Discussion for Strictly α-Diagonally Dominant Matrices According to Circuit and its Application

Gui Chun Han; Hai Tao Yang; Hui Shuang Gao

doi:10.4028/www.scientific.net/AMM.444-445.610

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 444-445Discussion for Strictly α-Diagonally Dominant...

Discussion for Strictly α-Diagonally Dominant Matrices According to Circuit and its Application

Abstract:

In this paper, an equivalent representation for strictly-diagonally dominant matrices according to circuit is given by using the theory of diagonally dominant matrices. As its application, some criteria for nonsingular H-matrices are obtained.

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Periodical:

Applied Mechanics and Materials (Volumes 444-445)

Pages:

610-614

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.444-445.610

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Online since:

October 2013

Authors:

Gui Chun Han, Hai Tao Yang, Hui Shuang Gao

Keywords:

Diagonally Dominant Matrices, H-Matrices, Strictly α-Diagonally Dominant Matrices According to Circuit

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References

[1] A Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, SIAM Press, Philadelphia. (1994).

Google Scholar

[2] Ljiljana Cvetković, H-matrix theory vs. eigenvalue location, J. Numer Algor. 42 (2006) 229-245.

DOI: 10.1007/s11075-006-9029-3

Google Scholar

[3] WANG Xiang, LU Lin zhang, -Doublly Diagonally Dominant and the Criterions for H-matrix, J. Journal of Xiamen University(Natural Science). 42(5) (2003) 570-572.

Google Scholar

[4] Yanghua Zhou, Jibing Zhang, Criteria for Nonsingular H-matrix and its Application, J. Science and Technology of West China. 09(06) (2010) 88-89.

Google Scholar