Simple Criteria for Block H-Matrices

Hui Shuang Gao

doi:10.4028/www.scientific.net/AMM.587-589.2307

Paper Titles

Research on the Application of BIM Technology in Indemnificatory Houses Planning and Design
p.2290

Improved Global Harmony Search Algorithm for Numerical Optimization
p.2295

Two-Sided Matching with Ordinal Numbers and Costs
p.2299

A Class of Linear Integral Equation in Engineering
p.2303

Simple Criteria for Block H-Matrices
p.2307

Solving Discrete Dirichlet Problems on Spectral Finite Elements by Fast Domain Decomposition Algorithm
p.2312

Study on the Fitting Methods of the Polyworks Software
p.2330

The Stability Analysis for a Kind of Functional Differential Equations
p.2335

Wireless Sensor Network Mobile Agent Routing Based on the Improved Ant Colony Algorithm
p.2339

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 587-589Simple Criteria for Block H-Matrices

Simple Criteria for Block H-Matrices

Abstract:

In this paper, a sufficient and necessary condition for judging block strictly -diagonally dominant matrices is given firstly. According to the given condition, a new practical criteria for block H-matrices is obtained.

You might also be interested in these eBooks

Sustainable Cities Development and Environment Protection IV

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 587-589)

Pages:

2307-2311

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.587-589.2307

Citation:

Cite this paper

Online since:

July 2014

Authors:

Hui Shuang Gao

Keywords:

Block Diagonal Dominance, Block H-Matrices, Block-Diagonally Dominant Matrices

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] David G. Feingold, Richard S. Varga. Block diagonally dominant matrices and generalizations of the Gerschgorin Circle Theorem, Pacific J. Math., Vol. 1241-1250 (1962), p.12.

DOI: 10.2140/pjm.1962.12.1241

Google Scholar

[2] Jinhua Zhou, Guorong Wang. Block idempotent matrices and generallized Schur complement, Applied Mathematics and Computation, Vol. 246-256(2007) p.188.

DOI: 10.1016/j.amc.2006.08.175

Google Scholar

[3] HuangTingzhu, Li Wen. Block H-matrices and Spectrum of Block Matrices. Applied Mathematics and Mechanics, Vol. 236-240(2002), p.23.

DOI: 10.1007/bf02436566

Google Scholar

[4] C.Y. Zhang, Y.T. Li, F. Chen. On Schur complement of block diagonally dominant matrices, Linear Algebra Appl., Vol. 533-546(2006), p.414.

DOI: 10.1016/j.laa.2005.10.046

Google Scholar

[5] Chi-Ye Wu, Ting-zhu Huang. Stability of block LU factorization for block tridiagonal block H-Matrices, Journal of Computational and Applied Mathematics, Vol. 2673 -2684(2012), p.236.

DOI: 10.1016/j.cam.2012.01.003

Google Scholar

[6] Li Qingchun, Liu Lei. Generalizations of Diagonal Dominance for Matrices. Journal of Jilin Teachers College, Vol. 4-7 (1996), p.17.

Google Scholar

[7] You Zhaoyong, Huang Tingzhu. Properties of Two Classes of Partitioned Matrices and Sufficient Conditions for Positive Stability and Sub-positive Definity of a Matrix, Vol. 89-92(1995), p.12.

Google Scholar