Normal Matrices with Specified Spectrum Moody T. Chu Department of...  Home/Search
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Abstract: The problem of best approximating a given real matrix in the Frobenius norm by real, normal matrices subject to a prescribed spectrum is considered. The approach is based on using the projected gradient method. The projected gradient of the objective function on the manifold of constraints can be formulated explicitly. This gives rise to a descent flow that can be followed numerically. The explicit form also facilitates the computation of the second order optimality condition from which some... (Update)
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BibTeX entry: (Update)
@misc{ with-least,
author = "Normal Matrices With",
title = "Least Squares Approximation by Real",
url = "citeseer.ist.psu.edu/758629.html" }
Citations (may not include all citations):708 Cambridge University Press (context) - Horn, Johnson et al. - 1987
663 Practical Optimization (context) - Gill, Murray et al. - 1981
624 The Algebraic Eigenvalue Problem (context) - Wilkinson - 1965
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72 Geometrical Methods in the Theory of Ordinary Differential E.. (context) - Arnold - 1988
44 Computer Solution of Ordinary Differential Equations (context) - Shampine, Gordon - 1975
27 The variation of the spectrum of a normal matrix (context) - Hoffman, Wielandt - 1953
24 The projected gradient method for least squares matrix appro.. (context) - Chu, Driessel
22 Matrix Theory (context) - Gantmacher - 1959
8 Closest normal matrix finally found (context) - Ruhe - 1987
6 the perturbation of the eigenvalues of a normal matrix (context) - Sun - 1984
5 Isospectral flows and abstract matrix factorizations (context) - Chu, Norris - 1988
4 the perturbation of the eigenvalues of a nondefective matrix (context) - Zhang - 1986
2 Matrix nearest problems and applications (context) - Higham - 1989
2 Normal matrices (context) - Grone, Johnson et al. - 1987
2 Matrizen mit maximaler Diagonale bei unitarer Similaritat (context) - Gabriel - 1979
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