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.
Papers
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Journal ArticleDOI
Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices
Roger A. Horn,Charles R. Johnson +1 more
Journal ArticleDOI
When Does A*A = B*B and Why Does One Want to Know?
Roger A. Horn,Ingram Olkin +1 more
TL;DR: In this article, when does A*A = B*B and why does one want to know? The American Mathematical Monthly: Vol. 103, No. 6, pp. 470-482.
MonographDOI
A Second Course in Linear Algebra
TL;DR: In this paper, the authors present a complete second course in linear algebra, tailored to help students transition from basic theory to advanced topics and applications, including the singular value decomposition, the Jordan canonical form, the spectral theorem, the QR factorization, normal matrices, Hermitian matrices and positive definite matrices.
Journal ArticleDOI
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices
Roger A. Horn,Fuzhen Zhang +1 more
TL;DR: In this paper, it was shown that the spectral radius of the Hadamard product of two square nonnegative matrices is not greater than their spectral radius for positive semidefinite matrices.
Journal ArticleDOI
A characterization of unitary congruence
Yoopyo Hong,Roger A. Horn +1 more
TL;DR: In this article, it was shown that two square complex matrices A and B are unitarily congruent if and only if there is a unitary matrix U of the same size such that A =UBUT.