Share This Article:

Extension of Range of MINRES-CN Algorithm

Abstract Full-Text HTML Download Download as PDF (Size:67KB) PP. 1446-1447
DOI: 10.4236/am.2011.212205    3,444 Downloads   5,898 Views  

ABSTRACT

MINRES-CN is an iterative method for solving systems of linear equations with conjugate-normal coefficient matrices whose conspectra are located on algebraic curves of a low degree. This method was proposed in a previous publication of author and KH. D. Ikramov. In this paper, the range of applicability of MINRES-CN is extended in new direction. These are conjugate normal matrices that are low rank perturbations of Symmetric matrices. Examples are given that demonstrate a higher efficiency of MINRES-CN for this class of systems compared to the well-known algorithm GMRES.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

M. Kamalvand, "Extension of Range of MINRES-CN Algorithm," Applied Mathematics, Vol. 2 No. 12, 2011, pp. 1446-1447. doi: 10.4236/am.2011.212205.

References

[1] M. G. Kamalvand and Kh. D. Ikramov, “A Method of the Congruent Type for Linear Systems with Conjugate-Normal Coefficient Matrices,” Computational Mathematics and Mathematical Physics, Vol. 49, No. 2, 2009, pp. 203-216. doi:10.1134/S0965542509020018
[2] H. Fassbender and Kh. D. Ikramov, “Some Observations on the Youla Form and Conjugate-Normal Matrices,” Linear Algebra and its Applications, Vol. 422, No. 1, 2007, pp. 29-38. doi:10.1016/j.laa.2006.09.004
[3] R. A. Horn and C. R. Johnson, “Matrix Analysis,” Cambridge University Press, Cambridge, 1985

  
comments powered by Disqus

Copyright © 2018 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.