Eigenvalues of Hadamard powers of large symmetric Pascal matrices

被引：2
|
作者：
Ashrafi, A
Gibson, PM
机构：
[1] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA
[2] Univ Alabama, Dept Elect & Comp Engn, Huntsville, AL 35899 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 405卷
关键词：
eigenvalues; symmetric Pascal matrices; real Hadamard powers; Perron roots; positive matrices; positive definite matrices; convergence; MATLAB;
D O I：
10.1016/j.laa.2005.02.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let S, be the positive real symmetric matrix of order n with (i, j) entry equal to [GRAPHICS] and let x be a positive real number. Eigenvalues of the Hadamard (or entry j - I wise) power S-n((x)) are considered. In particular for k a positive integer, it is shown that both the Perron root and the trace of S-n((k)) are approximately equal to 4(k)/4(k)-1 [GRAPHICS] (C) 2005 Elsevier Inc. All rights reserved.
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页码：60 / 66
页数：7
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