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Convergence of Iterations for Linear Equations - Olavi Nevanlinna
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Olavi Nevanlinna:

Convergence of Iterations for Linear Equations - Livro de bolso

1993, ISBN: 3764328657

[EAN: 9783764328658], Neubuch, [PU: Birkhäuser Basel Jun 1993], EVOLUTION; ITERATION; LINEARALGEBRA; MINIMUM; NATURE; OPERATOR; SINGULARITY, This item is printed on demand - it takes 3-4 … mais…

NEW BOOK. Custos de envio: EUR 3.00 BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany [57449362] [Rating: 4 (von 5)]
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Convergence of Iterations for Linear Equations - Olavi Nevanlinna
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Olavi Nevanlinna:

Convergence of Iterations for Linear Equations - Livro de bolso

1993, ISBN: 3764328657

[EAN: 9783764328658], Neubuch, [PU: Birkhäuser Basel], EVOLUTION; ITERATION; LINEARALGEBRA; MINIMUM; NATURE; OPERATOR; SINGULARITY, Druck auf Anfrage Neuware - Printed after ordering - As… mais…

NEW BOOK. Custos de envio:Versandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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Convergence of Iterations for Linear Equations - Olavi Nevanlinna
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Olavi Nevanlinna:
Convergence of Iterations for Linear Equations - Livro de bolso

2001

ISBN: 9783764328658

[ED: Taschenbuch], [PU: Birkhäuser Basel], 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 … mais…

Custos de envio:Versandkostenfrei, Versand nach Deutschland. (EUR 0.00) BuchWeltWeit Inh. Ludwig Meier e.K.
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Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Nevanlinna, Olavi
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Nevanlinna, Olavi:
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Livro de bolso

2008, ISBN: 9783764328658

Birkhäuser Verlag, Taschenbuch, Auflage: 1993, 192 Seiten, Publiziert: 2008-10-10T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: index, references, 0.32 kg, Lexika, Hand- & Jahrbücher, S… mais…

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Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Nevanlinna, Olavi
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Nevanlinna, Olavi:
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Livro de bolso

2008, ISBN: 9783764328658

Birkhäuser Verlag, Taschenbuch, Auflage: 1993, 192 Seiten, Publiziert: 2008-10-10T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: index, references, 0.32 kg, Lexika, Hand- & Jahrbücher, S… mais…

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Pormenores referentes ao livro
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich)

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.

Dados detalhados do livro - Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich)


EAN (ISBN-13): 9783764328658
ISBN (ISBN-10): 3764328657
Livro de capa dura
Livro de bolso
Ano de publicação: 1993
Editor/Editora: Birkhäuser Verlag

Livro na base de dados desde 2007-10-11T03:24:34+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2024-02-21T00:24:55+00:00 (Lisbon)
Número ISBN/EAN: 3764328657

Número ISBN - Ortografia alternativa:
3-7643-2865-7, 978-3-7643-2865-8
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: nevanlinna, nevanlinn
Título do livro: zürich, linear, convergence iterations, eth, equations, 2865


Dados da editora

Autor: Olavi Nevanlinna
Título: Lectures in Mathematics. ETH Zürich; Convergence of Iterations for Linear Equations
Editora: Birkhäuser; Springer Basel
180 Páginas
Ano de publicação: 1993-06-01
Basel; CH
Língua: Inglês
37,40 € (DE)
38,45 € (AT)
47,09 CHF (CH)
Available
VIII, 180 p. 15 illus.

BC; Hardcover, Softcover / Sozialwissenschaften allgemein; Interdisziplinäre Studien; Verstehen; convergence; evolution; iteration; linear algebra; minimum; nature; operator; singularity; Humanities and Social Sciences; EA

1. Motivation, problem and notation.- 1.1 Motivation.- 1.2 Problem formulation.- 1.3 Usual tools.- 1.4 Notation for polynomial acceleration.- 1.5 Minimal error and minimal residual.- 1.6 Approximation of the solution operator.- 1.7 Location of zeros.- 1.8 Heuristics.- Comments to Chapter 1.- 2. Spectrum, resolvent and power boundedness.- 2.1 The spectrum.- 2.2 The resolvent.- 2.3 The spectral mapping theorem.- 2.4 Continuity of the spectrum.- 2.5 Equivalent norms.- 2.6 The Yosida approximation.- 2.7 Power bounded operators.- 2.8 Minimal polynomials and algebraic operators.- 2.9 Quasialgebraic operators.- 2.10 Polynomial numerical hull.- Comments to Chapter 2.- 3. Linear convergence.- 3.1 Preliminaries.- 3.2 Generating functions and asymptotic convergence factors.- 3.3 Optimal reduction factor.- 3.4 Green’s function for G?.- 3.5 Optimal polynomials for.- 3.6 Simply connected G?(L).- 3.7 Stationary recursions.- 3.8 Simple examples.- Comments to Chapter 3.- 4. Sublinear convergence.- 4.1 Introduction.- 4.2 Convergence of Lk(L?1).- 4.3 Splitting into invariant subspaces.- 4.4 Uniform convergence.- 4.5 Nonisolated singularity and successive approximation.- 4.6 Nonisolated singularity and polynomial acceleration.- 4.7 Fractional powers of operators.- 4.8 Convergence of iterates.- 4.9 Convergence with speed.- Comments to Chapter 4.- 5. Superlinear convergence.- 5.1 What is superlinear.- 5.2 Introductory examples.- 5.3 Order and type.- 5.4 Finite termination.- 5.5 Lower and upper bounds for optimal polynomials.- 5.6 Infinite products.- 5.7 Almost algebraic operators.- 5.8 Estimates using singular values.- 5.9 Multiple clusters.- 5.10 Approximation with algebraic operators.- 5.11 Locally superlinear implies superlinear.- Comments to Chapter 5.- References.- Definitions.

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