A combined method for polynomial roots using modified Newton-Raphson with minimum searching

DOI10.1016/0377-0427(92)90084-BzbMath0768.65021MaRDI QIDQ1200179

Walter C. Lynge

Publication date: 17 January 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsanalytic functionpolynomial rootsroot-finding algorithmmodified Newton-Raphson 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)

Uses Software

• EISPACK

Cites Work

• Unnamed Item
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• A three-stage variable-shift iteration for polynomial zeros and its relation to generalized Rayleigh iteration
• A Three-Stage Algorithm for Real Polynomials Using Quadratic Iteration
• An Error Analysis for Numerical Differentiation

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