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

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

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 Compa

Author

Stephen J. Kirkland & Michael Neumann

Publisher

Chapman and Hall/CRC

Published

2019

Language

EN

ISBN

9780367380489

Subjects

Mathematics, Stem