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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
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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.
出处 《工程数学学报》 CSCD 北大核心 2004年第F12期11-16,共6页 Chinese Journal of Engineering Mathematics
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 inexact Newton method Newton-Krylov algorithm Newton-PSMINRES algorithm sym-metrizable indefinite problem
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参考文献9

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