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Inverse Eigenvalue ProblemsTheory, Algorithms, and Applications$
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Moody Chu and Gene Golub

Print publication date: 2005

Print ISBN-13: 9780198566649

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198566649.001.0001

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PARTIALLY DESCRIBED INVERSE EIGENVALUE PROBLEMS

PARTIALLY DESCRIBED INVERSE EIGENVALUE PROBLEMS

Chapter:
(p.146) 5 PARTIALLY DESCRIBED INVERSE EIGENVALUE PROBLEMS
Source:
Inverse Eigenvalue Problems
Author(s):

Moody T. Chu

Gene H. Golub

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198566649.003.0005

In practice, it is often the case that only partial information on eigenvalues and eigenvectors is available. In many cases, just a few eigenpairs can determine much of the desirable reconstruction. This chapter illustrates this point by concentrating on the Toeplitz structure and the self-adjoint quadratic pencils. The possibility of model updating or tuning applications is discussed.

Keywords:   partially prescribed eigeninformation, Toeplitz matrix, self-adjoint quadratic pencil, model updating

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