Conjugate gradient method for ill – conditioned linear system

Authors

  • Vinay Saxena Department of Mathematics, Kisan PG College, Bahraich, (UP) 271801, India
  • Arun K Awasthi Sanjivni Institute of Technology & Management, Bahraich, (UP) 271801, India

Keywords:

Conjugate Gradient Method, Wilkinson Matrix, Hilbert Matrix

Abstract

In this article, an iterative method - Conjugate Gradient Method is used to deal 4 by 4 Wilkinson matrix and 10 by 10 Hilbert matrix during solving ill- conditioned linear systems. The work has been carried out in FORTRAN on new computational facilities. All calculations have been done in double precision. It is found that, this method is very efficient, fast converging and less time consuming.

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Author Biographies

Vinay Saxena, Department of Mathematics, Kisan PG College, Bahraich, (UP) 271801, India

Department of Mathematics, Kisan PG College, Bahraich, (UP) 271801, India

Arun K Awasthi, Sanjivni Institute of Technology & Management, Bahraich, (UP) 271801, India

Sanjivni Institute of Technology & Management, Bahraich, (UP) 271801, India

Published

21-01-2012

How to Cite

Saxena, V., and A. K. Awasthi. “Conjugate Gradient Method for Ill – Conditioned Linear System”. International Multidisciplinary Research Journal, vol. 2, no. 1, Jan. 2012, https://updatepublishing.com/journal/index.php/imrj/article/view/1539.

Issue

Vol. 2 No. 1 (2012)

Section

Research Articles