Factorizations of Completely Positive Matrices over Integers |
Received:May 15, 2000 |
Key Words:
matrix completely positive factorization over integers factorization index
|
Fund Project: |
|
Hits: 2146 |
Download times: 1767 |
Abstract: |
An n×n matrix A is said to be completely positive if A can be factored as A = BBT, where B is an n×m nonnegative matrix. The smallest such number m is called the factorization index of A; A is called doubly nonnegative if it is entrywise nonnegative and positive semidefinite as well. The paper concerns completely positive factorizations of matrices (with integeral entries) in CP, over integers and the related factorization index. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2003.02.029 |
View Full Text View/Add Comment |