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Linear algebra
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851
Table of contents
851
1. Convex geometry
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Linear algebra
50
1.1. Asymptotic geometric analysis
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Convex geometry
1.2. Convex hulls
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Convex geometry
1.3. Geometric transversal theory
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Convex geometry
1.4. Oriented matroids
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Convex geometry
1.5. Polyhedra
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Convex geometry
1.6. Polytopes
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Convex geometry
1.7. Theorems in convex geometry
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Convex geometry
1.8. Antimatroid
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Convex geometry
1.9. B-convex space
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Convex geometry
1.10. Betavexity
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Convex geometry
1.11. Bond convexity
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Convex geometry
1.12. Busemann–Petty problem
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Convex geometry
1.13. Conical combination
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Convex geometry
1.14. Convex Polytopes
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Convex geometry
1.15. Convex analysis
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Convex geometry
1.16. Convex body
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Convex geometry
1.17. Convex combination
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Convex geometry
1.18. Convex curve
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Convex geometry
1.19. Convex metric space
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Convex geometry
1.20. Convex polygon
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Convex geometry
1.21. Convex polytope
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Convex geometry
1.22. Convex set
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Convex geometry
1.23. Convexity (finance)
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Convex geometry
1.24. Convexity in economics
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Convex geometry
1.25. Difference bound matrix
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Convex geometry
1.26. Dual cone and polar cone
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Convex geometry
1.27. Dykstra's projection algorithm
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Convex geometry
1.28. Equichordal point problem
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Convex geometry
1.29. Exposed point
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Convex geometry
1.30. Extreme point
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Convex geometry
1.31. Face (geometry)
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Convex geometry
1.32. Gilbert–Johnson–Keerthi distance algorithm
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Convex geometry
1.33. John ellipsoid
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Convex geometry
1.34. Klee–Minty cube
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Convex geometry
1.35. Lens (geometry)
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Convex geometry
1.36. List of convexity topics
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Convex geometry
1.37. Mahler volume
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Convex geometry
1.38. Minkowski Portal Refinement
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Convex geometry
1.39. Mixed volume
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Convex geometry
1.40. Non-convexity (economics)
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Convex geometry
1.41. Projection body
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Convex geometry
1.42. Projections onto convex sets
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Convex geometry
1.43. Region (model checking)
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Convex geometry
1.44. Rotating calipers
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Convex geometry
1.45. Shapley–Folkman lemma
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Convex geometry
1.46. Shephard's problem
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Convex geometry
1.47. Support function
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Convex geometry
1.48. Supporting hyperplane
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Convex geometry
1.49. Symmetric cone
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Convex geometry
1.50. Tangent cone
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Convex geometry
2. Geometric intersection
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Linear algebra
13
2.1. Intersection theory
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Geometric intersection
2.2. Crossing number (graph theory)
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Geometric intersection
2.3. Intersection (geometry)
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Geometric intersection
2.4. Intersection curve
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Geometric intersection
2.5. Line–plane intersection
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Geometric intersection
2.6. Line–sphere intersection
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Geometric intersection
2.7. Multiple line segment intersection
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Geometric intersection
2.8. Möller–Trumbore intersection algorithm
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Geometric intersection
2.9. Plane–plane intersection
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Geometric intersection
2.10. Sliver polygon
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Geometric intersection
2.11. Sphere–cylinder intersection
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Geometric intersection
2.12. Surface-to-surface intersection problem
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Geometric intersection
2.13. Thrackle
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Geometric intersection
3. Invariant subspaces
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Linear algebra
7
3.1. Beurling–Lax theorem
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Invariant subspaces
3.2. Hypercyclic operator
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Invariant subspaces
3.3. Invariant subspace problem
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Invariant subspaces
3.4. Krylov subspace
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Invariant subspaces
3.5. Quasinormal operator
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Invariant subspaces
3.6. Reflexive operator algebra
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Invariant subspaces
3.7. Wold's decomposition
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Invariant subspaces
4. Linear operators
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Linear algebra
39
4.1. Generalizations of the derivative
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Linear operators
4.2. Integral transforms
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Linear operators
4.3. Linear functionals
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Linear operators
4.4. Linear operators in calculus
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Linear operators
4.5. Transforms
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Linear operators
4.6. Unitary operators
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Linear operators
4.7. Bounded operator
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Linear operators
4.8. Compact operator
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Linear operators
4.9. Compact operator on Hilbert space
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Linear operators
4.10. Continuous linear extension
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Linear operators
4.11. Continuous linear operator
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Linear operators
4.12. Cyclic and separating vector
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Linear operators
4.13. Densely defined operator
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Linear operators
4.14. Dissipative operator
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Linear operators
4.15. Extensions of symmetric operators
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Linear operators
4.16. Fredholm kernel
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Linear operators
4.17. Fredholm operator
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Linear operators
4.18. Friedrichs extension
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Linear operators
4.19. Hilbert–Schmidt integral operator
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Linear operators
4.20. Hilbert–Schmidt operator
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Linear operators
4.21. Hyponormal operator
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Linear operators
4.22. Integral linear operator
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Linear operators
4.23. Limiting absorption principle
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Linear operators
4.24. Limiting amplitude principle
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Linear operators
4.25. Normal operator
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Linear operators
4.26. Nuclear operator
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Linear operators
4.27. Nuclear operators between Banach spaces
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Linear operators
4.28. Operational calculus
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Linear operators
4.29. Paranormal operator
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Linear operators
4.30. Reflection (mathematics)
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Linear operators
4.31. Rotation (mathematics)
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Linear operators
4.32. Self-adjoint operator
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Linear operators
4.33. Spectral theory of compact operators
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Linear operators
4.34. Strictly singular operator
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Linear operators
4.35. Subnormal operator
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Linear operators
4.36. Toeplitz operator
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Linear operators
4.37. Trace class
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Linear operators
4.38. Unbounded operator
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Linear operators
4.39. Unitary operator
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Linear operators
5. Matrices
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Linear algebra
191
5.1. Random matrices
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Matrices
5.2. Sparse matrices
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Matrices
5.3. Algebraic Riccati equation
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Matrices
5.4. Alternant matrix
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Matrices
5.5. Alternating sign matrix
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Matrices
5.6. Aluthge transform
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Matrices
5.7. Anti-diagonal matrix
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Matrices
5.8. Arrowhead matrix
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Matrices
5.9. Augmented matrix
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Matrices
5.10. BLOSUM
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Matrices
5.11. Balanced matrix
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Matrices
5.12. Bartels–Stewart algorithm
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Matrices
5.13. Bicomplex number
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Matrices
5.14. Birkhoff algorithm
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Matrices
5.15. Birkhoff factorization
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Matrices
5.16. Birkhoff polytope
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Matrices
5.17. Bisymmetric matrix
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Matrices
5.18. Block matrix
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Matrices
5.19. Block reflector
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Matrices
5.20. Bohemian matrices
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Matrices
5.21. Boolean matrix
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Matrices
5.22. Brahmagupta matrix
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Matrices
5.23. Brandt matrix
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Matrices
5.24. Butson-type Hadamard matrix
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Matrices
5.25. Bézout matrix
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Matrices
5.26. CUR matrix approximation
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Matrices
5.27. Cabibbo–Kobayashi–Maskawa matrix
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Matrices
5.28. Cartan matrix
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Matrices
5.29. Cauchy matrix
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Matrices
5.30. Centering matrix
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Matrices
5.31. Circulant matrix
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Matrices
5.32. Column groups and row groups
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Matrices
5.33. Companion matrix
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Matrices
5.34. Comparison matrix
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Matrices
5.35. Completely-S matrix
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Matrices
5.36. Complex Hadamard matrix
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Matrices
5.37. Compound matrix
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Matrices
5.38. Condition number
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Matrices
5.39. Constrained generalized inverse
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Matrices
5.40. Continuant (mathematics)
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Matrices
5.41. Convergent matrix
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Matrices
5.42. Copositive matrix
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Matrices
5.43. Corner transfer matrix
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Matrices
5.44. Covariance matrix
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Matrices
5.45. Cross-correlation matrix
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Matrices
5.46. Cross-covariance matrix
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Matrices
5.47. Cross Gramian
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Matrices
5.48. DFT matrix
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Matrices
5.49. Decomposition matrix
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Matrices
5.50. Definite matrix
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Matrices
5.51. Density matrix embedding theory
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Matrices
5.52. Design matrix
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Matrices
5.53. Diagonalizable matrix
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Matrices
5.54. Diagonally dominant matrix
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Matrices
5.55. Distance matrix
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Matrices
5.56. Doubly stochastic matrix
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Matrices
5.57. Duplication and elimination matrices
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Matrices
5.58. EP matrix
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Matrices
5.59. Euclidean distance matrix
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Matrices
5.60. Fock matrix
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Matrices
5.61. Fundamental matrix (linear differential equation)
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Matrices
5.62. Fuzzy associative matrix
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Matrices
5.63. Gamma matrices
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Matrices
5.64. Gell-Mann matrices
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Matrices
5.65. Generalized inverse
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Matrices
5.66. Generalized permutation matrix
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Matrices
5.67. Givens rotation
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Matrices
5.68. Gram matrix
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Matrices
5.69. Green's matrix
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Matrices
5.70. H-matrix (iterative method)
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Matrices
5.71. Hadamard's maximal determinant problem
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Matrices
5.72. Hadamard matrix
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Matrices
5.73. Hamiltonian matrix
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Matrices
5.74. Hankel matrix
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Matrices
5.75. Hasse–Witt matrix
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Matrices
5.76. Hermitian matrix
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Matrices
5.77. Hessenberg matrix
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Matrices
5.78. Hessian automatic differentiation
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Matrices
5.79. Hessian matrix
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Matrices
5.80. Hierarchical matrix
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Matrices
5.81. Higher-dimensional gamma matrices
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Matrices
5.82. Higher spin alternating sign matrix
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Matrices
5.83. Hilbert matrix
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Matrices
5.84. Hollow matrix
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Matrices
5.85. Householder transformation
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Matrices
5.86. Hurwitz matrix
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Matrices
5.87. Identity matrix
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Matrices
5.88. Integer matrix
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Matrices
5.89. Involutory matrix
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Matrices
5.90. Irregular matrix
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Matrices
5.91. Jacket matrix
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Matrices
5.92. Jacobian matrix and determinant
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Matrices
5.93. John Williamson (mathematician)
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Matrices
5.94. Jones calculus
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Matrices
5.95. Krawtchouk matrices
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Matrices
5.96. L-matrix
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Matrices
5.97. Lehmer matrix
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Matrices
5.98. Leslie matrix
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Matrices
5.99. Levinson recursion
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Matrices
5.100. Linear group
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Matrices
5.101. List of named matrices
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Matrices
5.102. Logical matrix
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Matrices
5.103. M-matrix
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Matrices
5.104. Magic square
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Matrices
5.105. Main diagonal
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Matrices
5.106. Manin matrix
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Matrices
5.107. Matrix (mathematics)
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Matrices
5.108. Matrix chain multiplication
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Matrices
5.109. Matrix consimilarity
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Matrices
5.110. Matrix equivalence
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Matrices
5.111. Matrix regularization
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Matrices
5.112. Matrix representation
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Matrices
5.113. Matrix similarity
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Matrices
5.114. Matrix splitting
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Matrices
5.115. Metzler matrix
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Matrices
5.116. Modal matrix
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Matrices
5.117. Monotone matrix
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Matrices
5.118. Moore determinant of a Hermitian matrix
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Matrices
5.119. Moore matrix
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Matrices
5.120. Mueller calculus
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Matrices
5.121. Nekrasov matrix
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Matrices
5.122. Next-generation matrix
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Matrices
5.123. Nilpotent matrix
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Matrices
5.124. Nonnegative matrix
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Matrices
5.125. Normal matrix
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Matrices
5.126. Orbital overlap
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Matrices
5.127. Orthogonal matrix
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Matrices
5.128. Orthostochastic matrix
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Matrices
5.129. P-matrix
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Matrices
5.130. Packed storage matrix
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Matrices
5.131. Paley construction
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Matrices
5.132. Pascal matrix
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Matrices
5.133. Pauli matrices
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Matrices
5.134. Perfect matrix
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Matrices
5.135. Permutation matrix
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Matrices
5.136. Persymmetric matrix
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Matrices
5.137. Plücker matrix
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Matrices
5.138. Polyconvex function
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Matrices
5.139. Polynomial matrix
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Matrices
5.140. Projection matrix
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Matrices
5.141. Pseudo-determinant
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Matrices
5.142. Q-matrix
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Matrices
5.143. Quincunx matrix
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Matrices
5.144. R-matrix
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Matrices
5.145. Redheffer matrix
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Matrices
5.146. Redheffer star product
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Matrices
5.147. Regular Hadamard matrix
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Matrices
5.148. Rosenbrock system matrix
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Matrices
5.149. Rotation matrix
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Matrices
5.150. S-matrix
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Matrices
5.151. Sample mean and covariance
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Matrices
5.152. Scatter matrix
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Matrices
5.153. Semi-orthogonal matrix
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Matrices
5.154. Shift matrix
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Matrices
5.155. Signature matrix
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Matrices
5.156. Skew-symmetric matrix
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Matrices
5.157. Square matrix
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Matrices
5.158. Square root of a 2 by 2 matrix
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Matrices
5.159. Stieltjes matrix
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Matrices
5.160. Stochastic matrix
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Matrices
5.161. Substitution matrix
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Matrices
5.162. Supermatrix
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Matrices
5.163. Supnick matrix
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Matrices
5.164. Sylvester equation
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Matrices
5.165. Sylvester matrix
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Matrices
5.166. Symmetric matrix
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Matrices
5.167. Symplectic matrix
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Matrices
5.168. Toeplitz matrix
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Matrices
5.169. Total active reflection coefficient
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Matrices
5.170. Transfer function matrix
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Matrices
5.171. Transformation matrix
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Matrices
5.172. Transition-rate matrix
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Matrices
5.173. Transpositions matrix
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Matrices
5.174. Triangular matrix
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Matrices
5.175. Trifocal tensor
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Matrices
5.176. UK Molecular R-matrix Codes
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Matrices
5.177. Unimodular matrix
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Matrices
5.178. Unistochastic matrix
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Matrices
5.179. Unitary matrix
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Matrices
5.180. Vandermonde matrix
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Matrices
5.181. Variation diminishing property
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Matrices
5.182. WAIFW matrix
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Matrices
5.183. Walsh matrix
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Matrices
5.184. Weakly chained diagonally dominant matrix
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Matrices
5.185. Weyl–Brauer matrices
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Matrices
5.186. Wigner D-matrix
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Matrices
5.187. Wilkinson matrix
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Matrices
5.188. Wilson matrix
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Matrices
5.189. Woodbury matrix identity
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Matrices
5.190. Z-matrix (mathematics)
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Matrices
5.191. Zero matrix
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Matrices
6. Matrix theory
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Linear algebra
67
6.1. Matrix decompositions
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Matrix theory
6.2. Matrix normal forms
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Matrix theory
6.3. Triangles of numbers
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Matrix theory
6.4. Analytic function of a matrix
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Matrix theory
6.5. Antieigenvalue theory
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Matrix theory
6.6. Bidiagonalization
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Matrix theory
6.7. Block matrix pseudoinverse
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Matrix theory
6.8. Carleman matrix
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Matrix theory
6.9. Cayley–Hamilton theorem
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Matrix theory
6.10. Commuting matrices
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Matrix theory
6.11. Computational complexity of matrix multiplication
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Matrix theory
6.12. Cracovian
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Matrix theory
6.13. Crouzeix's conjecture
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Matrix theory
6.14. Cuthill–McKee algorithm
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Matrix theory
6.15. Derivative of the exponential map
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Matrix theory
6.16. Eigendecomposition of a matrix
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Matrix theory
6.17. Eigenvalues and eigenvectors of the second derivative
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Matrix theory
6.18. Freivalds' algorithm
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Matrix theory
6.19. Frobenius covariant
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Matrix theory
6.20. Frobenius determinant theorem
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Matrix theory
6.21. Frobenius inner product
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Matrix theory
6.22. GCD matrix
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Matrix theory
6.23. Hadamard product (matrices)
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Matrix theory
6.24. Jacobi's formula
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Matrix theory
6.25. Jordan matrix
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Matrix theory
6.26. Khatri–Rao product
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Matrix theory
6.27. Kronecker product
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Matrix theory
6.28. Kronecker sum of discrete Laplacians
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Matrix theory
6.29. Laplace expansion
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Matrix theory
6.30. Lie product formula
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Matrix theory
6.31. Logarithm of a matrix
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Matrix theory
6.32. Logarithmic norm
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Matrix theory
6.33. Matrix completion
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Matrix theory
6.34. Matrix decomposition
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Matrix theory
6.35. Matrix determinant lemma
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Matrix theory
6.36. Matrix exponential
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Matrix theory
6.37. Matrix multiplication
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Matrix theory
6.38. Matrix multiplication algorithm
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Matrix theory
6.39. Matrix polynomial
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Matrix theory
6.40. Minimal polynomial (linear algebra)
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Matrix theory
6.41. Minimum degree algorithm
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Matrix theory
6.42. Minor (linear algebra)
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Matrix theory
6.43. Moore–Penrose inverse
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Matrix theory
6.44. Nullity theorem
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Matrix theory
6.45. Partial inverse of a matrix
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Matrix theory
6.46. Perron–Frobenius theorem
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Matrix theory
6.47. Poincaré separation theorem
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Matrix theory
6.48. Polar decomposition
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Matrix theory
6.49. Quasideterminant
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Matrix theory
6.50. Rouché–Capelli theorem
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Matrix theory
6.51. SMAWK algorithm
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Matrix theory
6.52. Schur decomposition
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Matrix theory
6.53. Schur–Horn theorem
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Matrix theory
6.54. Sinkhorn's theorem
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Matrix theory
6.55. Smith normal form
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Matrix theory
6.56. Spark (mathematics)
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Matrix theory
6.57. Sparse graph code
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Matrix theory
6.58. Specht's theorem
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Matrix theory
6.59. Square root of a matrix
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Matrix theory
6.60. Sylvester's criterion
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Matrix theory
6.61. Sylvester's formula
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Matrix theory
6.62. Sylvester's law of inertia
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Matrix theory
6.63. Trace inequality
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Matrix theory
6.64. Trigonometric functions of matrices
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Matrix theory
6.65. Unipotent
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Matrix theory
6.66. Weighing matrix
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Matrix theory
6.67. Workshop on Numerical Ranges and Numerical Radii
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Matrix theory
7. Module theory
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Linear algebra
61
7.1. Algebra representation
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Module theory
7.2. Algebraically compact module
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Module theory
7.3. Annihilator (ring theory)
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Module theory
7.4. Artinian module
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Module theory
7.5. Artin–Rees lemma
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Module theory
7.6. Associated prime
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Module theory
7.7. Balanced module
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Module theory
7.8. Beauville–Laszlo theorem
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Module theory
7.9. Bimodule
link
nosplit
Module theory
7.10. Character module
link
nosplit
Module theory
7.11. Comodule
link
nosplit
Module theory
7.12. Composition series
link
nosplit
Module theory
7.13. Cyclic module
link
nosplit
Module theory
7.14. Decomposition of a module
link
nosplit
Module theory
7.15. Dense submodule
link
nosplit
Module theory
7.16. Depth (ring theory)
link
nosplit
Module theory
7.17. Eilenberg–Mazur swindle
link
nosplit
Module theory
7.18. Endomorphism ring
link
nosplit
Module theory
7.19. Essential extension
link
nosplit
Module theory
7.20. Finitely generated module
link
nosplit
Module theory
7.21. Fitting lemma
link
nosplit
Module theory
7.22. Flat cover
link
nosplit
Module theory
7.23. Flat module
link
nosplit
Module theory
7.24. Free module
link
nosplit
Module theory
7.25. Frobenius algebra
link
nosplit
Module theory
7.26. Glossary of module theory
link
nosplit
Module theory
7.27. Hopfian object
link
nosplit
Module theory
7.28. Indecomposable module
link
nosplit
Module theory
7.29. Injective hull
link
nosplit
Module theory
7.30. Injective module
link
nosplit
Module theory
7.31. Invariant basis number
link
nosplit
Module theory
7.32. Jacobson density theorem
link
nosplit
Module theory
7.33. Kaplansky's theorem on projective modules
link
nosplit
Module theory
7.34. Krull–Schmidt theorem
link
nosplit
Module theory
7.35. Lattice (module)
link
nosplit
Module theory
7.36. Length of a module
link
nosplit
Module theory
7.37. Localization (commutative algebra)
link
nosplit
Module theory
7.38. Mitchell's embedding theorem
link
nosplit
Module theory
7.39. Modular representation theory
link
nosplit
Module theory
7.40. Morita equivalence
link
nosplit
Module theory
7.41. N! conjecture
link
nosplit
Module theory
7.42. Noetherian module
link
nosplit
Module theory
7.43. Principal indecomposable module
link
nosplit
Module theory
7.44. Projective cover
link
nosplit
Module theory
7.45. Projective module
link
nosplit
Module theory
7.46. Pure submodule
link
nosplit
Module theory
7.47. Quasi-Frobenius ring
link
nosplit
Module theory
7.48. Quotient module
link
nosplit
Module theory
7.49. Resolution (algebra)
link
nosplit
Module theory
7.50. Schanuel's lemma
link
nosplit
Module theory
7.51. Semisimple module
link
nosplit
Module theory
7.52. Serial module
link
nosplit
Module theory
7.53. Simple module
link
nosplit
Module theory
7.54. Singular submodule
link
nosplit
Module theory
7.55. Socle (mathematics)
link
nosplit
Module theory
7.56. Supermodule
link
nosplit
Module theory
7.57. Support of a module
link
nosplit
Module theory
7.58. Tensor product of modules
link
nosplit
Module theory
7.59. Torsion (algebra)
link
nosplit
Module theory
7.60. Torsionless module
link
nosplit
Module theory
7.61. Uniform module
link
nosplit
Module theory
8. Multilinear algebra
link
nosplit
Linear algebra
36
8.1. Clifford algebras
link
nosplit
Multilinear algebra
8.2. Invariant theory
link
nosplit
Multilinear algebra
8.3. Monoidal categories
link
nosplit
Multilinear algebra
8.4. Tensors
link
nosplit
Multilinear algebra
8.5. Alternating multilinear map
link
nosplit
Multilinear algebra
8.6. Berezin integral
link
nosplit
Multilinear algebra
8.7. Bilinear map
link
nosplit
Multilinear algebra
8.8. Binet–Cauchy identity
link
nosplit
Multilinear algebra
8.9. Bivector
link
nosplit
Multilinear algebra
8.10. Cryptographic multilinear map
link
nosplit
Multilinear algebra
8.11. Cubic form
link
nosplit
Multilinear algebra
8.12. Discrete exterior calculus
link
nosplit
Multilinear algebra
8.13. Einstein notation
link
nosplit
Multilinear algebra
8.14. Exterior algebra
link
nosplit
Multilinear algebra
8.15. Gamas's Theorem
link
nosplit
Multilinear algebra
8.16. Glossary of tensor theory
link
nosplit
Multilinear algebra
8.17. HOSVD-based canonical form of TP functions and qLPV models
link
nosplit
Multilinear algebra
8.18. Higher-order singular value decomposition
link
nosplit
Multilinear algebra
8.19. Homogeneous polynomial
link
nosplit
Multilinear algebra
8.20. Hyperdeterminant
link
nosplit
Multilinear algebra
8.21. Interior product
link
nosplit
Multilinear algebra
8.22. Lagrange's identity
link
nosplit
Multilinear algebra
8.23. Multilinear map
link
nosplit
Multilinear algebra
8.24. Multilinear multiplication
link
nosplit
Multilinear algebra
8.25. Multilinear subspace learning
link
nosplit
Multilinear algebra
8.26. Multivector
link
nosplit
Multilinear algebra
8.27. Paravector
link
nosplit
Multilinear algebra
8.28. Pfaffian
link
nosplit
Multilinear algebra
8.29. Plücker coordinates
link
nosplit
Multilinear algebra
8.30. Skew lines
link
nosplit
Multilinear algebra
8.31. Symmetric algebra
link
nosplit
Multilinear algebra
8.32. Tensor algebra
link
nosplit
Multilinear algebra
8.33. Tensor field
link
nosplit
Multilinear algebra
8.34. Tensor product of algebras
link
nosplit
Multilinear algebra
8.35. Tensor rank decomposition
link
nosplit
Multilinear algebra
8.36. Tensor reshaping
link
nosplit
Multilinear algebra
9. Numerical linear algebra
link
nosplit
Linear algebra
89
9.1. Domain decomposition methods
link
nosplit
Numerical linear algebra
9.2. Exchange algorithms
link
nosplit
Numerical linear algebra
9.3. Least squares
link
nosplit
Numerical linear algebra
9.4. Matrix multiplication algorithms
link
nosplit
Numerical linear algebra
9.5. Relaxation (iterative methods)
link
nosplit
Numerical linear algebra
9.6. ABS methods
link
nosplit
Numerical linear algebra
9.7. Armadillo (C++ library)
link
nosplit
Numerical linear algebra
9.8. Arnoldi iteration
link
nosplit
Numerical linear algebra
9.9. Automatically Tuned Linear Algebra Software
link
nosplit
Numerical linear algebra
9.10. BLIS (software)
link
nosplit
Numerical linear algebra
9.11. Backfitting algorithm
link
nosplit
Numerical linear algebra
9.12. Basic Linear Algebra Subprograms
link
nosplit
Numerical linear algebra
9.13. Biconjugate gradient method
link
nosplit
Numerical linear algebra
9.14. Biconjugate gradient stabilized method
link
nosplit
Numerical linear algebra
9.15. Block Wiedemann algorithm
link
nosplit
Numerical linear algebra
9.16. Chebyshev iteration
link
nosplit
Numerical linear algebra
9.17. Cholesky decomposition
link
nosplit
Numerical linear algebra
9.18. Comparison of linear algebra libraries
link
nosplit
Numerical linear algebra
9.19. Complete orthogonal decomposition
link
nosplit
Numerical linear algebra
9.20. Conjugate gradient method
link
nosplit
Numerical linear algebra
9.21. Conjugate residual method
link
nosplit
Numerical linear algebra
9.22. DADiSP
link
nosplit
Numerical linear algebra
9.23. DIIS
link
nosplit
Numerical linear algebra
9.24. Data Analytics Library
link
nosplit
Numerical linear algebra
9.25. Derivation of the conjugate gradient method
link
nosplit
Numerical linear algebra
9.26. Divide-and-conquer eigenvalue algorithm
link
nosplit
Numerical linear algebra
9.27. Dune (software)
link
nosplit
Numerical linear algebra
9.28. EISPACK
link
nosplit
Numerical linear algebra
9.29. Eigenmode expansion
link
nosplit
Numerical linear algebra
9.30. Eigenvalue algorithm
link
nosplit
Numerical linear algebra
9.31. Frontal solver
link
nosplit
Numerical linear algebra
9.32. Gaussian elimination
link
nosplit
Numerical linear algebra
9.33. Gauss–Seidel method
link
nosplit
Numerical linear algebra
9.34. Generalized minimal residual method
link
nosplit
Numerical linear algebra
9.35. GotoBLAS
link
nosplit
Numerical linear algebra
9.36. GraphBLAS
link
nosplit
Numerical linear algebra
9.37. Hypre
link
nosplit
Numerical linear algebra
9.38. ILNumerics
link
nosplit
Numerical linear algebra
9.39. In-place matrix transposition
link
nosplit
Numerical linear algebra
9.40. Incomplete Cholesky factorization
link
nosplit
Numerical linear algebra
9.41. Incomplete LU factorization
link
nosplit
Numerical linear algebra
9.42. Interpolative decomposition
link
nosplit
Numerical linear algebra
9.43. Inverse iteration
link
nosplit
Numerical linear algebra
9.44. Iterative refinement
link
nosplit
Numerical linear algebra
9.45. Jacobi eigenvalue algorithm
link
nosplit
Numerical linear algebra
9.46. Jacobi method
link
nosplit
Numerical linear algebra
9.47. Jacobi method for complex Hermitian matrices
link
nosplit
Numerical linear algebra
9.48. Jacobi rotation
link
nosplit
Numerical linear algebra
9.49. Julia (programming language)
link
nosplit
Numerical linear algebra
9.50. Kaczmarz method
link
nosplit
Numerical linear algebra
9.51. Kreiss matrix theorem
link
nosplit
Numerical linear algebra
9.52. LAPACK
link
nosplit
Numerical linear algebra
9.53. LINPACK
link
nosplit
Numerical linear algebra
9.54. LOBPCG
link
nosplit
Numerical linear algebra
9.55. LU decomposition
link
nosplit
Numerical linear algebra
9.56. LU reduction
link
nosplit
Numerical linear algebra
9.57. Lanczos algorithm
link
nosplit
Numerical linear algebra
9.58. Librsb
link
nosplit
Numerical linear algebra
9.59. Lis (linear algebra library)
link
nosplit
Numerical linear algebra
9.60. Low-rank approximation
link
nosplit
Numerical linear algebra
9.61. Matrix-free methods
link
nosplit
Numerical linear algebra
9.62. Method of Four Russians
link
nosplit
Numerical linear algebra
9.63. Minimal residual method
link
nosplit
Numerical linear algebra
9.64. Modal analysis using FEM
link
nosplit
Numerical linear algebra
9.65. Modified Richardson iteration
link
nosplit
Numerical linear algebra
9.66. Nested dissection
link
nosplit
Numerical linear algebra
9.67. Numerical methods for linear least squares
link
nosplit
Numerical linear algebra
9.68. OpenBLAS
link
nosplit
Numerical linear algebra
9.69. Pivot element
link
nosplit
Numerical linear algebra
9.70. Portable, Extensible Toolkit for Scientific Computation
link
nosplit
Numerical linear algebra
9.71. Power iteration
link
nosplit
Numerical linear algebra
9.72. Preconditioner
link
nosplit
Numerical linear algebra
9.73. Pseudospectrum
link
nosplit
Numerical linear algebra
9.74. QR algorithm
link
nosplit
Numerical linear algebra
9.75. QR decomposition
link
nosplit
Numerical linear algebra
9.76. Rayleigh quotient iteration
link
nosplit
Numerical linear algebra
9.77. Relaxation (iterative method)
link
nosplit
Numerical linear algebra
9.78. Row echelon form
link
nosplit
Numerical linear algebra
9.79. Rybicki Press algorithm
link
nosplit
Numerical linear algebra
9.80. SLEPc
link
nosplit
Numerical linear algebra
9.81. SPIKE algorithm
link
nosplit
Numerical linear algebra
9.82. SequenceL
link
nosplit
Numerical linear algebra
9.83. Sparse approximation
link
nosplit
Numerical linear algebra
9.84. Speakeasy (computational environment)
link
nosplit
Numerical linear algebra
9.85. Stein-Rosenberg theorem
link
nosplit
Numerical linear algebra
9.86. Stone's method
link
nosplit
Numerical linear algebra
9.87. Successive over-relaxation
link
nosplit
Numerical linear algebra
9.88. Tridiagonal matrix algorithm
link
nosplit
Numerical linear algebra
9.89. Walter Edwin Arnoldi
link
nosplit
Numerical linear algebra
10. Super linear algebra
link
nosplit
Linear algebra
7
10.1. Berezinian
link
nosplit
Super linear algebra
10.2. Poisson superalgebra
link
nosplit
Super linear algebra
10.3. Super vector space
link
nosplit
Super linear algebra
10.4. Superalgebra
link
nosplit
Super linear algebra
10.5. Supercommutative algebra
link
nosplit
Super linear algebra
10.6. Supergroup (physics)
link
nosplit
Super linear algebra
10.7. Supertrace
link
nosplit
Super linear algebra
11. Theorems in linear algebra
link
nosplit
Linear algebra
10
11.1. Lemmas in linear algebra
link
nosplit
Theorems in linear algebra
11.2. Chebotarev theorem on roots of unity
link
nosplit
Theorems in linear algebra
11.3. Cramer's rule
link
nosplit
Theorems in linear algebra
11.4. Goddard–Thorn theorem
link
nosplit
Theorems in linear algebra
11.5. Hawkins–Simon condition
link
nosplit
Theorems in linear algebra
11.6. MacMahon's master theorem
link
nosplit
Theorems in linear algebra
11.7. Principal axis theorem
link
nosplit
Theorems in linear algebra
11.8. Rank–nullity theorem
link
nosplit
Theorems in linear algebra
11.9. Schur's theorem
link
nosplit
Theorems in linear algebra
11.10. Witt's theorem
link
nosplit
Theorems in linear algebra
12. Vector spaces
link
nosplit
Linear algebra
8
12.1. Function spaces
link
nosplit
Vector spaces
12.2. Metric linear spaces
link
nosplit
Vector spaces
12.3. Complexification
link
nosplit
Vector spaces
12.4. Examples of vector spaces
link
nosplit
Vector spaces
12.5. Graded vector space
link
nosplit
Vector spaces
12.6. Ordered vector space
link
nosplit
Vector spaces
12.7. Real-valued function
link
nosplit
Vector spaces
12.8. Topological vector space
link
nosplit
Vector spaces
13. 3D projection
link
nosplit
Linear algebra
14. Adjugate matrix
link
nosplit
Linear algebra
15. Affine space
link
nosplit
Linear algebra
16. Amitsur–Levitzki theorem
link
nosplit
Linear algebra
17. Angles between flats
link
nosplit
Linear algebra
18. Antiunitary operator
link
nosplit
Linear algebra
19. Backus–Gilbert method
link
nosplit
Linear algebra
20. Balanced set
link
nosplit
Linear algebra
21. Barycentric coordinate system
link
nosplit
Linear algebra
22. Basis (linear algebra)
link
nosplit
Linear algebra
23. Basis function
link
nosplit
Linear algebra
24. Bidiagonal matrix
link
nosplit
Linear algebra
25. Big M method
link
nosplit
Linear algebra
26. Bra–ket notation
link
nosplit
Linear algebra
27. Bunch–Nielsen–Sorensen formula
link
nosplit
Linear algebra
28. CSS code
link
nosplit
Linear algebra
29. Cartesian tensor
link
nosplit
Linear algebra
30. Cauchy–Schwarz inequality
link
nosplit
Linear algebra
31. Centrosymmetric matrix
link
nosplit
Linear algebra
32. Change of basis
link
nosplit
Linear algebra
33. Characteristic polynomial
link
nosplit
Linear algebra
34. Choi's theorem on completely positive maps
link
nosplit
Linear algebra
35. Coates graph
link
nosplit
Linear algebra
36. Coefficient matrix
link
nosplit
Linear algebra
37. Combinatorial matrix theory
link
nosplit
Linear algebra
38. Commutation matrix
link
nosplit
Linear algebra
39. Compressed sensing
link
nosplit
Linear algebra
40. Computing the permanent
link
nosplit
Linear algebra
41. Conformable matrix
link
nosplit
Linear algebra
42. Conjugate transpose
link
nosplit
Linear algebra
43. Constant-recursive sequence
link
nosplit
Linear algebra
44. Controlled invariant subspace
link
nosplit
Linear algebra
45. Convex cone
link
nosplit
Linear algebra
46. Corank
link
nosplit
Linear algebra
47. Cyclic subspace
link
nosplit
Linear algebra
48. Defective matrix
link
nosplit
Linear algebra
49. Definite quadratic form
link
nosplit
Linear algebra
50. Delta operator
link
nosplit
Linear algebra
51. Dependence relation
link
nosplit
Linear algebra
52. Dieudonné determinant
link
nosplit
Linear algebra
53. Direct sum of modules
link
nosplit
Linear algebra
54. Dual basis
link
nosplit
Linear algebra
55. Dual basis in a field extension
link
nosplit
Linear algebra
56. Dual norm
link
nosplit
Linear algebra
57. Dual number
link
nosplit
Linear algebra
58. Dual space
link
nosplit
Linear algebra
59. Eigenoperator
link
nosplit
Linear algebra
60. Eigenplane
link
nosplit
Linear algebra
61. Eigenvalue perturbation
link
nosplit
Linear algebra
62. Elementary matrix
link
nosplit
Linear algebra
63. Entanglement-assisted stabilizer formalism
link
nosplit
Linear algebra
64. Euclidean space
link
nosplit
Linear algebra
65. Faddeev–LeVerrier algorithm
link
nosplit
Linear algebra
66. Fangcheng (mathematics)
link
nosplit
Linear algebra
67. Finite von Neumann algebra
link
nosplit
Linear algebra
68. Flag (linear algebra)
link
nosplit
Linear algebra
69. Flat (geometry)
link
nosplit
Linear algebra
70. Frame (linear algebra)
link
nosplit
Linear algebra
71. Fredholm's theorem
link
nosplit
Linear algebra
72. Fredholm alternative
link
nosplit
Linear algebra
73. Frobenius normal form
link
nosplit
Linear algebra
74. Function space
link
nosplit
Linear algebra
75. Fusion frame
link
nosplit
Linear algebra
76. Generalizations of Pauli matrices
link
nosplit
Linear algebra
77. Generalized eigenvector
link
nosplit
Linear algebra
78. Generalized singular value decomposition
link
nosplit
Linear algebra
79. Gershgorin circle theorem
link
nosplit
Linear algebra
80. Glossary of linear algebra
link
nosplit
Linear algebra
81. Golden–Thompson inequality
link
nosplit
Linear algebra
82. Graded (mathematics)
link
nosplit
Linear algebra
83. Gram–Schmidt process
link
nosplit
Linear algebra
84. Hahn–Banach theorem
link
nosplit
Linear algebra
85. Haynsworth inertia additivity formula
link
nosplit
Linear algebra
86. Hermite normal form
link
nosplit
Linear algebra
87. Hilbert space
link
nosplit
Linear algebra
88. Hilbert–Poincaré series
link
nosplit
Linear algebra
89. Homogeneous coordinates
link
nosplit
Linear algebra
90. Homogeneous function
link
nosplit
Linear algebra
91. Hurwitz determinant
link
nosplit
Linear algebra
92. Hyperplane
link
nosplit
Linear algebra
93. Indeterminate system
link
nosplit
Linear algebra
94. Integer points in convex polyhedra
link
nosplit
Linear algebra
95. International Linear Algebra Society
link
nosplit
Linear algebra
96. Invariant subspace
link
nosplit
Linear algebra
97. Invariants of tensors
link
nosplit
Linear algebra
98. Invertible matrix
link
nosplit
Linear algebra
99. Joint spectral radius
link
nosplit
Linear algebra
100. Jordan normal form
link
nosplit
Linear algebra
101. Jordan–Chevalley decomposition
link
nosplit
Linear algebra
102. K-SVD
link
nosplit
Linear algebra
103. K-frame
link
nosplit
Linear algebra
104. Kernel (linear algebra)
link
nosplit
Linear algebra
105. Lattice reduction
link
nosplit
Linear algebra
106. Least-squares spectral analysis
link
nosplit
Linear algebra
107. Leibniz formula for determinants
link
nosplit
Linear algebra
108. Levi-Civita symbol
link
nosplit
Linear algebra
109. Line segment
link
nosplit
Linear algebra
110. Linear combination
link
nosplit
Linear algebra
111. Linear complementarity problem
link
nosplit
Linear algebra
112. Linear equation over a ring
link
nosplit
Linear algebra
113. Linear form
link
nosplit
Linear algebra
114. Linear inequality
link
nosplit
Linear algebra
115. Linear recurrence with constant coefficients
link
nosplit
Linear algebra
116. Linear relation
link
nosplit
Linear algebra
117. Linear subspace
link
nosplit
Linear algebra
118. Line–line intersection
link
nosplit
Linear algebra
119. List of vector spaces in mathematics
link
nosplit
Linear algebra
120. Loewner order
link
nosplit
Linear algebra
121. Majorization
link
nosplit
Linear algebra
122. Matrix Chernoff bound
link
nosplit
Linear algebra
123. Matrix addition
link
nosplit
Linear algebra
124. Matrix analysis
link
nosplit
Linear algebra
125. Matrix calculus
link
nosplit
Linear algebra
126. Matrix congruence
link
nosplit
Linear algebra
127. Matrix difference equation
link
nosplit
Linear algebra
128. Matrix norm
link
nosplit
Linear algebra
129. Matrix sign function
link
nosplit
Linear algebra
130. Motzkin-Taussky theorem
link
nosplit
Linear algebra
131. Newton's identities
link
nosplit
Linear algebra
132. Non-negative matrix factorization
link
nosplit
Linear algebra
133. Nonlinear eigenproblem
link
nosplit
Linear algebra
134. Nonnegative rank (linear algebra)
link
nosplit
Linear algebra
135. Norm (mathematics)
link
nosplit
Linear algebra
136. Null vector
link
nosplit
Linear algebra
137. Nullspace property
link
nosplit
Linear algebra
138. Numerical range
link
nosplit
Linear algebra
139. Orientation (vector space)
link
nosplit
Linear algebra
140. Orientation of a vector bundle
link
nosplit
Linear algebra
141. Orthant
link
nosplit
Linear algebra
142. Orthogonal Procrustes problem
link
nosplit
Linear algebra
143. Orthogonal basis
link
nosplit
Linear algebra
144. Orthogonal complement
link
nosplit
Linear algebra
145. Orthogonal transformation
link
nosplit
Linear algebra
146. Orthogonalization
link
nosplit
Linear algebra
147. Orthographic projection
link
nosplit
Linear algebra
148. Orthonormal basis
link
nosplit
Linear algebra
149. Orthonormality
link
nosplit
Linear algebra
150. Outline of linear algebra
link
nosplit
Linear algebra
151. Overcompleteness
link
nosplit
Linear algebra
152. Overdetermined system
link
nosplit
Linear algebra
153. Pairing
link
nosplit
Linear algebra
154. Partial trace
link
nosplit
Linear algebra
155. Peetre's inequality
link
nosplit
Linear algebra
156. Pohlke's theorem
link
nosplit
Linear algebra
157. Productive matrix
link
nosplit
Linear algebra
158. Projection-valued measure
link
nosplit
Linear algebra
159. Projection (linear algebra)
link
nosplit
Linear algebra
160. Projectivization
link
nosplit
Linear algebra
161. Quadratic eigenvalue problem
link
nosplit
Linear algebra
162. Quadratic form
link
nosplit
Linear algebra
163. Quasinorm
link
nosplit
Linear algebra
164. Quaternionic matrix
link
nosplit
Linear algebra
165. Quotient space (linear algebra)
link
nosplit
Linear algebra
166. Radial set
link
nosplit
Linear algebra
167. Rank-width
link
nosplit
Linear algebra
168. Rank (linear algebra)
link
nosplit
Linear algebra
169. Rank factorization
link
nosplit
Linear algebra
170. Rayleigh quotient
link
nosplit
Linear algebra
171. Rayleigh theorem for eigenvalues
link
nosplit
Linear algebra
172. Reducing subspace
link
nosplit
Linear algebra
173. Reduction (mathematics)
link
nosplit
Linear algebra
174. Regularized least squares
link
nosplit
Linear algebra
175. Resolvent set
link
nosplit
Linear algebra
176. Restricted isometry property
link
nosplit
Linear algebra
177. Ridge regression
link
nosplit
Linear algebra
178. Rota's basis conjecture
link
nosplit
Linear algebra
179. Rotation of axes in two dimensions
link
nosplit
Linear algebra
180. Row equivalence
link
nosplit
Linear algebra
181. Rule of Sarrus
link
nosplit
Linear algebra
182. S-procedure
link
nosplit
Linear algebra
183. Samuelson–Berkowitz algorithm
link
nosplit
Linear algebra
184. Schmidt decomposition
link
nosplit
Linear algebra
185. Schur complement
link
nosplit
Linear algebra
186. Schur product theorem
link
nosplit
Linear algebra
187. Sedrakyan's inequality
link
nosplit
Linear algebra
188. Semi-simplicity
link
nosplit
Linear algebra
189. Semilinear map
link
nosplit
Linear algebra
190. Seminorm
link
nosplit
Linear algebra
191. Sesquilinear form
link
nosplit
Linear algebra
192. Shear mapping
link
nosplit
Linear algebra
193. Shear matrix
link
nosplit
Linear algebra
194. Sherman–Morrison formula
link
nosplit
Linear algebra
195. Signal-flow graph
link
nosplit
Linear algebra
196. Singular value decomposition
link
nosplit
Linear algebra
5
196.1. Ervand Kogbetliantz
link
nosplit
Singular value decomposition
196.2. Gene H. Golub
link
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Singular value decomposition
196.3. Normal mode
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Singular value decomposition
196.4. Singular value
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Singular value decomposition
196.5. Two-dimensional singular-value decomposition
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Singular value decomposition
197. Skew-Hamiltonian matrix
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Linear algebra
198. Special linear group
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Linear algebra
199. Spectral theorem
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Linear algebra
200. Spectral theory
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Linear algebra
35
200.1. Almost Mathieu operator
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Spectral theory
200.2. Bauer–Fike theorem
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Spectral theory
200.3. Decomposition of spectrum (functional analysis)
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Spectral theory
200.4. Dirichlet eigenvalue
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Spectral theory
200.5. Discrete spectrum (mathematics)
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Spectral theory
200.6. Essential spectrum
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Spectral theory
200.7. Fractional Chebyshev collocation method
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Spectral theory
200.8. Fredholm theory
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Spectral theory
200.9. Hearing the shape of a drum
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Spectral theory
200.10. Heat kernel
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Spectral theory
200.11. Isospectral
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Spectral theory
200.12. Krein–Rutman theorem
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Spectral theory
200.13. Kuznetsov trace formula
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Spectral theory
200.14. Lax pair
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Spectral theory
200.15. Min-max theorem
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Spectral theory
200.16. Multi-spectral phase coherence
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Spectral theory
200.17. Normal eigenvalue
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Spectral theory
200.18. Paul Gauduchon
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Spectral theory
200.19. Polyakov formula
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Spectral theory
200.20. Proto-value function
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Spectral theory
200.21. Rayleigh–Faber–Krahn inequality
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Spectral theory
200.22. Riesz projector
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Spectral theory
200.23. Rigged Hilbert space
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Spectral theory
200.24. Selberg zeta function
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Spectral theory
200.25. Spectral asymmetry
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Spectral theory
200.26. Spectral geometry
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Spectral theory
200.27. Spectral radius
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Spectral theory
200.28. Spectral theory of normal C*-algebras
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Spectral theory
200.29. Spectral theory of ordinary differential equations
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Spectral theory
200.30. Spectrum (functional analysis)
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Spectral theory
200.31. Spectrum of a C*-algebra
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Spectral theory
200.32. Starlike tree
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Spectral theory
200.33. Sturm–Liouville theory
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Spectral theory
200.34. Transfer operator
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Spectral theory
200.35. Weyl law
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Spectral theory
201. Spherical basis
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Linear algebra
202. Spinors in three dimensions
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Linear algebra
203. Split-complex number
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Linear algebra
204. Spread of a matrix
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Linear algebra
205. Squeeze mapping
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Linear algebra
206. Stabilizer code
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Linear algebra
207. Standard basis
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Linear algebra
208. Star domain
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Linear algebra
209. Stokes operator
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Linear algebra
210. Sublinear function
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Linear algebra
211. Symplectic vector space
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Linear algebra
212. System of linear equations
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Linear algebra
213. Szegő limit theorems
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Linear algebra
214. Tapering (mathematics)
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Linear algebra
215. Tensor operator
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Linear algebra
216. Tensor product of Hilbert spaces
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Linear algebra
217. Three-dimensional rotation operator
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Linear algebra
218. Trace (linear algebra)
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Linear algebra
219. Trace diagram
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Linear algebra
220. Trace identity
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Linear algebra
221. Translation of axes
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Linear algebra
222. Transpose of a linear map
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Linear algebra
223. Triangle inequality
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Linear algebra
224. Trilinear coordinates
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Linear algebra
225. Underdetermined system
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Linear algebra
226. Unitary transformation
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Linear algebra
227. Vectorization (mathematics)
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Linear algebra
228. Weyl's inequality
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Linear algebra
229. Weyr canonical form
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Linear algebra
230. Z-order curve
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Linear algebra
231. Zassenhaus algorithm
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Linear algebra
232. Zech's logarithm
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Linear algebra
233. Zero object (algebra)
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Linear algebra
Ancestors
Algebra
Fields of mathematics
Mathematics
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