The matrix equation and related problems.
Al'pin, Yu.A., Ilyin, S.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Displaying similar documents to “On solutions of a matrix equations system AX = B, XD = E”
The matrix equation and related problems.
Note on Some Mercerian Theorems
Branislav Martić (1984)
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 some Generalized Inverses of Matrices and some Linear Matrix Equations
Jovan D. Kečkić (1989)
Publications de l'Institut Mathématique
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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).
The problem of kings.
Larsen, Michael (1995)
The Electronic Journal of Combinatorics [electronic only]
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On polynomial matrices.
Meenakshi, Ar., Anandam, N. (1992)
International Journal of Mathematics and Mathematical Sciences
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The plenary hull of the generalized Jacobian matrix and the inverse function theorem in subdifferential calculus
Telma Caputti (1990)
Colloquium Mathematicae
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On a nonnegative irreducible matrix that is similar to a positive matrix
Raphael Loewy (2012)
Open Mathematics
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Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.