Solution of linear matrix equations in a *congruence class.
Horn, Roger A., Sergeichuk, Vladimir V., Shaked-Monderer, Naomi (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Horn, Roger A., Sergeichuk, Vladimir V., Shaked-Monderer, Naomi (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Tian, Yongge (2010)
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ELA. The Electronic Journal of Linear Algebra [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....
Davies, Philip I. (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Ben-Israel, Adi (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Yao, Guozhu, Liao, Anping, Duan, Xuefeng (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Cao, Chong-Guang, Zhang, Xian, Yang, Zhong-Peng (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Drury, S.W. (2006)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Zhang, Xian (2004)
Applied Mathematics E-Notes [electronic only]
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