New Criteria for Nonsingular <i>H</i>-Matrices-Reference-Cited by-同舟云学术

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New Criteria for Nonsingular H-Matrices

Published:2014-08 Issue: Volume:1006-1007 Page:1043-1046
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Han Gui Chun¹

Affiliation:

1. Inner Mongolia University for the Nationalities

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.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.1006-1007.1043.pdf

Reference5 articles.

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

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

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.

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

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.

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