PCG methods applied to a system of nonlinear equations

Xiaojun Chen, Tetsuro Yamamoto

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


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
Issue number1-3
Publication statusPublished - 23 Dec 1991
Externally publishedYes


  • Newton-like method
  • nonlinear equations
  • PCG method

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis


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