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Showing papers by "Roger A. Horn published in 1998"

Journal Article•DOI•
Eigenvalue inequalities and equalities

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Roger A. Horn1, Noah H. Rhee2, So Wasin3•
University of Utah1, University of Missouri–Kansas City2, Sam Houston State University3
01 Feb 1998-Linear Algebra and its Applications
TL;DR: In this article, the authors considered cases of equality in three basic inequalities for eigenvalues of Hermitian matrices: Cauchy's interlacing inequalities for principal submatrices, Weyl's inequalities for sums, and the residual theorem.

38 citations

Journal Article•DOI•
Two applications of a bound on the Hadamard product with a Cauchy matrix

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Roger A. Horn1, Fuad Kittaneh2•
University of Utah1, University of Jordan2
01 Jan 1998-Electronic Journal of Linear Algebra
TL;DR: In this paper, the Hadamard multiplier operator of Cauchy t ype was shown to have a general perturbation bound on the positive semideenite factor.
Abstract: A fundamental bound for a Hadamard multiplier operator of Cauchy t ype implies a known bound on the inverse of the operator T : X ! AX ,XBas well as a general perturbation bound involving the unitary factor in the polar decomposition; the latter bound leads to a perturbation bound on the positive semideenite factor.

9 citations