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

Convergence of Iterations for Linear Equations - Pasta blanda

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 … Más…

NEW BOOK. Gastos de envío: 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 - Pasta blanda

1993, ISBN: 3764328657

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

NEW BOOK. Gastos de envío: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 - Pasta blanda

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 … Más…

Gastos de envío: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) - Pasta blanda

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… Más…

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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) - Pasta blanda

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… Más…

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Detalles del libro
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.

Detalles del libro - Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich)


EAN (ISBN-13): 9783764328658
ISBN (ISBN-10): 3764328657
Tapa dura
Tapa blanda
Año de publicación: 1993
Editorial: Birkhäuser Verlag

Libro en la base de datos desde 2007-10-10T21:24:34-05:00 (Mexico City)
Página de detalles modificada por última vez el 2024-02-20T18:24:55-06:00 (Mexico City)
ISBN/EAN: 3764328657

ISBN - escritura alterna:
3-7643-2865-7, 978-3-7643-2865-8
Mode alterno de escritura y términos de búsqueda relacionados:
Autor del libro: nevanlinna, nevanlinn
Título del libro: zürich, linear, convergence iterations, eth, equations, 2865


Datos del la editorial

Autor: Olavi Nevanlinna
Título: Lectures in Mathematics. ETH Zürich; Convergence of Iterations for Linear Equations
Editorial: Birkhäuser; Springer Basel
180 Páginas
Año de publicación: 1993-06-01
Basel; CH
Idioma: Inglés
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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