Combinatorial Matrix Theory and Generalized Inverses of Matrices

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bapat, Ravindra B. (Editor), Kirkland, Steve J. (Editor), Prasad, K. Manjunatha. (Editor), Puntanen, Simo. (Editor)
• Format: Electronic
• Language: English
• Published: India : Springer India : Imprint: Springer, 2013.
• Subjects: Mathematics.; Matrix theory.; Mathematical statistics.; Linear and Multilinear Algebras, Matrix Theory.; Statistical Theory and Methods.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-81-322-1053-5

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...

Table of 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 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 Introduction to Some Old Magic Squares from India
• Appendix: Report on CMTGIM 2012, Manipal
• Index.