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Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Olavi Nevanlinna
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Olavi Nevanlinna:
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Taschenbuch

2008, ISBN: 3764328657

[SR: 3576495], Paperback, [EAN: 9783764328658], Birkhäuser Basel, Birkhäuser Basel, Book, [PU: Birkhäuser Basel], 2008-10-10, Birkhäuser Basel, Discussing the convergence of Krylov subspace methods for solving fixed point problems, this work 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 interation might typically start with a fast but slowing phase. Such a behaviour 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 differential mathematical mechanisms which the book outlines. Its aim is to understand 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., 278337, Calculus & Mathematical Analysis, 278339, Complex Analysis, 278340, Differential Equations, 278342, Functional Analysis, 278346, Real Analysis, 278347, Vector & Tensor Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 923006, Higher Education, 922526, Education, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922988, Teaching Aids, 922526, Education, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278385, Probability & Statistics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570878, Statistics & Probability, 570874, Applied Mathematics, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Olavi Nevanlinna
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Olavi Nevanlinna:
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Taschenbuch

ISBN: 3764328657

[SR: 11329568], Paperback, [EAN: 9783764328658], Birkhäuser, Birkhäuser, Book, [PU: Birkhäuser], Birkhäuser, 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., 13884, Mathematics, 226699, Applied, 226700, Geometry & Topology, 13942, History, 13944, Infinity, 13955, Mathematical Analysis, 13957, Matrices, 13961, Number Systems, 13965, Popular & Elementary, 226698, Pure Mathematics, 13979, Reference, 13981, Research, 13985, Study & Teaching, 13989, Transformations, 13991, Trigonometry, 75, Science & Math, 1000, Subjects, 283155, Books, 468218, Mathematics, 491542, Algebra & Trigonometry, 491544, Calculus, 491546, Geometry, 491548, Statistics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Olavi Nevanlinna
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Olavi Nevanlinna:
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich) - Taschenbuch

ISBN: 3764328657

[SR: 834255], Taschenbuch, [EAN: 9783764328658], Birkhäuser Verlag, Birkhäuser Verlag, Book, [PU: Birkhäuser Verlag], Birkhäuser Verlag, 56214011, Mathematik, 1320308031, Abbildungen, 56248011, Angewandte Mathematik, 1320307031, Forschung, 56263011, Geometrie & Topologie, 56212011, Geschichte, 56227011, Lernen & Lehren, 56217011, Mathematische Analyse, 56272011, Mathematische Physik, 56218011, Matrizen, 56219011, Messung, 56225011, Nachschlagewerke, 56221011, Populär & Elementar, 56230011, Reine Mathematik, 1320309031, Trigonometrie, 56216011, Unendlichkeit, 56220011, Zahlensysteme, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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ISBN: 9783764328658

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Convergence of Iterations for Linear Equations ab 37.49 EURO Auflage 1993 Convergence of Iterations for Linear Equations ab 37.49 EURO Auflage 1993 Bücher > English, International > Gebundene Ausgaben, [PU: Birkenhäuser Verlag, Basel/Boston/Stuttgart]

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Convergence of Iterations for Linear Equations - Nevanlinna, Olavi
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Convergence of Iterations for Linear Equations - neues Buch

1993, ISBN: 3764328657

ID: A477650

1993 Kartoniert / Broschiert evolution; Iteration; linear algebra; Minimum; Nature; operator; Singularity, mit Schutzumschlag neu, [PU:Birkhäuser Basel; Springer Basel]

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Details zum Buch
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich (closed))

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.

Detailangaben zum Buch - Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich (closed))


EAN (ISBN-13): 9783764328658
ISBN (ISBN-10): 3764328657
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1993
Herausgeber: Springer Basel

Buch in der Datenbank seit 11.10.2007 04:24:34
Buch zuletzt gefunden am 23.03.2018 17:23:24
ISBN/EAN: 3764328657

ISBN - alternative Schreibweisen:
3-7643-2865-7, 978-3-7643-2865-8


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