Krylov Subspace Methods : Principles and Analysis
Book Details
Format
Paperback / Softback
Book Series
Numerical Mathematics and Scientific Computation
ISBN-10
0198739044
ISBN-13
9780198739043
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 5th, 2015
Print length
408 Pages
Weight
600 grams
Dimensions
23.60 x 15.40 x 2.60 cms
Product Classification:
AlgebraMathematical modellingMaths for scientistsMechanical engineering
Ksh 12,950.00
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Describes the principles and history behind the use of Krylov subspace methods in science and engineering. The outcome of the analysis is very practical and indicates what can and cannot be expected from the use of Krylov subspace methods, challenging some common assumptions and justifications of standard approaches.
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 minimisation properties. 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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