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March 2015 The values of the generalized matrix functions of $3 × 3$ matrices
Ryo Tabata
Hiroshima Math. J. 45(1): 1-8 (March 2015). DOI: 10.32917/hmj/1428365051

Abstract

When A is a $3 x 3$ positive semi-definite Hermitian matrix, Schur’s inequality and the permanental dominance conjecture are known to hold. In Sharp inequalities for the permanental dominance conjecture, we determined the possible positions of the normalized generalized matrix functions relative to the determinant and the permanent except in the case that the order of the subgroup is 2. The purpose of this paper is to determine the possible positions in the last open case.

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Ryo Tabata. "The values of the generalized matrix functions of $3 × 3$ matrices." Hiroshima Math. J. 45 (1) 1 - 8, March 2015. https://doi.org/10.32917/hmj/1428365051

Information

Published: March 2015
First available in Project Euclid: 7 April 2015

zbMATH: 06441194
MathSciNet: MR3332896
Digital Object Identifier: 10.32917/hmj/1428365051

Subjects:
Primary: 15A15
Secondary: 20C30

Rights: Copyright © 2015 Hiroshima University, Mathematics Program

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Vol.45 • No. 1 • March 2015
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