A smoothing conjugate gradient method for solving systems of nonsmooth equations

研究成果: Article査読

6 被引用数 (Scopus)

抄録

Many problems in real world are reduced to systems of nonsmooth equations and hence many researchers study numerical methods for solving systems of nonsmooth equations. As numerical methods for solving systems of nonsmooth equations, Newton-like methods are known as efficient numerical methods. However, these methods are not necessarily applied directly to large-scale problems, because these methods need to store matrices. In this paper, we propose a smoothing method which is based on the nonlinear conjugate gradient method and does not store any matrices for solving systems of nonsmooth equations. In addition, we prove the global convergence property of the proposed method under standard assumptions. Finally, we give some preliminary numerical results.

本文言語English
ページ(範囲)8646-8655
ページ数10
ジャーナルApplied Mathematics and Computation
219
16
DOI
出版ステータスPublished - 2013
外部発表はい

ASJC Scopus subject areas

  • 計算数学
  • 応用数学

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