๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Complete positive group presentations

โœ Scribed by Patrick Dehornoy


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
517 KB
Volume
268
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Positive groups on Hn are completely pos
โœ Tobias Damm ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 198 KB

We prove that an operator generates a positive group on the real space of real or complex Hermitian matrices, if and only if it is a Lyapunov operator. In particular it follows that every group of positive operators in fact is a group of completely positive operators.

Completely positive matrices
โœ Changqing Xu ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 178 KB

An n ร— 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 ร— 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