Perturbation Theory for Matrix Equations

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Perturbation Theory for Matrix Equations by M. Konstantinov, D. Wei Gu, V. Mehrmann, P. Petkov, Elsevier Science
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Author: M. Konstantinov, D. Wei Gu, V. Mehrmann, P. Petkov ISBN: 9780080538679
Publisher: Elsevier Science Publication: May 20, 2003
Imprint: JAI Press Language: English
Author: M. Konstantinov, D. Wei Gu, V. Mehrmann, P. Petkov
ISBN: 9780080538679
Publisher: Elsevier Science
Publication: May 20, 2003
Imprint: JAI Press
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

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