Book

Inverse Eigenvalue Problems

Moody Chu and Gene Golub

Published in print June 2005 | ISBN: 9780198566649
Published online September 2007 | e-ISBN: 9780191718021 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780198566649.001.0001

Series: Numerical Mathematics and Scientific Computation

Inverse Eigenvalue Problems

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The basic goal of an inverse eigenvalue problem is to reconstruct the physical parameters of a certain system from the knowledge or desire of its dynamical behavior. Depending on the application, inverse eigenvalue problems appear in many different forms. This book discusses the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems.

Keywords: parameter reconstruction; dynamical behaviour; application; results; mathematical techniques; numerical techniques

Book.  406 pages.  Illustrated.

Subjects: Applied Mathematics

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Table of Contents

INTRODUCTION in Inverse Eigenvalue Problems

Chapter

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APPLICATIONS in Inverse Eigenvalue Problems

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PARAMETERIZED INVERSE EIGENVALUE PROBLEMS in Inverse Eigenvalue Problems

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STRUCTURED INVERSE EIGENVALUE PROBLEMS in Inverse Eigenvalue Problems

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LEAST SQUARES INVERSE EIGENVALUE PROBLEMS in Inverse Eigenvalue Problems

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SPECTRALLY CONSTRAINED APPROXIMATION in Inverse Eigenvalue Problems

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STRUCTURED LOW RANK APPROXIMATION in Inverse Eigenvalue Problems

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GROUP ORBITALLY CONSTRAINED APPROXIMATION in Inverse Eigenvalue Problems

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