Positivity around Cauchy matrices

被引：2
|
作者：
Sano, Takashi [1 ]
Tamura, Hiroki [2 ]
机构：
[1] Yamagata Univ, Fac Sci, Yamagata 9908560, Japan
[2] Yamagata Univ, Grad Sch Sci & Engn, Yamagata 9908560, Japan
来源：
POSITIVITY | 2021年 / 25卷 / 02期
关键词：
Cauchy matrix; Loewner matrix; Kwong matrix; Positivity gap;
D O I：
10.1007/s11117-020-00774-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study the determinant of the matrix [2/a(i)+a(j) - epsilon] and the positive definiteness/semidefiniteness of this matrix. As an application, we show the positivity gap of Kwong matrices for the function f (x) = 1 - epsilon x and that of Loewner ones for the function g(x) = root x - epsilon x.
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页码：507 / 513
页数：7
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