Krylov Subspace Methods: Principles and Analysis

Paperback | April 5, 2015

byJorg Liesen, Zdenek Strakos

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The mathematical theory of Krylov subspace methods with a focus on solving systems of linear algebraic equations is given a detailed treatment in this principles-based book. Starting from the idea of projections, Krylov subspace methods are characterised by their orthogonality and minimisationproperties. Projections onto highly nonlinear Krylov subspaces can be linked with the underlying problem of moments, and therefore Krylov subspace methods can be viewed as matching moments model.

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The mathematical theory of Krylov subspace methods with a focus on solving systems of linear algebraic equations is given a detailed treatment in this principles-based book. Starting from the idea of projections, Krylov subspace methods are characterised by their orthogonality and minimisationproperties. Projections onto highly nonline...

Jorg Liesen is a professor of Numerical Mathematics at the TU Berlin, Germany. He received his Ph.D. in Mathematics from the University of Bielefeld under the supervision of Ludwig Elsner, and the Habilitation in Mathematics at the TU Berlin. During his professional career he spent two years at the University of Illinois at Urbana-Cha...

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Format:PaperbackDimensions:408 pages, 9.21 × 6.14 × 0.81 inPublished:April 5, 2015Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198739044

ISBN - 13:9780198739043

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Table of Contents

1. Introduction2. Krylov subspace methods3. Matching moments and model reduction view4. Short recurrences for generating orthogonal Krylov subspace bases5. Cost of computations using Krylov subspace methods