Group inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models. Group Inverses of M-Matrices and Their Applications highlights the importance and utility of the group inverses of M-matrices in several application areas.

chapter 1|6 pages

Motivation and Examples

chapter 2|16 pages

The Group Inverse

chapter 5|68 pages

The Group Inverse in Markov Chains

chapter 6|52 pages

Mean First Passage Times for Markov Chains

chapter 8|42 pages

Computing the Group Inverse