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Field name	Details
Dewey Class	518
Title	Newton Methods for Nonlinear Problems ([Ebook]) : Affine Invariance and Adaptive Algorithms / by Peter Deuflhard.
Author	Deuflhard, Peter
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2011.
Physical Details	XII, 424 pages:. 49 illus. : online resource.
Series	Springer Series in Computational Mathematics 0179-3632 ; ; 35
ISBN	9783642238994
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-23899-4
Links to Related Works	Subject References: Appl.Mathematics/Computational Methods of Engineering . Computational Mathematics and Numerical Analysis . Computational Science and Engineering . Engineering mathematics . Math Applications in Computer Science . Mathematical optimization . Mathematics . Optimization . Ordinary differential equations . Authors: Deuflhard, Peter . Corporate Authors: SpringerLink (Online service) . Series: Springer Series in Computational Mathematics . Classification: 518 . 518 (DDC 23) .

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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms

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