R
Roger A. Horn
Researcher at University of Utah
Publications - 116
Citations - 43480
Roger A. Horn is an academic researcher from University of Utah. The author has contributed to research in topics: Matrix (mathematics) & Canonical form. The author has an hindex of 32, co-authored 116 publications receiving 41610 citations. Previous affiliations of Roger A. Horn include Johns Hopkins University & Stanford University.
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Journal ArticleDOI
Eigenvalue inequalities and equalities
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.
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A regularization algorithm for matrices of bilinear and sesquilinear forms
TL;DR: In this paper, a regularization algorithm that uses only elementary row operations to construct such a decomposition is presented. But it is only applicable to real orthogonal transformations and a reduced form that can be achieved via a unitary *congruence or congruence.
Journal ArticleDOI
A General Setting for the Parametric Google Matrix
TL;DR: A complex analog of PageRank is obtained for the web hyperlink matrix G(c) with a complex parameter c with regularity, limits, expansions, and conditioning of y(c), and a complex extrapolation algorithm is proposed that may provide an efficient way to compute PageRank.
Book ChapterDOI
Matrix Analysis: Preface to the Second Edition
Roger A. Horn,Charles R. Johnson +1 more
Journal ArticleDOI
Inequalities for unitarily invariant norms and bilinear matrix products
TL;DR: In this article, the authors give several criteria that are equivalent to the basic singular value majorization inequality (1.1) that is common to both the usual and Hadamard products.