PCG methods applied to a system of nonlinear equations

Xiaojun Chen, Tetsuro Yamamoto

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

In this paper, we consider a quasi-Newton iteration for solving a nonlinear equation F(x) = Ax + g(x) = 0 in Rn, where A is a symmetric positive definite matrix and g is a bounded continuous function. We discuss the PCG method with various preconditioners to solve the linear equation at each step of the iteration, estimate their condition numbers, and compare their computing time for a numerical example.
Original languageEnglish
Pages (from-to)61-75
Number of pages15
JournalJournal of Computational and Applied Mathematics
Volume38
Issue number1-3
DOIs
Publication statusPublished - 23 Dec 1991
Externally publishedYes

Keywords

  • Newton-like method
  • nonlinear equations
  • PCG method

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

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