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2002•Unpublished venueRequires access

P.C. Iterative Format of Newton Method

Zhenhu Yang

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Abstract

Based on Newton iterative method, an efficient scheme of Predictor-Corrector (P.C.) iterative algorithm is presented in this paper. The method is used to replace the derivation in Newton format by the difference quotient in order to solve the type of equation that has multiple roots, It is shown by numerical examples that P.C. iterative algorithm is not only effective in solving the multiple root problem, but also has a high speed of convergence.

About this research paper

What this paper is about

Based on Newton iterative method, an efficient scheme of Predictor-Corrector (P.C.) iterative algorithm is presented in this paper. The method is used to replace the derivation in Newton format by the difference quotient in order to solve the type of equation that has multiple roots, It is shown by numerical examples that P.C. iterative algorithm is not only effective in solving the multiple root problem, but also has a high speed of convergence.

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Available abstract

Based on Newton iterative method, an efficient scheme of Predictor-Corrector (P.C.) iterative algorithm is presented in this paper. The method is used to replace the derivation in Newton format by the difference quotient in order to solve the type of equation that has multiple roots, It is shown by numerical examples that P.C. iterative algorithm is not only effective in solving the multiple root problem, but also has a high speed of convergence.

Key concepts: Newton's method, Iterative method, Local convergence, Convergence (economics), Newton's method in optimization, Mathematics, Quotient, Root-finding algorithm

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