125
Views
2
CrossRef citations to date
0
Altmetric
Articles

Several criteria for judging H- and non-H-matrices

, &
Pages 559-566 | Received 25 Jul 2014, Accepted 12 Jan 2015, Published online: 12 Mar 2015

References

  • A. Berman and R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, SIAM, Philadelphia, PA, 1994.
  • L. Cvetković, V. Kostić, and S. Rauški, A new subclass of H-matrices, Appl. Math. Comput. 208 (2009), pp. 206–210. doi: 10.1016/j.amc.2008.11.037
  • T.-B. Gan, T.-Z. Huang, D.J. Evans, and J. Gao, Sufficient conditions for H-matrices, Int. J. Comput. Math. 82 (2005), pp. 247–258. doi: 10.1080/00207160412331291053
  • T.-Z. Huang, A note on generalized diagonally dominant matrices, Linear Algebra Appl. 225 (1995), pp. 237–242. doi: 10.1016/0024-3795(93)00368-A
  • T.-Z. Huang and R.-S. Ran, A simple estimation for the spectral radius of (block) H-matrices, J. Comput. Appl. Math. 177 (2005), pp. 455–459. doi: 10.1016/j.cam.2004.09.059
  • W. Li, The infinity norm bound for the inverse of nonsingular diagonal dominant matrices, Appl. Math. Lett. 21 (2008), pp. 258–263. doi: 10.1016/j.aml.2007.03.018
  • J. Liu and A. He, Simple criteria for generalized diagonally dominant matrices, Int. J. Comput. Math. 85 (2008), pp. 1065–1072. doi: 10.1080/00207160701472469
  • J. Liu and Y. Huang, Some properties on Schur complements of H-matrices and diagonally dominant matrices, Linear Algebra Appl. 389 (2004), pp. 365–380. doi: 10.1016/j.laa.2004.04.012
  • J. Liu, Z. Huang, and J. Zhang, The dominant degree and disc theorem for the Schur complement of matrix, Appl. Math. Comput. 215 (2010), pp. 4055–4066. doi: 10.1016/j.amc.2009.12.063
  • J. Liu, J. Zhang, and Y. Liu, The Schur complement of strictly doubly diagonally dominant matrices and its application, Linear Algebra Appl. 437 (2012), pp. 168–183. doi: 10.1016/j.laa.2012.02.001
  • M.X. Pang, Criteria for generalized diagonally dominant matrices and its applications, Chinese Ann. Math. 6 (1985), pp. 223–330 (in Chinese).
  • M.X. Pang and Z.X. Li, Generalized Nekrasov matrices and applications, J. Comput. Math. 21 (2003), pp. 183–188.
  • Y.X. Sun, An improvement on a theorem by Ostrowski and its applications, Northeastern Math. J. 7(4) (1991), pp. 497–502.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.