Changes in signature induced by the Lyapunov mapping .
Haynes, Tyler (1989)
International Journal of Mathematics and Mathematical Sciences
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Haynes, Tyler (1989)
International Journal of Mathematics and Mathematical Sciences
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Merikoski, Jorma K., Liu, Xiaoji (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhang, Xian (2004)
Applied Mathematics E-Notes [electronic only]
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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....
Ar. Meenakshi (1989)
Czechoslovak Mathematical Journal
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Tian, Yongge, Styan, George P.H. (2005)
Journal of Inequalities and Applications [electronic only]
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Zeng, Renying (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Lee, Anna (1985-1986)
Portugaliae mathematica
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Zhan, Shilin (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhour, Zeyad Al, Kilicman, Adem (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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