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

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  • Ming Xu
  • Suhua Li
  • Chaoqian Li

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 , .

Suggested Citation

  • Ming Xu & Suhua Li & Chaoqian Li, 2014. "Inequalities for the Minimum Eigenvalue of Doubly Strictly Diagonally Dominant -Matrices," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, August.
    • Handle: RePEc:hin:jnljam:535716
    DOI: 10.1155/2014/535716
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