Results 1 to 10 of about 2,100,417 (234)
Pentagon equation and matrix bialgebras [PDF]
Communications in Algebra, 2000 We classify coproducts on matrix algebra in terms of solutions to some modification of pentagon equation. The construction of Baaj and Skandalis describing finite dimensional unitary solutions of pentagon equation is extended to the non-unitary case.
Davydov, A.
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On matrix equivalence and matrix equations
Linear Algebra and its Applications, 1979 AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matrices with coefficients from a division ring or a ring which is module-finite over its center.
William H. Gustafson, J. M. Zelmanowitz
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A New Solution to the Matrix Equation X−AX¯B=C [PDF]
The Scientific World Journal, 2014 We investigate the matrix equation X−AX¯B=C. For convenience, the matrix equation X−AX¯B=C is named as Kalman-Yakubovich-conjugate matrix equation. The explicit solution is constructed when the above matrix equation has unique solution. And this solution
Caiqin Song
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Matrix quadratic equations [PDF]
Bulletin of the Australian Mathematical Society, 1974 Matrix quadratic equations have found the most diverse applications. The present article gives a connected account of their theory, and contains some new results and new proofs of known results.
W. A. Coppel
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On a class of matrix equations [PDF]
Pacific Journal of Mathematics, 1967 Robert C. Thompson
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Bulletin of the American Mathematical Society, 1972 J. S. Montague, Robert J. Plemmons
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AIMS Mathematics, 2022 In this paper, we consider the common Re-nonnegative definite (Re-nnd) and Re-positive definite (Re-pd) solutions to a pair of linear matrix equations $ A_1XA_1^\ast = C_1, \ A_2XA_2^\ast = C_2 $ and present some necessary and sufficient conditions for ...
Yinlan Chen, Lina Liu
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On spectral numerical method for variable-order partial differential equations
AIMS Mathematics, 2022 In this research article, we develop a powerful algorithm for numerical solutions to variable-order partial differential equations (PDEs). For the said method, we utilize properties of shifted Legendre polynomials to establish some operational matrices ...
Kamal Shah +3 more
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AIMS Mathematics, 2022 In this paper, we propose an efficient method for some special solutions of the quaternion matrix equation AXB+CYD=E. By integrating real representation of a quaternion matrix with H-representation, we investigate the minimal norm least squares solution ...
Anli Wei +3 more
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Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space
Mathematics, 2023 The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems.
Dijana Mosić +2 more
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