Title of article :
Steepest descent method with a generalized Armijo search
for quasiconvex functions on Riemannian manifolds
Author/Authors :
E.A. Papa Quiroz، نويسنده , , E.M. Quispe، نويسنده , , P. Roberto Oliveira، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Abstract :
This paper extends the full convergence of the steepest descent method with a generalized Armijo search and a proximal regularization
to solve minimization problems with quasiconvex objective functions on complete Riemannian manifolds. Previous
convergence results are obtained as particular cases and some examples in non-Euclidian spaces are given. In particular, our approach
can be used to solve constrained minimization problems with nonconvex objective functions in Euclidian spaces if the set
of constraints is a Riemannian manifold and the objective function is quasiconvex in this manifold.
© 2007 Elsevier Inc. All rights reserved
Keywords :
Steepest descent method , Quasiconvex functions , Riemannian manifolds
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications