Unitary dilation and fixed point theorem
Marek Ptak (1989)
Annales Polonici Mathematici
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Marek Ptak (1989)
Annales Polonici Mathematici
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Bolotnikov, Vladimir, Li, Chi-Kwong, Rodman, Leiba (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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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.
Li, Chi-Kwong, Mathias, Roy (1999)
Journal of Inequalities and Applications [electronic only]
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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).
Najar, Rudolph M. (1995)
International Journal of Mathematics and Mathematical Sciences
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Tam, Tin-Yau, Yan, Wen (2007)
Applied Mathematics E-Notes [electronic only]
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Jaroslav Kurzweil, Alena Vencovská (1987)
Czechoslovak Mathematical Journal
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W. W. Crawley-Boevey (1990)
Banach Center Publications
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Mazanik, S.A. (1998)
Memoirs on Differential Equations and Mathematical Physics
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