A+ CATEGORY SCIENTIFIC UNIT

Nonlinear multiple hybrid procedures for solving some constrained nonlinear optimization problems

Volume 29 / 2002

B. Rhanizar 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.

Authors

  • B. RhanizarDépartement de Mathématiques
    École Normale Supérieure Takaddoum
    B.P. 5118
    Rabat, Maroc
    and
    Département de Mathématiques
    Faculté des Sciences Semlalia
    Université Cadi Ayyad
    Marrakech, Maroc
    e-mail

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