Pseudo-Newton method for nonlinear equations

1999/06/09 by W. Chen, Chen, W.
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Optimization Algorithms Research #FOS: Mathematics #G.1.2 #G.1.3 #G.1.5 #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.math/9906055

openalex publication_date 1999/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In order to avoid the evaluation of the Jacobian matrix and its inverse, the present author recently introduced the pseudo-Jacobian matrix with a general applicability of any nonlinear systems of equations. By using this concept, this paper proposes the pseudo-Newton method

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