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Group inverses of M-matrices and their applications

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 inv...

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Detalles Bibliográficos
Autores principales: Kirkland, Stephen J, Neumann, Michael
Lenguaje:eng
Publicado: Taylor and Francis 2013
Materias:
Acceso en línea:http://cds.cern.ch/record/1633867
Descripción
Sumario: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 f