可对称化不定非线性问题的不精确Newton法  

Inexact Newton Method for Symmetrizable Indefinite Nonlinear Problems

作　　者：陈金海[1] 李维国[1] 

机构地区：[1]石油大学数学与计算科学学院,山东东营257061

出　　处：《工程数学学报》2004年第F12期11-16,共6页Chinese Journal of Engineering Mathematics

摘　　要：本文讨论了处理可对称化不定问题的不精确Newton方法,并针对问题的特殊结构提出了不精确Newton-PSMINRES算法。理论分析与数值试验表明,Newton-PSMINRES算法优于其它处理可对称化不定问题的不精确Newton-Krylov算法。Inexact Newton methods for symmetrizable indefinite problems are studied in this paper. Aimed at the special structure of such class of problems, Newton-PSMINRES algorithm is given. Theoritical analysis and numerical computations show that Newton-PSMINRES algorithm has better performance than Newton-Krylov algorithms for symmetrizable indefinite problems.

关 键 词：对称化 NEWTON方法 非线性问题 不精确NEWTON法 算法 数值试验 

分 类 号：O241.7[理学—计算数学] O641[理学—数学]