WebSpecial ultrametric matrices are, in a sense, extremal matrices in the boundary of the set of ultrametric matrices introduced by Martínez, Michon, and San Martín [ SIAM J. … WebIn this article we present a new characterization of inverse M -matrices, inverse row diagonally dominant M -matrices and inverse row and column diagonally dominant M -matrices, based on the positivity of certain inner products.

Inverse M-matrices and ultrametric matrices - WorldCat

WebA general ultrametric matrix is then the sum of a nonnegative diagonal matrix and a special ultrametric matrix, with certain conditions fulfilled. The rank of a special ultrametric matrix is also recognized and it is shown that its Moore--Penrose inverse is a generalized diagonally dominant M -matrix. WebThe ultrametric distance matrix is defined as an additive matrix which models the constant molecular clock. It is used to build a phylogenetic tree. A matrix M is said to be ultrametric if there exists a tree T such that: Mij equals the sum of the edge weights along the path from i to j in T clift hotel red room

ultrametric - PlanetMath

WebFeb 12, 2009 · In this article we study which infinite matrices are potential matrices. We tackle this problem in the ultrametric framework by studying infinite tree matrices and ultrametric matrices. For each tree matrix, we show the existence of an associated symmetric random walk and study its Green potential. We provide a representation … WebHere, we develop an algorithm, based on graph theory, which determines if a given strictly diagonally dominant Stieltjes matrix A has a strictly ultrametric inverse, where the algorithm is applied to A and requires no computation of inverse. http://link.library.mst.edu/portal/Inverse-M-Matrices-and-Ultrametric-Matrices-by/_FMGlFE9-KU/ clift hotel in san francisco