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Combinatorial Matrix Theory and Generalized Inverses of Matrices (Hardcover, 2013 ed.)
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Combinatorial Matrix Theory and Generalized Inverses of Matrices (Hardcover, 2013 ed.)
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This book consists of eighteen articles in the area of
`Combinatorial Matrix Theory' and `Generalized Inverses of
Matrices'. Original research and expository articles presented in
this publication are written by leading Mathematicians and
Statisticians working in these areas. The articles contained herein
are on the following general topics: `matrices in graph theory',
`generalized inverses of matrices', `matrix methods in statistics'
and `magic squares'. In the area of matrices and graphs, speci_c
topics addressed in this volume include energy of graphs, q-analog,
immanants of matrices and graph realization of product of adjacency
matrices. Topics in the book from `Matrix Methods in Statistics'
are, for example, the analysis of BLUE via eigenvalues of
covariance matrix, copulas, error orthogonal model, and orthogonal
projectors in the linear regression models. Moore-Penrose inverse
of perturbed operators, reverse order law in the case of inde_nite
inner product space, approximation numbers, condition numbers,
idempotent matrices, semiring of nonnegative matrices, regular
matrices over incline and partial order of matrices are the topics
addressed under the area of theory of generalized inverses. In
addition to the above traditional topics and a report on CMTGIM
2012 as an appendix, we have an article on old magic squares from
India.
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