Nonnegative Matrices and Generalized M-matrices

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A Combinatorial Study

ISBN: 3330346876
ISBN 13: 9783330346871
Autor: Saha, Manideepa
Verlag: LAP LAMBERT Academic Publishing
Umfang: 144 S.
Erscheinungsdatum: 28.07.2017
Auflage: 1/2017
Format: 1 x 22 x 15
Gewicht: 233 g
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 2710895 Kategorie:

Beschreibung

The book deals mainly with analyzing and characterizing certain classes of matrices, nonnegative matrices and generalizations of M-matrices. In particular, two types of generalized M-matrices, namely the class of GM -matrices and M_v-matrices are considered. More specifically, this involves a detailed study of the structure of the generalized eigenspace of nonnegative matrices and the generalized nullspace of generalized M-matrices. We attempt to generalize the combinatorial properties of singular M-matrices to the class of singular GM-matrices and singular M_v-matrices. Concepts of eventually monotonicity and eventually nonnegativity on subsets of R^n are introduced to characterize a subclass of M_v-matrices.

Autorenporträt

Dr. Manideepa Saha holds a Ph.D. degree in mathematics from Indian Institute of TechnologyGuwahati. She works as an assistant professor of mathematics at National Institute of TechnologyMeghalaya. Her research interests lie in linear algebra, matrix theory.

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