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Titlebook: Combinatorial Matrix Theory and Generalized Inverses of Matrices; Ravindra B. Bapat,Steve J. Kirkland,Simo Puntanen Book 2013 Springer Ind

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书目名称Combinatorial Matrix Theory and Generalized Inverses of Matrices
编辑Ravindra B. Bapat,Steve J. Kirkland,Simo Puntanen
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概述Delves into two very important contemporary areas in linear algebra, namely combinatorial matrix theory and generalized inverses.Makes substantial advances in theory and application-oriented research
图书封面Titlebook: Combinatorial Matrix Theory and Generalized Inverses of Matrices;  Ravindra B. Bapat,Steve J. Kirkland,Simo Puntanen Book 2013 Springer Ind
描述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 genera
出版日期Book 2013
关键词Energy of Graph; Generalized Inverse; Linear Regression Model,; Magic Square; Matrix Methods in Graphs; P
版次1
doihttps://doi.org/10.1007/978-81-322-1053-5
isbn_softcover978-81-322-1725-1
isbn_ebook978-81-322-1053-5
copyrightSpringer India 2013
The information of publication is updating

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发表于 2025-3-21 22:20:17 | 显示全部楼层
,On the Level-2 Condition Number for Moore–Penrose Inverse in Hilbert Space,
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Combinatorial Matrix Theory and Generalized Inverses of Matrices978-81-322-1053-5
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imation 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 genera978-81-322-1725-1978-81-322-1053-5
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Skew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube,percube .. by orienting the edges of . in a specific way. The skew adjacency matrices .(..) obtained in this way for some special families of . answer some special cases of the Inverse Eigenvalue Problem. Further we present a new orientation . to the hypercube .. for which the skew energy equals the
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On the Entries of Orthogonal Projection Matrices,bounds for the values of the entries are identified. On the other hand, particular attention is paid to the question of how an orthogonal projector changes when its entries are modified. The modifications considered are those of a single entry and of an entire row or column. Some applications of the
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