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Perturbation theory for matrix equations
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 pertu...
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| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
Amsterdam ; Boston :
Elsevier,
2003.
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| Edition: | 1st ed. |
| Series: | Studies in computational mathematics ;
9. |
| Physical Description: |
1 online resource (xii, 429 pages) : illustrations. |
| Subjects: | |
| Online Access: | Elsevier - Click here for access |
| Summary: | 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. |
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| Language Note: |
English. |
| Physical Description: |
1 online resource (xii, 429 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780444513151 0444513159 0080538673 9780080538679 1281048720 9781281048721 9786611048723 6611048723 |
| ISSN: | 1570-579X ; |