In the setting of Hilbert spaces, we show that a hybrid steepest-descent algorithm converges strongly to a solution of a convex minimization problem over the fixed point set of a finite family of ...

Conjugate gradient methods form a class of iterative algorithms that are highly effective for solving large‐scale unconstrained optimisation problems.

In this paper we present two algorithms for LC¹ unconstrained optimization problems which use the second order Dini upper directional derivative. These methods are simple and easy to perform. We ...