most citedApproximate volume and integration for basic semi-algebraic sets

92 citations · 94 across the 6 of their papers we have counts for

collaborators

7 papers

math.OC2011★ 1 cited

An inexact perturbed path-following method for Lagrangian decomposition in large-scale separable convex optimization

Quoc Tran Dinh, Ion Necoara, Carlo Savorgnan +1

In this paper, we propose an inexact perturbed path-following algorithm in the framework of Lagrangian dual decomposition for solving large-scale structured convex optimization pro…

math.OC2011

Adjoint-based predictor-corrector sequential convex programming for parametric nonlinear optimization

Q. Tran Dinh, C. Savorgnan, M. Diehl

This paper proposes an algorithmic framework for solving parametric optimization problems which we call adjoint-based predictor-corrector sequential convex programming. After prese…

math.OC2011

Real-Time Sequential Convex Programming for Optimal Control Applications

Tran Dinh Quoc, Carlo Savorgnan, Moritz Diehl

This paper proposes real-time sequential convex programming (RTSCP), a method for solving a sequence of nonlinear optimization problems depending on an online parameter. We provide…

math.OC2011★ 1 cited

Combining Lagrangian Decomposition and Excessive Gap Smoothing Technique for Solving Large-Scale Separable Convex Optimization Problems

Tran Dinh Quoc, Carlo Savorgnan, Moritz Diehl

A new algorithm for solving large-scale convex optimization problems with a separable objective function is proposed. The basic idea is to combine three techniques: Lagrangian dual…

math.OC2008

POCP: a package for polynomial optimal control problems

Didier Henrion, Jean-Bernard Lasserre, Carlo Savorgnan

POCP is a new Matlab package running jointly with GloptiPoly 3 and, optionally, YALMIP. It is aimed at nonlinear optimal control problems for which all the problem data are polynom…

math.OC2008★ 92 cited

Approximate volume and integration for basic semi-algebraic sets

Didier Henrion, Jean Bernard Lasserre, Carlo Savorgnan

Given a basic compact semi-algebraic set $\K\subset\R^n$, we introduce a methodology that generates a sequence converging to the volume of $\K$. This sequence is obtained from opti…