Title of article
An Alternative Three-Term Conjugate Gradient Algorithm for Systems of Nonlinear Equations
Author/Authors
Muhammad, L Department of Mathematics - Faculty of Science - Northwest University, Kano , Waziri, M.Y Department of Mathematical Sciences Faculty of Science - Bayero University Kano - Kano, Nigeria
Pages
13
From page
145
To page
157
Abstract
Abstract. This paper presents an alternative three-term conjugate gradient algorithm for
solving large-scale systems of nonlinear equations. The proposed method is the modication
of memoryless BFGS quasi-Newton update for which the direction is descent using projection
based technique together with Powel restarting criteria. Moreover, we proved the global con-
vergence of the proposed method with a derivative free line search under suitable assumptions.
The numerical results show that the proposed method is promising.
Keywords
Derivative free line search , Conjugate gradient , Systems of onlinear equations , BFGS update
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2438905
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