Nonnegative Matrices and Generalized M-matrices : A Combinatorial Study

ISBN-13: 9783330346871 / Angielski / Miękka / 2017 / 144 str.

Manideepa Saha

Opis

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.

O autorze

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.