Some nonlinear Lagrange and penalty functions for problems with a single constraint
- Authors: Giri, Jason , Rubinov, Alex
- Date: 2009
- Type: Text , Book chapter
- Relation: Optimization : Structure and applications Chapter 3 p. 41-54
- Full Text: false
- Description: 2003007561
Dynamical systems described by relational elasticities with applications to global optimization
- Authors: Mammadov, Musa , Rubinov, Alex , Yearwood, John
- Date: 2005
- Type: Text , Book chapter
- Relation: Continuous Optimization: Current Trends and Modern Applications Chapter p. 365-385
- Full Text: false
- Reviewed:
- Description: B1
Minimization of the sum of minima of convex functions and its application to clustering
- Authors: Rubinov, Alex , Soukhoroukova, Nadejda , Ugon, Julien
- Date: 2005
- Type: Text , Book chapter
- Relation: Continuous Optimization Chapter p. 409-434
- Full Text:
- Description: We study functions that can be represented as the sum of minima of convex functions. Minimization of such functions can be used for approximation of finite sets and their clustering. We suggest to use the local discrete gradient (DG) method [Bag99] and the hybrid method between the cutting angle method and the discrete gradient method (DG+CAM) [BRZ05b] for the minimization of these functions. We report and analyze the results of numerical experiments.
- Description: 2003004082