Another hybrid conjugate gradient algorithm is subject to analysis. The parameter Î² k is computed as a convex combination of $$ \beta ^{{HS}}_{k} $$ (Hestenes-Stiefel) and $$ \beta ^{{DY}}_{k} $$â€¦ (More)

In this paper we propose a fundamentally different conjugate gradient method, in which the well known parameter k Î² is computed by an approximation of the Hessian / vector product through finiteâ€¦ (More)

An accelerated scaled memoryless BFGS preconditioned conjugate gradient algorithm for solving unconstrained optimization problems is presented. The basic idea is to combine the scaled memoryless BFGSâ€¦ (More)

An accelerated hybrid conjugate gradient algorithm represents the subject of this paper. The parameter Î² k is computed as a convex combination of $\beta_k^{HS}$ (Hestenes and Stiefel, J Res Nat Burâ€¦ (More)

The paper presents some open problems associated to the nonlinear conjugate gradient algorithms for unconstrained optimization. Mainly, these problems refer to the initial direction, the conjugacyâ€¦ (More)

New accelerated nonlinear conjugate gradient algorithms which are mainly modifications of the Dai and Yuanâ€™s for unconstrained optimization are proposed. Using the exact line search, the algorithmâ€¦ (More)

A three-term conjugate gradient algorithm for large-scale unconstrained optimization using subspace minimizing technique is presented. In this algorithm the search directions are computed byâ€¦ (More)

This paper presents a project for three-term conjugate gradient algorithms development. The search direction of the algorithms from this class has three terms and is computed as modifications of theâ€¦ (More)