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ON STABILITY CONJUGATE GRADIENT METHOD WITH

1-7

Vol: 5, Issue: 3, 2015

Receiving Date: 2015-05-06 Acceptance Date:

2015-06-03

Publication Date:

2015-07-04

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Abstract

In this paper we discuss and study the stability of conjugate gradient (CG) method with Dixon update, which is suitable and sufficient to large problems since has less storage space.

Keywords: Stability, conjugate gradient method, Dixon update.

References

  1. Magnus R.H. and Eduard S., 'Methods of Conjugate Gradients for Solving Linear Systems', Journal of Research of the National Bureau of Standards, Vol.49, No.6, 1952.
  2. Jonathan R.S., 'An Introduction to the Conjugate Gradient Method without the Agonizing Pain', School of Computer Science, Carnegi Mellon University, Pittusburgh, 1994, PA15213.
  3. Ake B., Tommy E. and Zdenek S., 'Stability of Conjugate Gradient and Lanezos Methods for Linear Least Squares Probelems', SIAM Journal on Matrix Analysis and Applications, Vol.19:ISSUE.3:Pages.720-736, 1998, July.
  4. L.N.M.Tawfiq and R.S.Naom, 'On Training of Artifical Neural Networks', Al-Fath Journal, No.23, 2005.
  5. Miro R. Christopher C.P. and Julien L., 'Numerical Stability of Iterative Methods', Institute of Computer Science Czech Academy of Science, CZ-182, 07 Prague, Czech Republic, GAMM-SIAM Conferena on Applied Linear Algebra, 2006, Dusseldorf, Germany, July.
  6. Krystyna Z., 'The Conjugate Gradient Method in Finite Precision Computations', Warctaw University of Technology, Institute of Mathematics and Computer Science, 2006, Contribution of Wozniakowski, Strakos.
  7. Jabber, A.K., (2009), 'On Training Feed Forward Neural Networks for Approximation Problem', M.Sc. Thesis, University of Baghdad, College of Education Ibn-AlHaitham.
  8. Luma N.M.T., 'Stability of Back Probagation Training Algorithm for Neural Networks', Journal of Baghdad Science, Vol.9 (4), 2012, pp.713-719.
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