African Journal of Mathematics and Mathematical Sciences Vol. 2 (1), pp. 013-015, January, 2014. © International Scholars Journals
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.
*Corresponding author. E-mail: [email protected]
Accepted 18 September, 213
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.