Necessary conditions and a sufficient condition for the Fischer-Hadamard inequalities |
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Authors: | Daniel Hershkowitz Abraham Berman |
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Affiliation: | a Department of Mathematics, Technion—Israel Institute of Technology, Haifa, Israel |
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Abstract: | It is well known that a matrix, all of whose principal minors are positive, satisfies the Fischer-Hadamard inequalities if and only if it is weakly sign symmetric. In this paper we consider the general case of matrices whose principal minors may be nonpositive. Necessary conditions and a sufficient condition for the Fischer-Hadamard inequalities to hold are given in the general case. |
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