Methods for Solving Systems of Nonlinear Equations: Second Edition
Methods for Solving Systems of Nonlinear Equations: Second Edition
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DOI：
10.1137/1.9781611970012
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
W. Rheinboldt
中科院分区：
文献类型：
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作者：
W. Rheinboldt
这第二版提供了急需的更新，以原来的卷。与第一版一样，它强调算法背后的思想以及它们的理论基础和性质，而不是严格关注计算细节;同时，这个新版本现在基本上是独立的，包括必要的证明。增加了几乎每一章，包括介绍理论的不精确牛顿方法，基本理论的延续方法的设置微分流形，并扩大讨论的最小化方法。关于参数化方程和延续的新信息结合了自第一版以来的研究。
This second edition provides much-needed updates to the original volume. Like the first edition, it emphasizes the ideas behind the algorithms as well as their theoretical foundations and properties, rather than focusing strictly on computational details; at the same time, this new version is now largely selfcontained and includes essential proofs. Additions have been made to almost every chapter, including an introduction to the theory of inexact Newton methods, a basic theory of continuation methods in the setting of differentiable manifolds, and an expanded discussion of minimization methods. New information on parametlized equations and continuation incorporates research since the first edition.