On the generalizations of two Ozeki's results
J. E. Pečarić (1982)
Matematički Vesnik
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J. E. Pečarić (1982)
Matematički Vesnik
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Selvaraj, C.R. (1990)
International Journal of Mathematics and Mathematical Sciences
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I. J. Schoenberg, Anne Whitney (1951)
Compositio Mathematica
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Hansen, Frank, Tomiyama, Jun (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Steib, Michael L. (1973)
Portugaliae mathematica
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Zuber, Irina E. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Toader, G. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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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).
T. Zgraja (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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