Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms Tapa blanda - 2011 - 2011th Edición
de Peter Deuflhard
Descripción de contraportada
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.
Detalles
- Título Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
- Autor Peter Deuflhard
- Encuadernación Tapa blanda
- Número de edición 2011th
- Edición 2011
- Páginas 424
- Volúmenes 1
- Idioma ENG
- Editorial Springer
- Fecha de publicación 2011-09-16
- Ilustrado Sí
- Features Illustrated
- ISBN 9783642238987 / 364223898X
- Peso 1.35 libras (0.61 kg)
- Dimensiones 9.1 x 6.1 x 0.9 pulgadas (23.11 x 15.49 x 2.29 cm)
- Dewey Decimal Code 510.285
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Newton Methods for Nonlinear Problems : Affine Invariance and Adaptive Algorithms
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