Inequalities for the Minimum Eigenvalue of Doubly Strictly Diagonally Dominant M‐Matrices

Ming Xu, Suhua Li and Chaoqian Li

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: Let A be a doubly strictly diagonally dominant M‐matrix. Inequalities on upper and lower bounds for the entries of the inverse of A are given. And some new inequalities on the lower bound for the minimal eigenvalue of A and the corresponding eigenvector are presented to establish an upper bound for the L1‐norm of the solution x(t) for the linear differential system dx/dt = −Ax(t), x(0) = x0 > 0.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/535716

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:535716

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().