LEADER 04714nam 22006855 450 001 9910741158303321 005 20250414095217.0 010 $a9781299336858 010 $a129933685X 010 $a9788132210535 010 $a8132210530 024 7 $a10.1007/978-81-322-1053-5 035 $a(PPN)168333236 035 $a(OCoLC)828402351 035 $a(MiFhGG)GVRL6VRS 035 $a(MiAaPQ)EBC1106198 035 $a(CKB)2550000001017966 035 $a(Au-PeEL)EBL1106198 035 $a(CaPaEBR)ebr10655684 035 $a(CaONFJC)MIL464935 035 $a(OCoLC)828302621 035 $a(MiFhGG)9788132210535 035 $a(DE-He213)978-81-322-1053-5 035 $a(EXLCZ)992550000001017966 100 $a20130217d2013 u| 0 101 0 $aeng 135 $aurun#---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aCombinatorial Matrix Theory and Generalized Inverses of Matrices /$fedited by Ravindra B. Bapat, Steve J. Kirkland, K. Manjunatha Prasad, Simo Puntanen 205 $a1st ed. 2013. 210 1$aNew Delhi :$cSpringer India :$cImprint: Springer,$d2013. 215 $a1 online resource (xvii, 277 pages) $cillustrations (some color) 225 0 $aGale eBooks 300 $a"International Workshop and Conference on Combinatorial Matrix Theory and Generalized Inverses of Matrices--2012, was organized by the Department of Statistics, Manipal University Manipal India."--Pref. 311 08$a9788132217251 311 08$a813221725X 311 08$a9788132210528 311 08$a8132210522 320 $aIncludes bibliographical references and index. 327 $aSkew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube -- Notes on Explicit Block Diagonalization -- The Third Immanant of q-Laplacian Matrices of Trees and Laplacians of Regular Graphs -- Matrix Product of Graphs -- Determinant of the Laplacian Matrix of Weighted Directed Graphs -- From Multivariate Skewed Distributions to Copulas -- Revisiting the BLUE in a Linear Model via Proper Eigenvectors -- Inference in Error Orthogonal Models -- On the Entries of Orthogonal Projection Matrices -- Moore-Penrose Inverse of Perturbed Operators on Hilbert Spaces -- The Reverse Order Law in Indefinite Inner Product Spaces -- Generalized Inverses and Approximation Numbers -- On the Level-2 Condition Number for Moore-Penrose Inverse in Hilbert Space -- Products and Sums of Idempotent Matrices over Principal Ideal Domain -- Perfect Semiring of Nonnegative Matrices -- Regular Matrices over an Incline -- Matrix Partial Orders associated with Space Preorder -- An Illustrated Introductionto Some Old Magic Squares from India -- Appendix: Report on CMTGIM 2012, Manipal -- Index. 330 $aThis 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. 606 $aAlgebras, Linear 606 $aStatistics 606 $aLinear Algebra 606 $aStatistical Theory and Methods 615 0$aAlgebras, Linear. 615 0$aStatistics. 615 14$aLinear Algebra. 615 24$aStatistical Theory and Methods. 676 $a512.9/434 686 $a58-02$a58J05$a58J20$a19K56$a15-06$a15A09$a15Bxx$2msc 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910741158303321 996 $aCombinatorial Matrix Theory and Generalized Inverses of Matrices$93554008 997 $aUNINA