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Inverse Eigenvalue problems : theory, algorithms, and applications

Author: Moody Chu; Gene H Golub
Publisher: Oxford : Oxford University Press, 2005.
Series: Numerical mathematics and scientific computation.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"The basic goal of inverse eigenvalue problems is to reconstruct the physical parameters for a certain system from the knowledge or characteristics of its dynamical behaviour, and such reconstructions are required in a remarkable variety of applications. Associated with any inverse eigenvalue problem are two fundamental questions - the theoretic issue on solvability and the practical issue on computability. Both  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Moody Chu; Gene H Golub
ISBN: 9780198566649 0198566646
OCLC Number: 59877517
Description: xvii, 387 p. : ill. ; 24 cm.
Contents: 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.
Series Title: Numerical mathematics and scientific computation.
Responsibility: Moody T. Chu and Gene H. Golub.
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Abstract:

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  Read more...

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A valuable tool for postgraduates, engineers and mathematicians in the area. Amin Boumenir, Zentralblatt MATH, Vol 1075 The book collects together much material not previosly available in book form Read more...

 
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schema:reviewBody""The basic goal of inverse eigenvalue problems is to reconstruct the physical parameters for a certain system from the knowledge or characteristics of its dynamical behaviour, and such reconstructions are required in a remarkable variety of applications. Associated with any inverse eigenvalue problem are two fundamental questions - the theoretic issue on solvability and the practical issue on 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."--BOOK JACKET."
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