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Combinatorial Matrix Theory and Generalized Inverses of Matrices

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...

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Bibliographic Details
Other Authors: Bapat, Ravindra B. (Editor), Kirkland, Steve J. (Editor), Prasad, K. Manjunatha (Editor), Puntanen, Simo (Editor)
Format: eBook
Language:English
Published: New Delhi Springer India 2013, 2013
Edition:1st ed. 2013
Subjects:
Statistical Theory And Methods
Statistics 
Linear Algebra
Algebras, Linear
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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 Introductionto Some Old Magic Squares from India
  • Appendix: Report on CMTGIM 2012, Manipal
  • Index

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