Bipartite completely positive matrices-Reference-Cited by-同舟云学术

Bipartite completely positive matrices

Published:1988-03 Issue:2 Volume:103 Page:269-276
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Berman Abraham,Grone Robert

Abstract

A non-zero n-by-n matrix A is said to be completely positive if there exist non-negative vectors b1,…, bk, such that

The smallest such integer k is called the factorization index of (completely positive) A, and is denoted by ø(A). Completely positive matrices are important in the study of block designs [4], statistics and modelling of energy demand [3].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. [1] Berman A. and Hershkowitz D. . Combinatorial results on completely positive matrices. To appear in Lin. Alg. Appl.

2. Note on the method of molecular orbitals

3. Nonnegative factorization of positive semidefinite nonnegative matrices

4. Copositive and completely positive quadratic forms

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