African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 261

Full Length Research Paper

Conjugate gradient method for non-positive definite matrix operator

  Omolehin J.O.1*, Abdulrahman M.K.A.1, Rauf K.1and Udoh P.J. 2
  1Mathematics Department, University of Ilorin, Ilorin, Nigeria. 2Mathematics Department, University of Uyo, Uyo, Nigeria.
Email: [email protected]

  •  Accepted: 18 September 2008
  •  Published: 31 October 2008

Abstract

 

The conjugate Gradient Method relies on symmetric positive definite property of a matrix operator. In this work, we investigate and establish the case of non-positive symmetric matrix operator using various forms of conversions and transformations on the operator.

 

Key words: Hilbert Space, Positive Symmetric Matrix, Quadratic Functional, Conjugate, Gradient Method.

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This article is published under the terms of the Creative Commons Attribution License 4.0

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