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Section B

A note on the pin-pointing solution of ill-conditioned linear system of equations

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Pages 1395-1400 | Received 20 May 2008, Accepted 06 Jun 2008, Published online: 19 May 2009

References

  • Golub , G. H. and Van Loan , C. 1996 . Matrix Computations , Baltimore : The John Hopkins University Press .
  • Kress , R. 1998 . Numerical Analysis , New York : Springer-Verlag .
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  • Martin , R. S. , Peters , G. and Wilkinson , J. H. 1971 . “ Iterative refinement of the solution of a positive definite system of equations ” . In Linear Algebra Handbook for Automatic Computation , Edited by: Baner , F. L. Vol. II , Berlin : Springer-Verlag .
  • Meyer , C. D. 2004 . Matrix Analysis and Applied Linear Algebra , SIAM .
  • Volokh , K. Y. and Vilnay , O. 2000 . Pin-pointing solution of ill-conditioned square systems of linear equations . Appl. Math. Lett. , 13 : 119 – 124 .
  • Wu , X. , Shao , R. and Zhu , Y. 2002 . New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamic system . Comput. Math. Appl. , 44 : 1109 – 1116 .

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