Canonical Primal-Dual Method for Solving Non-convex Minimization Problems

نویسندگان

  • Changzhi Wu
  • Chaojie Li
  • David Yang Gao
چکیده

A new primal-dual algorithm is presented for solving a class of non-convex minimization problems. This algorithm is based on canonical duality theory such that the original non-convex minimization problem is first reformulated as a convex-concave saddle point optimization problem, which is then solved by a quadratically perturbed primal-dual method. Numerical examples are illustrated. Comparing with the existing results, the proposed algorithm can achieve better performance. Subject Class: 49N15, 49M37, 90C26, 90C20

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Canonical Dual Approach to Solving 0-1 Quadratic Programming Problems

By using the canonical dual transformation developed recently, we derive a pair of canonical dual problems for 0-1 quadratic programming problems in both minimization and maximization form. Regardless convexity, when the canonical duals are solvable, no duality gap exists between the primal and corresponding dual problems. Both global and local optimality conditions are given. An algorithm is p...

متن کامل

Canonical Dual Transformation Method and Generalized Triality Theory in Nonsmooth Global Optimization

This paper presents, within a unified framework, a potentially powerful canonical dual transformation method and associated generalized duality theory in nonsmooth global optimization. It is shown that by the use of this method, many nonsmooth/nonconvex constrained primal problems in Rn can be reformulated into certain smooth/convex unconstrained dual problems in Rm with m 6 n and without duali...

متن کامل

Sufficient Conditions and Perfect Duality in Nonconvex Minimization with Inequality Constraints

This paper presents a duality theory for solving concave minimization problem and nonconvex quadratic programming problem subjected to nonlinear inequality constraints. By use of the canonical dual transformation developed recently, two canonical dual problems are formulated, respectively. These two dual problems are perfectly dual to the primal problems with zero duality gap. It is proved that...

متن کامل

An Interior Point Algorithm for Solving Convex Quadratic Semidefinite Optimization Problems Using a New Kernel Function

In this paper, we consider convex quadratic semidefinite optimization problems and provide a primal-dual Interior Point Method (IPM) based on a new kernel function with a trigonometric barrier term. Iteration complexity of the algorithm is analyzed using some easy to check and mild conditions. Although our proposed kernel function is neither a Self-Regular (SR) fun...

متن کامل

Canonical primal-dual algorithm for solving fourth-order polynomial minimization problems

This paper focuses on implementation of a general canonical primal–dual algorithm for solving a class of fourth-order polynomial minimization problems. A critical issue in the canonical duality theory has been addressed, i.e., in the case that the canonical dual problem has no interior critical point in its feasible space Sa , a quadratic perturbation method is introduced to recover the global ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • CoRR

دوره abs/1212.6492  شماره 

صفحات  -

تاریخ انتشار 2012