Classifier Instance:

Anchor text: Laguerre's method
Target Entity: Laguerre\u0027s_method
Preceding Context: One possibility is to form the companion matrix of the polynomial. Since the eigenvalues of this matrix coincide with the roots of the polynomial, one can use any eigenvalue algorithm to find the roots of the polynomial. For instance the classical Bernoulli's method to find the root greater in modulus, if it exists, turns out to be the power method applied to the companion matrix. The inverse power method, which finds some smallest root first, is what drives the Jenkins–Traub method and gives it its numerical stability and fast convergence even in the presence of multiple or clustered roots.
Succeeding Context: , as well as Halley's method, use second order derivatives and complex arithmetics, including the complex square root, to exhibit cubic convergence for simple roots, dominating the quadratic convergence displayed by Newton's method.
Paragraph Title: null
Source Page: Root-finding algorithm

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