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Item Details
Title:
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PERTURBATION THEORY FOR MATRIX EQUATIONS
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Volume: |
Volume 9 |
By: |
M. Konstantinov, Gu D. Wei, Volker Mehrmann |
Format: |
Hardback |

List price:
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£163.00 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
0444513159 |
ISBN 13: |
9780444513151 |
Publisher: |
ELSEVIER SCIENCE & TECHNOLOGY |
Pub. date: |
1 May, 2003 |
Series: |
Studies in Computational Mathematics |
Pages: |
442 |
Description: |
Devotes to the perturbation analysis of matrix equations. This book presents the general perturbation theory for matrix algebraic equations. It includes examples, tables and figures in order to illustrate the perturbation techniques and bounds. It contains the results that can be used in the development of reliable computational algorithms. |
Synopsis: |
The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis.In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds.Key features:* The first book in this field * Can be used by a variety of specialists * Material is self-contained * Results can be used in the development of reliable computational algorithms * A large number of examples and graphical illustrations are given * Written by prominent specialists in the field |
Publication: |
UK |
Imprint: |
JAI Press Inc. |
Returns: |
Non-returnable |
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