On a variant of the matrix transformation method for approximate solution of partial differential equations of second degree
A. Szustalewicz (1971)
Applicationes Mathematicae
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A. Szustalewicz (1971)
Applicationes Mathematicae
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Al'pin, Yu.A., Ilyin, S.N. (2005)
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Branislav Martić (1984)
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Janaki, T.M., Rangarajan, Govindan (2003)
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M. Haverić (1984)
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Charles R. Johnson, Robert B. Reams (2016)
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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).
Lemma, Mulatu, Tessema, George (2000)
International Journal of Mathematics and Mathematical Sciences
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