The values of the generalized matrix functions of 3 × 3 matrices

IF 0.5 4区 数学 Q3 MATHEMATICS
R. Tabata
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引用次数: 2

Abstract

When A is a 3 × 3 positive semi-definite Hermitian matrix, Schur’s inequality and the permanental dominance conjecture are known to hold. In [5], 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.
3 × 3矩阵的广义矩阵函数的值
当A是一个3 × 3正半定厄米矩阵时,舒尔不等式和永久优势猜想成立。在[5]中,我们确定了除子群的阶为2外,归一化广义矩阵函数相对于行列式和恒式的可能位置。本文的目的是确定在最后一个开放情况下的可能位置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
0.60
自引率
0.00%
发文量
12
审稿时长
>12 weeks
期刊介绍: Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.
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