Portada del libro de Nonnegative Matrices and Generalized M-matrices
Título del libro:
Nonnegative Matrices and Generalized M-matrices
A Combinatorial Study
LAP LAMBERT Academic Publishing
(2017-07-03
)
apto para el cupón
ISBN-13:
978-3-330-34687-1
ISBN-10:
3330346876
EAN:
9783330346871
Idioma del libro:
Inglés
Notas y citas / Texto breve:
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.