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Group Inverses Of M-matrices And Their Applications (chapman & Hall/crc Applied Mathematics And Nonlinear Science) by Stephen J. Kirkland and Michael Neumann is a nonfiction available to read on EtoBox.

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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. After introducing sample problems associated with Leslie matrices and stochastic matrices, the authors develop the basic algebraic and spectral properties of the group inverse of a general matrix. They then derive formulas for derivatives of matrix functions and apply the formulas to matrices arising in a demographic setting, including the class of Leslie matrices. With a focus on Markov chains, the text shows how the group inverse of an appropriate M-matrix is used in the perturbation analysis of the stationary distribution vector as well as in the derivation of a bound for the asymptotic convergence rate of the underlying Markov chain. It also illustrates how to use the group inverse to compute and analyze the mean first passage matrix for a Markov chain. The final chapters focus on the Laplacian matrix for an undirected graph and com

Who reads Group Inverses Of M-matrices And Their Applications (chapman & Hall/crc Applied Mathematics And Nonlinear Science)?

Author

Stephen J. Kirkland and Michael Neumann

Publisher

Chapman and Hall/CRC

Published

2012

Language

EN

ISBN

9780367848354

Category

nonfiction

Subjects

Mathematics, Stem