Conjugate gradient predictor corrector method for solving large scale problems

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1 Citation (Scopus)

Abstract

In this paper, we give a new method for solving large scale problems. The basic idea of this method depends on implementing the conjugate gradient as a corrector into a continuation method. We use the Euler method as a predictor. Adaptive steplength control is used during the tracing of the solution curve. We present some of our experimental examples to demonstrate the efficiency of the method.

Original languageEnglish
Pages (from-to)805-818
Number of pages14
JournalMathematics of Computation
Volume74
Issue number250
DOIs
Publication statusPublished - Apr 2005

Keywords

  • Conjugate gradient method
  • Continuation methods
  • Large scale problems

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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