Combinatorial matrix theory and generalized inverses of matrices

Delves into two very important contemporary areas in linear algebra, namely combinatorial matrix theory and generalized inverses. Covers a wide range of topics of interest such as graph theory, linear algebra, numerical methods and statistical inference.

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Bibliographic Details
Corporate Authors: SpringerLink (Online service)
Group Author: Bapat, R. B.
Published:
Literature type: Electronic eBook
Language: English
Subjects:
Online Access: http://dx.doi.org/10.1007/978-81-322-1053-5
Summary: Delves into two very important contemporary areas in linear algebra, namely combinatorial matrix theory and generalized inverses. Covers a wide range of topics of interest such as graph theory, linear algebra, numerical methods and statistical inference.
Carrier Form: 1 online resource (xvii, 277 p.)
Bibliography: Includes bibliographical references and index.
ISBN: 9788132210535 (electronic bk.)
8132210530 (electronic bk.)
Index Number: QA188
CLC: O151.21
Contents: Skew 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 a Weighted Directed Graph /
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 Domains /
Perfect Semiring of Nonnegative Matrices /
Regular Matrices over an Incline /
Matrix Partial Orders Associated with Space Preorder /
An Illustrated Introduction to Some Old Magic Squares from India /
A Report on CMTGIM 2012, Manipal /