The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems (Classic Reprint) - Hardcover

S. Friedland

9780656185153: The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems (Classic Reprint)

Hardcover

ISBN 10: 0656185155 ISBN 13: 9780656185153

Publisher: Forgotten Books, 2018

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Excerpt from The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems

Both the additive and multiplicative inverse eigenvalue problems were posed by Down ing and Householder In practical applications of the inverse sturm-liouville and inverse vibrating string problems, only a few of the smallest eigenvalues may be given. In order for the problem to be well-posed, the number of parameters must be reduced accordingly. This can be done by expressing the potential or density function as a linear combination of a few given basis functions. See Osborne (1971) and Hald (1972) for details.

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