Inequalities for the Minimum Eigenvalue of Doubly Strictly Diagonally Dominant -MatricesReportar como inadecuado




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Journal of Applied MathematicsVolume 2014 2014, Article ID 535716, 8 pages

Research Article

School of Mathematical Sciences, Kaili University, Kaili 556011, China

School of Mathematics and Statistics, Yunnan University, Kunming 650091, China

Received 28 June 2014; Accepted 31 July 2014; Published 17 August 2014

Academic Editor: Shi-Liang Wu

Copyright © 2014 Ming Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let be a doubly strictly diagonally dominant -matrix. Inequalities on upper and lower bounds for the entries of the inverse of are given. And some new inequalities on the lower bound for the minimal eigenvalue of and the corresponding eigenvector are presented to establish an upper bound for the -norm of the solution for the linear differential system , .





Autor: Ming Xu, Suhua Li, and Chaoqian Li

Fuente: https://www.hindawi.com/



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