Singular Values And Diagonal Elements Moody T. Chu  Home/Search
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Abstract: Similar to the well known Schur-Horn theorem that characterizes the relationship between the diagonal entries and the eigenvalues of a Hermitian matrix, the Sing-Thompson theorem characterizes the relationship between the diagonal entries and the singular values of an arbitrary matrix. It is noted in this paper that, based on the induction principle, such a matrix can be constructed numerically by a fast recursive algorithm, provided that the given singular values and diagonal elements satisfy... (Update)
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BibTeX entry: (Update)
@misc{ and-constructing,
author = "Singular Values And",
title = "On Constructing Matrices With Prescribed",
url = "citeseer.ist.psu.edu/758507.html" }
Citations (may not include all citations):708 Cambridge University Press (context) - Horn, Johnson et al. - 1991
306 Inequalities: Theory of Majorization and Its Applications (context) - Marshall, Olkin - 1979
9 A note on constructing a symmetric matrix with specified dia.. (context) - Zha, Zhang - 1995
8 Constructing a Hermitian matrix from its diagonal entries an.. (context) - Chu - 1995
8 Doubly stochastic matrices and the diagonal of a rotation ma.. (context) - Horn - 1956
5 diagonal elements (context) - Thompson, values - 1977
4 Some results on matrices with prescribed diagonal elements a.. (context) - Sing - 1976
3 a and R. C. Thompson, Group majorization, the convex hulls o.. (context) - Mirand - 1994
2 Inequalities and existence theorems in the theory of matrice.. (context) - Mirsky - 1964
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