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On Henrici's transformation in optimization

B. Rhanizar — 2000

Applicationes Mathematicae

Henrici’s transformation is a generalization of Aitken’s Δ 2 -process to the vector case. It has been used for accelerating vector sequences. We use a modified version of Henrici’s transformation for solving some unconstrained nonlinear optimization problems. A convergence acceleration result is established and numerical examples are given.

Nonlinear multiple hybrid procedures for solving some constrained nonlinear optimization problems

B. Rhanizar — 2002

Applicationes Mathematicae

We introduce a new formulation of multiple hybrid procedures which consist in a combination of k arbitrary approximate solutions. The connection between this method and other vector sequence transformations is studied. This connection is also exploited for solving some constrained nonlinear optimization problems. A convergence acceleration result is established and numerical examples are given.

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