The matrix equation and related problems.
Al'pin, Yu.A., Ilyin, S.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Al'pin, Yu.A., Ilyin, S.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Branislav Martić (1984)
Publications de l'Institut Mathématique
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Mazanik, S.A. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Larsen, Michael (1995)
The Electronic Journal of Combinatorics [electronic only]
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Woźnicki, Zbigniew I. (1998)
Novi Sad Journal of Mathematics
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Zdeněk Halas (2005)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The problem of continuous dependence for inverses of fundamental matrices in the case when uniform convergence is violated is presented here.
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.
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).