Inverse eigenvalue problems : theory, algorithms, and applications
著者
書誌事項
Inverse eigenvalue problems : theory, algorithms, and applications
(Numerical mathematics and scientific computation)(Oxford science publications)
Oxford University Press, 2005
- hbk.
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注記
Includes bibliographical references (p. 359-380) and index
内容説明・目次
内容説明
Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions-the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open
problems.
This is the first book in the authoritative Numerical Mathematics and Scientific Computation series to cover numerical linear algebra, a broad area of numerical analysis. Authored by two world-renowned researchers, the book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.
目次
- Preface
- 1. Introduction
- 2. Applications
- 3. Parameterized Inverse Eigenvalue Problems
- 4. Structured Inverse Eigenvalue Problems
- 5. Partially Described Inverse Eigenvalue Problems
- 6. Least Squares Inverse Eigenvalue Problems
- 7. Spectrally Constrained Approximation
- 8. Structured Low Rank Approximation
- 9. Group Orbitally Constrained Approximation
- Index
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