Newton Methods for Nonlinear Problems Affine Invariance and Adaptive Algorithms
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- Hardcover
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Sprache:Englisch
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Auflage:Softcover reprint of hardcover 1st ed. 2004
Fr. 149.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
01.12.2010
Abbildungen
XII, 424 p. 48 illus.
Verlag
Springer BerlinSeitenzahl
424
Maße (L/B/H)
23.5/15.5/2.4 cm
Gewicht
663 g
Auflage
Softcover reprint of hardcover 1st ed. 2004
Sprache
Englisch
ISBN
978-3-642-05927-8
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.
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