NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (9): 1172-1180 .

NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS

孟泽红, 张建军

收稿日期:2003-07-12 修回日期:2005-05-08 出版日期:2005-09-18 发布日期:2005-09-18
通讯作者: 张建军

NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS

MENG Ze-hong, ZHANG Jian-jun

Department of Mathematics, Shanghai University, Shanghai 200444, P.R.China

Received:2003-07-12 Revised:2005-05-08 Online:2005-09-18 Published:2005-09-18
Contact: ZHANG Jian-jun

摘要/Abstract

Abstract: Newton-FOM (Full Orthogonalization Method) algorithm and Newton-GMRES (Generalized Minimum Residual Method) algorithm for solving nonsmooth equations are presented. It is proved that these Krylov subspace algorithms have the locally quadratic convergence.Numerical experiments demonstrate the effectiveness of the algorithms.

Key words: nonsmooth equations, Newton-GMRES algorithm, Newton-FOM algorithm

中图分类号:

O241.7
65H10

孟泽红;张建军. NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(9): 1172-1180 .

MENG Ze-hong;ZHANG Jian-jun. NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(9): 1172-1180 .

NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS

NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价