Items related to Convergence of Iterations for Linear Equations (Lectures...
Synopsis
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.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Convergence of Iterations for Linear Equations (Lectures...
Seller Image
Convergence of iterations for linear equations.
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. VII, 177 S. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03513 3764328657 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2489426
Quantity: 1 available
Stock Image
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Apr0316110058693
Quantity: Over 20 available
Seller Image
Convergence of Iterations for Linear Equations
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 6329148-n
Quantity: 15 available
Stock Image
Convergence of Iterations for Linear Equations (Paperback)
Published by
Birkhauser Verlag AG, Basel, 1993
ISBN 10: 3764328657
ISBN 13: 9783764328658
New
Paperback
Seller: Grand Eagle Retail, Mason, OH, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783764328658
Quantity: 1 available
Stock Image
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich)
Seller: Best Price, Torrance, CA, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. SUPER FAST SHIPPING. Seller Inventory # 9783764328658
Quantity: 2 available
Stock Image
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783764328658_new
Quantity: Over 20 available
Seller Image
Convergence of Iterations for Linear Equations
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 6329148
Quantity: 15 available
Stock Image
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Z�rich)
Published by
Birkh�user Basel 2008-10-10, 2008
ISBN 10: 3764328657
ISBN 13: 9783764328658
New
Paperback
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. Seller Inventory # 6666-IUK-9783764328658
Quantity: 10 available
Stock Image
Convergence of Iterations for Linear Equations (Lectures in Mathematics. ETH Zürich)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9783764328658
Quantity: Over 20 available
Seller Image
Convergence of Iterations for Linear Equations
Published by
Springer, Basel, Birkhäuser Basel, Birkhäuser Jun 1993, 1993
ISBN 10: 3764328657
ISBN 13: 9783764328658
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 180 pp. Englisch. Seller Inventory # 9783764328658
Quantity: 2 available