The Augmented Lagragian Method (ALM) and Alternating Direction Method of Multiplier (ADMM) have been powerful optimization methods for general convex programming subject to linear constraint. We consider the convex problem whose objective consists of a smooth part and a nonsmooth but simple part. We propose the Fast Proximal Augmented Lagragian Method (Fast PALM) which achieves the convergence ...

In this paper we present a method to obtain a Cr-surface approximating a Lagragian data set in a polygonal domain and minimizing a certain “energy functional”. We give a convergence result and a numerical and graphical example involving C2-surfaces.

We consider an arbitrary U(1) charged matter non-minimally coupled to the self-dual field in d = 2 + 1. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both a Lagragian gauge embedding and a master action approaches we derive the dual Maxwell Chern-Simons type model and show the classical equivalence between the two theories. At quantum level ...

We propose a mechanism for instanton induced chiral symmetry breaking in QCD with fundamental scalars. The model Lagragian that we use has the same symmetry properties as QCD. The scalar fields develop vacuum expectation values at a non-trivial minimum and generate masses for thhe light quarks. The minimization condition is also used to break the SU(Nf ) flavour symmetry in order to make the s ...

We study the semiclassical measures for the solution of a dissipative Helmholtz equation with a source term concentrated on a bounded submanifold. The potential is not assumed to be non-trapping, but trapped trajectories have to go through the region where the absorption coefficient is positive. In that case, the solution is microlocally written around any point away from the source as a sum (f...

We describe a Schubert like stratification on the Grassmannian of hermitian lagrangian spaces in C ⊕ C which is a natural compactification of the space of hermitian n × n matrices. The closures of the strata define integral cycles and we investigate their intersection theoretic properties. The methods employed are Morse theoretic.

We describe a Schubert like stratification on the Grassmannian of hermitian lagrangian spaces in C ⊕ C which is a natural compactification of the space of hermitian n × n matrices. The closures of the strata define integral cycles and we investigate their intersection theoretic properties. The methods employed are Morse theoretic.

The grassmannian of hermitian lagrangian spaces in C⊕C is natural compactification of the space of hermitian n× n matrices. We describe a Schubert like stratification on this space which has a Morse theoretic origin. We prove that these strata define closed subanalytic currents à la R. Hardt, generating the integral homology of this space, and then we investigate their intersection theoretic pr...

Abstract We study the cohomology of complexes differential, integral and a particular class pseudo-forms on odd symplectic manifolds taking wedge product with form as differential. thus extend result Ševera related results Khudaverdian–Voronov interpreting BV Laplacian acting half-densities an supermanifold. show that classes are in correspondence inequivalent Lagrangian submanifolds they all d...

In this paper, we propose a method of controlling a deburring flexible manipulators. All of the analysis in the paper are under the curved coordinates. The goal of the automated deburring is to remove the burrs at a constant tangential cutting force. Therefore, maintaining a constant contact normal force and constant tangential cutting force is required. The dynamics of both the deburring proce...