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An Accelerated Three-Term Conjugate Gradient Algorithm for Solving Large-Scale Systems of Nonlinear Equations |
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PP: 41-48 |
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doi:10.18576/sjm/040203
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Author(s) |
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Mohammed Yusuf Waziri,
Lawal Muhammad,
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Abstract |
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| Nonlinear conjugate gradient method is very popular in solving large-scale unconstrained optimization problems due to its lower storage requirement and simple iterative procedure. Research activities on extending nonlinear conjugate gradient method to higher dimensional systems of nonlinear equations are just beginning. This paper presents simple three-term conjugate gradient algorithm for solving large-scale systems of nonlinear equations.The strategies of acceleration and restart were incorporated in designing the algorithm to improve its numerical performance. The global convergence of the proposed scheme with the general Wolfe conditions under a suitable assumption was proved. Finally, the computational experiment was presented to show the efficiency of the proposed method. |
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