Extremal quantum states in coupled systems
K. R. Parthasarathy (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “A regularity condition for a class of partitioned matrices”
Extremal quantum states in coupled systems
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Hermitian nonnegative-definite and positive-definite solutions of the matrix equation .
Zhang, Xian (2004)
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Inertias and ranks of some Hermitian matrix functions with applications
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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 the Fischer inequality
Queiró, João Filipe (1983-1984)
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Fermat's Equation in Matrices
Khazanov, Alex (1995)
Serdica Mathematical Journal
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The Fermat equation is solved in integral two by two matrices of determinant one as well as in finite order integral three by three matrices.