The completable digraphs for the totally nonnegative completion problem
✍ Scribed by Cristina Jordán; Juan-R. Torregrosa; Ramadán el-Ghamry
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 173 KB
- Volume
- 430
- Category
- Article
- ISSN
- 0024-3795
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The convex cone of n × n completely positive (CP) matrices and its dual cone of copositive matrices arise in several areas of applied mathematics, including optimization. Every CP matrix is doubly nonnegative (DNN), i.e., positive semidefinite and component-wise nonnegative, and it is known that, fo
## Abstract Let __Z__~__p__~ denote the cyclic group of order __p__ where __p__ is a prime number. Let __X__ = __X__(__Z__~__p__~, __H__) denote the Cayley digraph of __Z__~__p__~ with respect to the symbol __H__. We obtain a necessary and sufficient condition on __H__ so that the complete graph on