Inequalities for the Minimum Eigenvalue of Doubly Strictly Diagonally Dominant -Matrices

Ming Xu, Suhua Li and Chaoqian Li

Journal of Applied Mathematics, 2014, vol. 2014, 1-8

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 , .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:535716

DOI: 10.1155/2014/535716

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