Root-finding algorithms

Root-finding algorithms are mathematical methods used to find solutions to equations of the form \( f(x) = 0 \), where \( f \) is a continuous function. The solutions, known as "roots," are the values of \( x \) for which the function evaluates to zero. Root-finding is a fundamental problem in mathematics and has applications in various fields including engineering, physics, and computer science. There are several approaches to root-finding, each with its own method and characteristics.