Convergence of Iterations for Linear Equations
Language: English
Published by Birkhäuser, Birkhäuser Jun 1993, 1993
- Softcover
- New
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000
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Condition: New
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Add to basketItem description from seller
This item is printed on demand - Print on Demand Titel. Neuware -Assume that after preconditioning we are given a fixed point problem x = Lx + f (\*) where L is a bounded linear operator which is not assumed to be symmetric and f is a given vector. The book discusses the convergence of Krylov subspace methods for solving fixed point problems (\*), and focuses on the dynamical aspects of the iteration processes. For example, there are many similarities between the evolution of a Krylov subspace process and that of linear operator semigroups, in particular in the beginning of the iteration. A lifespan of an iteration might typically start with a fast but slowing phase. Such a behavior is sublinear in nature, and is essentially independent of whether the problem is singular or not. Then, for nonsingular problems, the iteration might run with a linear speed before a possible superlinear phase. All these phases are based on different mathematical mechanisms which the book outlines. The goal is to know how to precondition effectively, both in the case of 'numerical linear algebra' (where one usually thinks of first fixing a finite dimensional problem to be solved) and in function spaces where the 'preconditioning' corresponds to software which approximately solves the original problem.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 192 pp. Englisch.…
Seller Inventory # 9783764328658
- Title
- Convergence of Iterations for Linear Equations
- Author
- Olavi Nevanlinna
- Publisher
- Birkhäuser, Birkhäuser Jun 1993
- Publication year
- 1993
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3764328657
- ISBN 13
- 9783764328658
- Item weight
- 342 grams
- Dimensions
- 244x170x11 mm
"Synopsis" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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