Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms Hardcover - 2004
by Peter Deuflhard
First line
This chapter is an elementary introduction into the general theme of this book.
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 Hardcover
- Edition U.S. Edition
- Pages 424
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2004-04-26
- Illustrated Yes
- Features Illustrated
- ISBN 9783540210993 / 3540210997
- Weight 1.74 lbs (0.79 kg)
- Dimensions 9.21 x 6.14 x 1 in (23.39 x 15.60 x 2.54 cm)
- Library of Congress Catalog Number 2004102666
- Dewey Decimal Code 510.285
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