Completely positive matrices with a book-graph

被引:12
作者
Barioli, F [1 ]
机构
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
关键词
completely positive matrices; completely positive graphs; cyclic matrices;
D O I
10.1016/S0024-3795(97)10070-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new class of graphs, called "book-graphs", extending the class of completely positive graphs is defined. Necessary and sufficient conditions for the complete positivity of a matrix with graph in this class are given. The main questions concerning completely positive matrices with cyclic graph are solved. (C) 1998 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:11 / 31
页数:21
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