Some inequalities for sums of nonnegative definite matrices in quaternions.
Tian, Yongge, Styan, George P.H. (2005)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “A stronger version of matrix convexity as applied to functions of Hermitian matrices.”
Some inequalities for sums of nonnegative definite matrices in quaternions.
Canonical forms for doubly structured matrices and pencils.
Mehl, Christian, Mehrmann, Volker, Xu, Hongguo (2000)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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A theorem on Hermitian solutions for related matrix differential and integral equations
Sternberg, Robert L. (1953)
Portugaliae mathematica
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Bounds of matrices with regard to an hermitian metric
Werner Gautschi (1954-1956)
Compositio Mathematica
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Inertias and ranks of some Hermitian matrix functions with applications
Xiang Zhang, Qing-Wen Wang, Xin Liu (2012)
Open Mathematics
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Let S be a given set consisting of some Hermitian matrices with the same size. We say that a matrix A ∈ S is maximal if A − W is positive semidefinite for every matrix W ∈ S. In this paper, we consider the maximal and minimal inertias and ranks of the Hermitian matrix function f(X,Y) = P − QXQ* − TYT*, where * means the conjugate and transpose of a matrix, P = P*, Q, T are known matrices and for X and Y Hermitian solutions to the consistent matrix equations AX =B and YC = D respectively....
On a theorem of Everitt, Thompson, and de Pillis
Miroslav Fiedler, Thomas L. Markham (1994)
Mathematica Slovaca
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H-normal matrices
Lee, Anna (1985-1986)
Portugaliae mathematica
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New results for EP matrices in indefinite inner product spaces
Ivana M. Radojević (2014)
Czechoslovak Mathematical Journal
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In this paper we study -EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and -EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by...