Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms: 35 (Springer Series in Computational Mathematics, 35) - Image 1

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Springer Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms: 35 (Springer Series in Computational Mathematics, 35)

Name: Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms: 35 (Springer Series in Computational Mathematics, 35)
Brand: Springer
Price: 80.65 GBP
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Computer Science

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This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3642059279
Category: Books > Subjects > Computing & Internet > Computer Science
Domain: Amazon UK
Release Date: 01 December 2010
Listed Since: 20 September 2010

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Springer Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms: 35 (Springer Series in Computational Mathematics, 35)

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