149
Views
1
CrossRef citations to date
0
Altmetric
Section B

Iterative refinement of computing inverse matrix

&
Pages 1126-1134 | Received 08 Sep 2006, Accepted 15 Oct 2007, Published online: 17 Jun 2009

References

  • Chu , E. , George , A. and Quesnel , D. 1993 . Paralle matrix inversion on a subcube-grid . Parallel Comput. , 19 : 243 – 256 .
  • Demmel , J. 2005 . Error bounds from extra precise iterative refinement . Tech. Rep. UCB/CSD-04-1344, LBNL-56965, LBNL
  • Fathi Vajargah , B. 2007 . New advantages to obtain accurate matrix inversion . Appl. Math. Comput. , 189 : 1798 – 1804 .
  • Fathi Vajargah , B. 2007 . Different stochastic algorithms to obtain matrix inversion . Appl. Math. Comput. , 189 : 1841 – 1846 .
  • Higham , N. J. 1997 . Iterative refinement for linear systems and LAPACK . IMA J. Numer. Anal. , 17 : 495 – 509 .
  • Jankowski , M. and Wzniakowski , H. 1977 . Iterative refinement implies numerical stability . BIT , 17 : 303 – 311 .
  • Martin , R. S. , Peters , G. and Wilkinson , J. H. 1971 . “ Iterative refinement of the solution of a positive definite system of equations ” . In Handbook for Automatic Computation , Edited by: Baner , F. L. Vol. II , Berlin Heidelberg, New York : Spring-Verlag . Linear Algebra
  • Philips , G. M. and Taylor , P. J. 1980 . Theory and Applications of Numerical Analysis , New York : Academic Press .
  • Saberi Najafi , H. and Shams Solary , M. 2006 . Computational algorithms for computing the inverse of a square matrix, quasi–inverse of a non–square matrix and block matrices . Appl. Math. Comput. , 183 : 539 – 550 .
  • Wu , X. Y. , Shao , R. and Zhu , Y. 2002 . New iterative improvement of solution for an ill–cinditioned system of linear equations based on a linear dynamic system . Comput. Math. Appl. , 44 : 1109 – 1116 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.