A characterization of trace zero nonnegative 5x5 matrices

被引:0
|
作者
Laffey, TJ [1 ]
Meehan, E [1 ]
机构
[1] Univ Coll Dublin, Dept Math, Dublin 2, Ireland
关键词
matrix; spectrum; graph; cycles; Petersen graph; nonnegative inverse eigenvalue problem;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let sigma = (lambda(1), lambda(2), lambda(3), lambda(4), lambda(5),) be a list of complex numbers with lambda(1) + lambda(2) + lambda(3) + lambda(4) + lambda(5) = 0. Necessary and sufficient conditions for the existence of an entry-wise nonnegative 5 x 5 matrix A with spectrum sigma are presented. (C) 1999 Elsevier Science Inc. All rights reserved.
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页码:295 / 302
页数:8
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