Notes on power LCM matrices
Shaofang Hong (2004)
Acta Arithmetica
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Shaofang Hong (2004)
Acta Arithmetica
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International Journal of Mathematics and Mathematical Sciences
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George Hutchinson (2017)
Special Matrices
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We offer a counterexample to a conjecture concerning the permanent of positive semidefinite matrices. The counterexample is a 4 × 4 complex correlation matrix.
Wang, Jonathan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Sasser, D.W., Slater, M.L. (1969)
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Applied Mathematics E-Notes [electronic only]
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Antonín Vrba (1973)
Časopis pro pěstování matematiky
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Francesco Barioli (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Raphael Loewy (2012)
Open Mathematics
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Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.