A characterization of trace zero nonnegative 5x5 matrices

Authors
Laffey, TJ Meehan, E
Citation
Tj. Laffey et E. Meehan, A characterization of trace zero nonnegative 5x5 matrices, LIN ALG APP, 303, 1999, pp. 295-302
Citations number
6
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
303
Year of publication
1999
Pages
295 - 302
Database
ISI
SICI code
0024-3795(199912)303:<295:ACOTZN>2.0.ZU;2-O
Abstract
Let sigma = (lambda(1), lambda(2), lambda(3), lambda(4), lambda(5),) be a l ist 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.