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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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Lenguaje: | eng |
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Taylor and Francis
2013
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Acceso en línea: | http://cds.cern.ch/record/1633867 |
_version_ | 1780934432563134464 |
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author | Kirkland, Stephen J Neumann, Michael |
author_facet | Kirkland, Stephen J Neumann, Michael |
author_sort | Kirkland, Stephen J |
collection | CERN |
description | 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 |
id | cern-1633867 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2013 |
publisher | Taylor and Francis |
record_format | invenio |
spelling | cern-16338672021-04-21T21:31:49Zhttp://cds.cern.ch/record/1633867engKirkland, Stephen JNeumann, MichaelGroup inverses of M-matrices and their applicationsMathematical Physics and Mathematics 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 fTaylor and Francisoai:cds.cern.ch:16338672013 |
spellingShingle | Mathematical Physics and Mathematics Kirkland, Stephen J Neumann, Michael Group inverses of M-matrices and their applications |
title | Group inverses of M-matrices and their applications |
title_full | Group inverses of M-matrices and their applications |
title_fullStr | Group inverses of M-matrices and their applications |
title_full_unstemmed | Group inverses of M-matrices and their applications |
title_short | Group inverses of M-matrices and their applications |
title_sort | group inverses of m-matrices and their applications |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/1633867 |
work_keys_str_mv | AT kirklandstephenj groupinversesofmmatricesandtheirapplications AT neumannmichael groupinversesofmmatricesandtheirapplications |