New Hybrid Conjugate Gradient Method as a Convex Combination of FR and PRP Methods

Snezana Djordjevic

Abstract


A new hybrid conjugate gradient algorithm is
considered. The parameter $\beta_k$ is computed as a convex
combination of $\beta_k^{FR}$ and $\beta_k^{PRP}$. We compute the parameter $\theta_k$ in such
a way that the conjugacy condition is satisfied.


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