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Newton Methods for Nonlinear Problems

Name: Newton Methods for Nonlinear Problems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 05273717
Price: 43696 HUF
Availability: InStock
Author: Peter Deuflhard
ISBN: 9783540210993

Affine Invariance and Adaptive Alorithms

Peter Deuflhard

Language

English

Book Hardback

Libristo code: 05273717

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, April 2004

This book deals with the efficient numerical solution of challenging nonlinear problems in science a... Full description

Libristo code: 05273717

298 b

43 696 Ft

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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.