New Criteria for Nonsingular H-Matrices

Gui Chun Han

doi:10.4028/www.scientific.net/AMR.1006-1007.1043

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1006-1007New Criteria for Nonsingular H-Matrices

New Criteria for Nonsingular H-Matrices

Abstract:

The concept of quasi-double diagonally dominant matrices is introduced, and it’s equivalent representation is given. As its application, one sufficient condition for nonsingular H-matrices is obtained. The effectiveness of the proposed criterion for nonsingular H-matrices is showed by numerical example.

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Periodical:

Advanced Materials Research (Volumes 1006-1007)

Pages:

1043-1046

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1006-1007.1043

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Online since:

August 2014

Authors:

Gui Chun Han

Keywords:

Diagonally Dominant Matrices, Nonsingular H-Matrices, Quasi-Double Diagonally Dominant Matrices

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References

[1] M. Alanelli, A. Hadjidimos, On iterative for H- and non-H-matrices[J]. Applied Mathematics and Computation, Vol. 188 (2007), pp.19-30.

DOI: 10.1016/j.amc.2006.09.089

Google Scholar

[2] T.Z. Huang, Generalizations of Ostrowski Theorem and Conditions for H-matrices. Mathematica Numerica Sinica, Vol. 16(1) (1994), pp.19-24.

Google Scholar

[3] Z. Huang, A Set of Sufficient Conditions for Nonsingular H-matrices[J]. Journal of Jishou University (Natural Science), Vol. 27(3) (2006), pp.941-945.

Google Scholar

[4] Ljiljana Cvetković, Vladimir Kostić, New criteria for identifying H-matrices[J]. Journal of Computational and Applied Mathematics, Vol. 180 (2005), pp.265-278.

DOI: 10.1016/j.cam.2004.10.017

Google Scholar

[5] M. Li, W.N. Sun, and X. Zhang, etc, Equivalent Representation of -Diagonally Dominant Matrices and Its Application[J]. Journal of Beihua University (Natural Science), 12(4) (2011) 396-401.

Google Scholar