Nonnegative factorization of completely positive matrices
β Scribed by John Hannah; Thomas J. Laffey
- Book ID
- 107824967
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 408 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
The convex cone of n Γ 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
An n Γ n real matrix A is called completely positive (CP) if it can be factored as A = B B (" " stands for transpose) where B is an m Γ n entrywise nonnegative matrix for some integer m. The smallest such number m is called the cprank of A. In this paper we present a necessary and sufficient conditi