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Abstract: Analogous to the pole assignment problem where eigenvalues of a square matrix are relocated, this paper considers the problem of reassigning singular values of a rectangular matrix by additive low rank matrices. Precise and easy-to-check necessary and su#cient conditions under which the problem is solvable are completely characterized, generalizing some traditional singular value inequalities. The constructive proof makes it possible to compute such a solution numerically. Key words. singular... (Update)
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BibTeX entry: (Update)
@misc{ and-singular,
author = "Delin Chu And",
title = "SINGULAR VALUE REASSIGNMENT WITH LOW RANK MATRICES (DRAFT: June 11, 2004)",
url = "citeseer.ist.psu.edu/759073.html" }
Citations (may not include all citations):2441 The Johns Hopkins University Press (context) - Golub, Van Loan - 1996
326 Topics in Matrix Analysis (context) - Horn, Johnson - 1991
306 Inequalities: Theory of Majorization and Its Applications (context) - Marshall, Olkin - 1979
31 Robust pole assignment in linear state feedback (context) - Kautsky, Nichols et al. - 1985
27 A survey of matrix inverse eigenvalue problem (context) - Boley, Golub - 1987
17 The numerically stable reconstruction of Jacobi matrices fro.. (context) - Gragg, Harrod - 1984
13 Structured inverse eigenvalue problems - Chu, Golub - 2002
8 The numerically stable reconstruction of a Jacobi matrix fro.. (context) - de Boor, Golub - 1978
8 Partially specified matrices and operators: classification (context) - Gohberg, Kaashoek et al. - 1995
8 Numerical methods for inverse singular value problems (context) - Chu - 1992
8 the eigenvalues of a matrix with prescribed singular values (context) - Horn - 1954
6 Inequalities between two kinds of eigenvalues of a linear tr.. (context) - Weyl - 1949
5 Perturbation analysis of the pole assignment problem (context) - Sun - 1996
5 diagonal elements (context) - Thompson, values - 1977
4 Pole placement by output feedback (context) - Byrnes - 1989
4 Some results on matrices with prescribed diagonal elements a.. (context) - Sing - 1976
3 On constructing matrices with prescribed singular values and.. (context) - Chu - 1999
3 Matrix Perturbation Theory (context) - Stewrat, Sun - 1990
3 A fast recursive algorithm for constructing matrices with pr.. (context) - Chu - 2000
2 Extreme properties of eigenvalues of a hermitian transformat.. (context) - Amir-Moez - 1955
2 Linear Multivariable Control: A Geometric Control (context) - Wonham - 1985
1 Matrices with prescribed principal elements and singular val.. (context) - de Oliveira - 1971
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