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Abstract: Two numerical methods --- one continuous and the other discrete --- are proposed for solving inverse singular value problems. The first method consists of solving an ordinary differential equation obtained from an explicit calculation of the projected gradient of a certain objective function. The second method generalizes an iterative process proposed originally by Friedland et al. for solving inverse eigenvalue problems. With the geometry understood from the first method, it is shown that the... (Update)
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BibTeX entry: (Update)
@misc{ singular-numerical,
author = "For Inverse Singular",
title = "Numerical Methods",
url = "citeseer.ist.psu.edu/761073.html" }
Citations (may not include all citations):708 Cambridge University Press (context) - Horn, Johnson et al. - 1985
44 Computer Solution of Ordinary Differential Equations: The In.. (context) - Shampine, Gordon - 1975
39 Springer-Verlag (context) - Curtis, Groups - 1979
32 Stability of Runge-Kutta methods for trajectory problems (context) - Cooper - 1987
31 The formulation and analysis of numerical methods for invers.. (context) - Friedland, Nocedal et al. - 1987
24 The projected gradient method for least squares matrix appro.. (context) - Chu, Driessel - 1990
14 Maintaining Solution Invariants in the Numerical Solution of.. (context) - Gear - 1986
12 Inverse eigenvalue problems (context) - Friedland - 1977
11 Spectral properties of finite Toeplitz matrices (context) - Delsarte, Genin - 1983
8 A numerical approach to the inverse Toeplitz eigenproblem (context) - Laurie - 1988
7 Global homotopies and Newton methods (context) - Keller - 1978
6 Some inverse characteristic value problems (context) - Downing, Householder - 1956
6 Matrix differential equations: A continuous realization proc.. (context) - Chu
4 Solution fields of nonlinear equations and continuation meth.. (context) - Rheinboldt - 1980
2 A survey of inverse eigenvalue problems (context) - Boley, Golub - 1986
1 NEC Research Institute (context) - Gear, methods et al. - 1991
1 A Newton iteration process for inverse eigenvalue problems (context) - Biegler-Konig - 1981
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