Nonlinear multiple hybrid procedures for solving some constrained nonlinear optimization problems
Volume 29 / 2002
Applicationes Mathematicae 29 (2002), 185-198
MSC: Primary 90C25.
DOI: 10.4064/am29-2-5
Abstract
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.