Sufficient conditions to be exceptional
Charles R. Johnson ; Robert B. Reams
Special Matrices, Tome 4 (2016), p. 67-72 / Harvested from The Polish Digital Mathematics Library
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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).

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:276827 
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     author = {Charles R. Johnson and Robert B. Reams},
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     journal = {Special Matrices},
     volume = {4},
     year = {2016},
     pages = {67-72},
     zbl = {1338.15025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2016-0007}
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Charles R. Johnson; Robert B. Reams. Sufficient conditions to be exceptional. Special Matrices, Tome 4 (2016) pp. 67-72. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2016-0007/

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