Generalization of Samuelson's inequality and location of eigenvalues

被引：4
作者：
Sharma, R. [1 ]
Saini, R. [1 ]
机构：
[1] HP Univ, Dept Math, Shimla 171005, India
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2015年 / 125卷 / 01期
关键词：
Maximum deviation; central moments; Hermitian matrix; eigenvalues; condition number; polynomial; roots; BOUNDS; VARIANCE; DEVIANT;
D O I：
10.1007/s12044-015-0216-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a generalization of Samuelson's inequality for higher order central moments. Bounds for the eigenvalues are obtained when a given complex n x n matrix has real eigenvalues. Likewise, we discuss bounds for the roots of polynomial equations.
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页码：103 / 111
页数：9
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