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The QR algorithm is a numerical procedure used to find the eigenvalues and eigenvectors of a matrix. It is based on the QR decomposition of a matrix, which factors a matrix \( A \) into a product of an orthogonal matrix \( Q \) and an upper triangular matrix \( R \). The algorithm is particularly effective for real and complex matrices and is widely used in computational linear algebra.

Ancestors (6)

  1. Numerical linear algebra
  2. Linear algebra
  3. Algebra
  4. Fields of mathematics
  5. Mathematics
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