Additive representation of symmetric inverse M-matrices and potentials

作者：Dellacherie Claude; Martinez Servet; San Martin Jaime^*

来源：Advances in Applied Mathematics, 2016, 81: 13-39.

DOI：10.1016/j.aam.2016.04.007

• M-matrix
• Potential matrix
• Ultrametric matrices
• Wang algebra
• Matrix-tree theorem

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.

• 出版日期2016-10