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New hyrid conjugate gradient method as a convex combination of HZ and CD methods

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In this paper, a new hybrid conjugate gradient algorithm is proposed for solving unconstrained optimization problems, the conjugate gradient parameter [Formula: see text] is computed as a convex combination of… Click to show full abstract

In this paper, a new hybrid conjugate gradient algorithm is proposed for solving unconstrained optimization problems, the conjugate gradient parameter [Formula: see text] is computed as a convex combination of [Formula: see text] and [Formula: see text]. Under the wolfe line search, we prove the sufficient descent and the global convergence. Numerical results are reported to show the effectiveness of our procedure.

Keywords: convex combination; conjugate gradient; formula see

Journal Title: Asian-european Journal of Mathematics
Year Published: 2021

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