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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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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