The singular values of the hadamard product of a positive semidefinite and a skew-symmetric matrix
- 1 June 1992
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 31 (1-4) , 57-70
- https://doi.org/10.1080/03081089208818122
Abstract
Let σ1(X)≤ · ≤ σN(X)≤0 denote the ordered singular values ofan n × n matrix X and let α1 (X) ≤ α2(X)≤ · ≤ αn(X) denote its ordered main diagonal entries (assuming that they are real). Let B be any complex n × n skew-symmetric matrix and ||.|| any unitarily invariant norm. It is shown that for any rea positive semidefinite n × n matrix A.Keywords
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