Hadamard functions of inverse M-Matrices
Probability
2007-05-23 v1
Abstract
We prove that the class of GUM matrices is the largest class of bi-potential matrices stable under Hadamard increasing functions. We also show that any power greater than 1, in the sense of Hadamard functions, of an inverse M-matrix is also inverse M-matrix showing a conjecture stated in Neumann 1998. We study the class of filtered matrices, which include naturally the GUM matrices, and present some sufficient conditions for a filtered matrix to be a bi-potential.
Keywords
Cite
@article{arxiv.math/0601688,
title = {Hadamard functions of inverse M-Matrices},
author = {Claude Dellacherie and Servet Martinez and Jaime San Martin},
journal= {arXiv preprint arXiv:math/0601688},
year = {2007}
}