Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

SEVERAL NEW PRACTICAL CRITERIA FOR NONSINGULAR H-MATRICES

  • Mo, Hongmin (College of Mathematics and Computer Science, Jishou University)
  • Received : 2009.09.24
  • Accepted : 2009.11.13
  • Published : 2010.05.30
Download PDF
⟨ Previous Next ⟩

Abstract

H-matrix is a special class of matrices with wide applications in engineering and scientific computation, how to judge if a given matrix is an H-matrix is very important, especially for large scale matrices. In this paper, we obtain several new practical criteria for judging nonsingular H-matrices by using the partitioning technique and Schur complement of matrices. Their effectiveness is illustrated by numerical examples.

Keywords

Acknowledgement

Supported by : NSF

References

  1. A. Berman and R.J. Plemmons, Nonnegative matrices in the mathematical sciences, SIAM Press,New York,1994.
  2. Yingming Gao and Xiaohui Wang, Criteria for generalized diagonally dominant matrices and M-matrices, Linear Algebra Appl. 248 (1996), 335-353.
  3. T. Kohno,H. Niki,et al.,An iterative test for H-matrix,J. Comput. Appl. Math. 115 (2000), 349-355. https://doi.org/10.1016/S0377-0427(99)00303-9
  4. Hou-biao Li,Ting-zhu Huang,On a new criteria for the H-matrix property,Appl. Math. Letters 19 (2006), 1134-1142. https://doi.org/10.1016/j.aml.2005.12.005
  5. Qingming Xie,Anqi He,Jianzhou Liu, On the iterative method for H-matrices,Appl. Math. Comput. 189 (2007), 41-48. https://doi.org/10.1016/j.amc.2006.11.133
  6. F.-Z Zhang, The Schur complement and its applications,Springer,New York,2005.