Numerical Methods for General and Structured Eigenvalue Problems

Language: English

Published by Springer, Berlin, Springer, 2005

3540245464 / 9783540245469

Series: Book 18 of 111 - Lecture Notes in Computational Science and Engineering

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigenvalues of a square matrix A are the roots of its characteristic polynomial det(A I). An invariant subspace is a linear subspace that stays invariant under the action of A. In realistic applications, it usually takes a long process of simpli cations, linearizations and discreti- tions before one comes up with the problem of computing the eigenvalues of a matrix. In some cases, the eigenvalues have an intrinsic meaning, e.g., for the expected long-time behavior of a dynamical system; in others they are just meaningless intermediate values of a computational method. The same applies to invariant subspaces, which for example can describe sets of initial states for which a dynamical system produces exponentially decaying states. Computing eigenvalues has a long history, dating back to at least 1846 when Jacobi [172] wrote his famous paper on solving symmetric eigenvalue problems. Detailed historical accounts of this subject can be found in two papers by Golub and van der Vorst [140, 327].

Seller Inventory # 9783540245469

Title
Numerical Methods for General and Structured Eigenvalue Problems
Author
Daniel Kressner
Publisher
Springer, Berlin, Springer
Publication year
2005
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540245464
ISBN 13
9783540245469
Item weight
430 grams
Dimensions
235x155x15 mm
Series
Book 18 of 111: Lecture Notes in Computational Science and Engineering

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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