Abstracts of invited talks blancos of invited talks blanco A moving balls approximation method for a class of smooth constrained minimization Alfred Auslender Université de Lyon, France We introduce a new algorithm for a class of smooth constrained minimization problems which is an iterative scheme that generates a sequence of feasible points that approximates the constraints set by a sequence ...

Abstract We present an extension of the Livens variational principle (sometimes also referred to as Hamilton-Pontryagin principle) mechanical systems subject holonomic constraints. The newly proposed embodies index reduction in spirit often-applied GGL stabilization and thus may be termed “GGL principle”. Euler-Lagrange equations assume form differential-algebraic (DAEs) with differentiation tw...

A system with anholonomic constraints where the trajectories of physical degrees of freedom are autoparallels on a manifold equipped with a general Cartan connection is discussed. A variational principle for the autoparallel trajectories is derived from the d’Alambert-Lagrange principle for anholonomic constrained systems. A geometrical (coordinate-independent) formulation of the variational pr...

In this paper, we consider the variational homotopy perturbation method (VHPM) to obtain an approximate series solution for the generalized Fisher’s equation which converges to the exact solution in the region of convergence. Comparisons are made among the variational iteration method (VIM), the exact solutions and the proposed method. The results reveal that the proposed method is very effectiv...

It has been known since the early 1970s that the Hessian matrices in quasi– Newton methods can be updated by variational means, in several different ways. The usual formulation of these variational problems uses a coordinate system, and the symmetry of the Hessian matrices are enforced as explicit constraints. As a result, the variational problems seem complicated. In this paper, we give a very...