The Department of Mathematics at the Faculty of Science, University of Malta is organising a talk entitled 'Completely Positive Matrices - real, rational and integral'. The speaker is Prof. Avi Berman from Technion– Israel Institute of Technology.
Abstract
The talk will be held on Tuesday 11 July at 11:00 in Room 405 Maths and Physics Building, University of Malta Msida Campus.
Abstract
A completely positive factorization of a matrix A is A=BBT, where B is a nonnegative matrix. A rational completely positive factorization of a matrix A is A=BBT, where B is a nonnegative matrix such that its entries are rational. An integral completely positive factorization of a matrix A is A=BBT, where B is a nonnegative matrix such that its entries are integers. A matrix is completely positive if it has a completely positive factorization.
In the talk we will discuss the following questions:
In the talk we will discuss the following questions:
- When is a symmetric nonnegative matrix, completely positive?
- Does every rational completely positive matrix have a rational completely positive factorization?
- Does every integral completely positive matrix have an integral completely positive factorization?