Stability of convergent continuous descent methods
Date
2007-02-22
Authors
Aizicovici, Sergiu
Reich, Simeon
Zaslavski, Alexander J.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We consider continuous descent methods for the minimization of convex functions defined on a general Banach space. In our previous work we showed that most of them (in the sense of Baire category) converged. In the present paper we show that convergent continuous descent methods are stable under small perturbations.
Description
Keywords
Complete uniform space, Convex function, Descent method, Generic property, Initial value problem
Citation
Aizicovici, S., Reich, S., & Zaslavski, A. J. (2007). Stability of convergent continuous descent methods. <i>Electronic Journal of Differential Equations, 2007</i>(31), pp. 1-6.
Rights
Attribution 4.0 International