On solutions of a matrix equations system AX = B, XD = E
M. Haverić (1984)
Matematički Vesnik
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Displaying similar documents to “Matrix identities involving multiplication and transposition”
On solutions of a matrix equations system AX = B, XD = E
Riccati matrix differential equation and the discrete order preserving property
Viera Štoudková Růžičková (2023)
Archivum Mathematicum
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In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential equation.
A note on the matrix Haffian.
Heinz Neudecker (2000)
Qüestiió
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This note contains a transparent presentation of the matrix Haffian. A basic theorem links this matrix and the differential ofthe matrix function under investigation, viz ∇F(X) and dF(X). Frequent use is being made of matrix derivatives as developed by Magnus and Neudecker.
The matrix equation and related problems.
Al'pin, Yu.A., Ilyin, S.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Note on Some Mercerian Theorems
Branislav Martić (1984)
Publications de l'Institut Mathématique
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On some Generalized Inverses of Matrices and some Linear Matrix Equations
Jovan D. Kečkić (1989)
Publications de l'Institut Mathématique
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Lappo-Danilevskij systems and their place among linear systems.
Mazanik, S.A. (1998)
Memoirs on Differential Equations and Mathematical Physics
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On polynomial matrices.
Meenakshi, Ar., Anandam, N. (1992)
International Journal of Mathematics and Mathematical Sciences
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Sufficient conditions to be exceptional
Charles R. Johnson, Robert B. Reams (2016)
Special Matrices
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A copositive matrix A is said to be exceptional if it is not the sum of a positive semidefinite matrix and a nonnegative matrix. We show that with certain assumptions on A−1, especially on the diagonal entries, we can guarantee that a copositive matrix A is exceptional. We also show that the only 5-by-5 exceptional matrix with a hollow nonnegative inverse is the Horn matrix (up to positive diagonal congruence and permutation similarity).
Expression for a general element of an matrix.
Janaki, T.M., Rangarajan, Govindan (2003)
International Journal of Mathematics and Mathematical Sciences
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