Artículo de revista
Additive representation of symmetric inverse M-matrices and potentials
Date
2016Registration in:
Advances in Applied Mathematics 81(2016)13–39
10.1016/j.aam.2016.04.007
Author
Dellacherie, Claude
Martínez Aguilera, Servet
San Martín Aristegui, Jaime
Institutions
Abstract
In this article we characterize the closed cones respectively generated by the symmetric inverse M-matrices and by the inverses of symmetric row diagonally dominant M-matrices. We show the latter has a finite number of extremal rays, while the former has infinitely many extremal rays. As a consequence we prove that every potential is the sum of ultrametric matrices