The simultaneous approximation of polynomial roots

DOI10.1016/S0898-1221(01)85002-1zbMath1022.65054WikidataQ127957359 ScholiaQ127957359MaRDI QIDQ5948688

A. M. Niell

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

iterative methodlocal convergenceglobol convergenceNewton-type methodpolynomial rootssimulatneous approximationWeierstrass method

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items

Jacobi-free and complex-free method for finding simultaneously all zeros of polynomials having only real zeros, Convergence of the two-point Weierstrass root-finding method, On a family of Weierstrass-type root-finding methods with accelerated convergence, The Weierstrass iterative method as a Petrov-Galerkin method for solving eigenvalue problem

Cites Work

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• On a Method of Weierstraß for the Simultaneous Calculation of the Roots of a Polynomial