Advisor(s)
Abstract(s)
This work presents the study of some properties of nonnegative matrices, spectral and structural properties of this class of matrices, and some of the most important results for this study as the GerSgorin Theorem and the Perron- -Frobenius Theorem. There is also the study of some matricial splittings as well as their importante in the development of efficient iterative methods. In this study some concepts are distinguished such as the matrix monotonicity, Z-matrices and M-matrices. Finally, and with the purpose of estimating the discretization error of ordinary differencial equations, two applications are presented appealing to the çtudy of the matrix monotonicity and limits for norms of inverse of monotone matrices.
Description
Keywords
Matemática Matrizes não negativas Decomposição