Bounds of matrices with regard to an hermitian metric
Werner Gautschi (1954-1956)
Compositio Mathematica
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Displaying similar documents to “Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order”
Bounds of matrices with regard to an hermitian metric
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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A stronger version of matrix convexity as applied to functions of Hermitian matrices.
Kagan, Abram, Smith, Paul J. (1999)
Journal of Inequalities and Applications [electronic only]
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Inequalities on the singular values of an off-diagonal block of a Hermitian matrix.
Li, Chi-Kwong, Mathias, Roy (1999)
Journal of Inequalities and Applications [electronic only]
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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 matrix convexity of the Moore-Penrose inverse.
Mond, B., Pečarić, J.E. (1996)
International Journal of Mathematics and Mathematical Sciences
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A matrix inequality
Russell C. Thompson (1976)
Commentationes Mathematicae Universitatis Carolinae
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