Necessary and sufficient conditions for the existence of a Hermitian positive definite solution of a type of nonlinear matrix equations.
Zhao, Wenling, Li, Hongkui, Liu, Xueting, Xu, Fuyi (2009)
Mathematical Problems in Engineering
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Displaying similar documents to “A theorem on Hermitian solutions for related matrix differential and integral equations”
Necessary and sufficient conditions for the existence of a Hermitian positive definite solution of a type of nonlinear matrix equations.
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....
Hermitian nonnegative-definite and positive-definite solutions of the matrix equation .
Zhang, Xian (2004)
Applied Mathematics E-Notes [electronic only]
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-dominant and -recessive matrix solutions for linear quantum systems.
Anderson, D.R., Moats, L.M. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [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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On the Effective Computation of the Inertia of a Non-Hermitian Matrix.
D. Carlson, B.N. Datta (1979)
Numerische Mathematik
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On a theorem of Everitt, Thompson, and de Pillis
Miroslav Fiedler, Thomas L. Markham (1994)
Mathematica Slovaca
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A note on the general Hermitian solution to .
Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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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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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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