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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...

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Main Authors: Dellacherie, Claude. (Author, http://id.loc.gov/vocabulary/relators/aut), Martinez, Servet. (http://id.loc.gov/vocabulary/relators/aut), San Martin, Jaime. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Lecture Notes in Mathematics, 2118
Subjects:
Potential theory (Mathematics).
Probabilities.
Game theory.
Potential Theory.
Probability Theory and Stochastic Processes.
Game Theory, Economics, Social and Behav. Sciences.
Online Access:https://doi.org/10.1007/978-3-319-10298-6
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.

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