Jacobian approach to optimal determination of perturbation parameter for gradient method

Abstract

In this work, the optimal determination of the perturbation factor (λ) or perturbation parameter for gradient method is considered. The spectrum analysis of the associated Jacobian of the associated matrix has laid the basis for the judicious selection of the perturbation factor. Numerical work is carried out to prove our hypothesis.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 363-370