Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms Paperback - 2010
by Peter Deuflhard
From the rear cover
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.
Details
- Title Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
- Author Peter Deuflhard
- Binding Paperback
- Pages 424
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2010
- Illustrated Yes
- Features Illustrated
- ISBN 9783642059278 / 3642059279
- Dewey Decimal Code 510.285
About the author
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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms (Springer Series in Computational Mathematics)
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