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Sums of totally positive matrices

Authors :
Johnson, C.R.
Olesky, D.D.
Source :
Linear Algebra & its Applications. Nov2004, Vol. 392, p1-9. 9p.
Publication Year :
2004

Abstract

It is shown that an arbitrary m×n positive matrix can be written as a sum of at most min{m,n} totally positive matrices, and that this is in general the best possible value for the number of summands. Sufficient conditions are given under which fewer than min{m,n} totally positive summands are needed. [Copyright &y& Elsevier]

Subjects

Subjects :
*MATRICES (Mathematics)
*ALGEBRA
*NUMERICAL analysis
*MATHEMATICS

Details

Language :
English
ISSN :
00243795
Volume :
392
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
14748868
Full Text :
https://doi.org/10.1016/j.laa.2004.05.008
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