Duality for non-convex variational problems
نویسندگان
چکیده
منابع مشابه
A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems
(ABSTRACT) This thesis represents a theoretical and numerical investigation of the canonical duality theory, which has been recently proposed as an alternative to the classic and direct methods for non-convex variational problems. These non-convex variational problems arise in a wide range of scientific and engineering applications, such as phase transitions, post-buckling of large deformed bea...
متن کاملOn Multiobjective Duality For Variational Problems
In this paper two types of duals are considered for a class of variational problems involving higher order derivatives. The duality results are derived without any use of optimality conditions. One set of results is based on MondWeir type dual that has the same objective functional as the primal problem but different constraints. The second set of results is based on a dual of an auxiliary prim...
متن کاملAnalysis of Two Dimensional Non Convex Variational Problems
The purpose of this work is to carry out the analysis of twodimensional scalar variational problems by the method of moments. This method is indeed shown to be useful for treating general cases in which the Lagrangian is a separable polynomial in the derivative variables. In these cases, it follows that the discretization of these problems can be reduced to a single large scale semidefinite pro...
متن کاملConvex Variational Formulations for Learning Problems
In this article, we introduce new techniques to solve the nonlinear regression problem and the nonlinear classification problem. Our benchmarks suggest that our method for regression is significantly more effective when compared to classical methods and our method for classification is competitive. Our list of classical methods includes least squares, random forests, decision trees, boosted tre...
متن کاملDuality for vector equilibrium problems with constraints
In the paper, we study duality for vector equilibrium problems using a concept of generalized convexity in dealing with the quasi-relative interior. Then, their applications to optimality conditions for quasi-relative efficient solutions are obtained. Our results are extensions of several existing ones in the literature when the ordering cones in both the objective space and the constr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2015
ISSN: 1631-073X
DOI: 10.1016/j.crma.2015.01.014