时间：4月18日（明天）下午2:00～3:00

主讲人：袁亚湘，中科院院士，前任中国运筹学会理事长（现为学会的名誉理事长）

地点：舜德楼北412演讲厅

Title: Optimality Conditions and a Smoothing Trust Region Newton Method for Non-Lipschitz Optimization

Abstract: Regularized minimization problems with nonconvex, nonsmooth, perhaps non-Lipschitz  penalty functions have attracted considerable attention in recent years, owing to their wide applications in image restoration, signal reconstruction and variable selection. In this talk, we derive affine-scaled second order necessary and sufficient conditions for local minimizers of such minimization problems. Moreover, we propose a global convergent smoothing trust region Newton method which can find a point satisfying the affine-scaled second order necessary optimality condition from any starting point. Numerical examples are given to demonstrate the effectiveness of the optimality conditions and the smoothing trust region Newton method.