Inverse M-Matrices and Ultrametric Matrices

The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses...

Full description

Bibliographic Details
Main Authors: Dellacherie, Claude, Martinez, Servet (Author), San Martin, Jaime (Author)
Format: eBook
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Lecture Notes in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Inverse M - matrices and potentials
  • Ultrametric Matrices
  • Graph of Ultrametric Type Matrices
  • Filtered Matrices
  • Hadamard Functions of Inverse M - matrices
  • Notes and Comments Beyond Matrices
  • Basic Matrix Block Formulae
  • Symbolic Inversion of a Diagonally Dominant M - matrices
  • Bibliography
  • Index of Notations
  • Index