Smoothing quadratic regularization method for hemivariational inequalities
作者： Yanfang Zhang , Yu-Hong Dai , Weimin Han , Zhibao Li
DOI: 10.1080/02331934.2020.1712393
关键词: Applied mathematics 、 Regularization (mathematics) 、 Smoothing 、 Hemivariational inequality 、 Mathematics 、 Contact mechanics 、 Discretization 、 Quadratic equation
摘要: Hemivariational inequalities arise in nonsmooth mechanics of solid involving nonmonotone and multi-valued mechanical relations. Typically, after the finite-element discretization, they lead to cons...
sci-hub.se 参考文章(24)
Xiaojun Chen, SMOOTHING METHODS FOR COMPLEMENTARITY PROBLEMS AND THEIR APPLICATIONS : A SURVEY Journal of The Operations Research Society of Japan. ,vol. 43, pp. 32- 47 ,(2000) , 10.15807/JORSJ.43.32
M.M. MÄKELÄ, M. MIETTINEN, L. LUKŠAN, J. VLČEK, Comparing Nonsmooth Nonconvex Bundle Methods in Solving Hemivariational Inequalities Journal of Global Optimization. ,vol. 14, pp. 117- 135 ,(1999) , 10.1023/A:1008282922372
Wei Bian, Xiaojun Chen, Linearly Constrained Non-Lipschitz Optimization for Image Restoration Siam Journal on Imaging Sciences. ,vol. 8, pp. 2294- 2322 ,(2015) , 10.1137/140985639
Weimin Han, Stanisław Migórski, Mircea Sofonea, A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems Siam Journal on Mathematical Analysis. ,vol. 46, pp. 3891- 3912 ,(2014) , 10.1137/140963248
Chao Zhang, Xiaojun Chen, Smoothing Projected Gradient Method and Its Application to Stochastic Linear Complementarity Problems Siam Journal on Optimization. ,vol. 20, pp. 627- 649 ,(2009) , 10.1137/070702187
Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint, Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity Mathematical Programming. ,vol. 130, pp. 295- 319 ,(2011) , 10.1007/S10107-009-0337-Y
Chunhui Chen, O. L. Mangasarian, A class of smoothing functions for nonlinear and mixed complementarity problems Computational Optimization and Applications. ,vol. 5, pp. 97- 138 ,(1996) , 10.1007/BF00249052
Yurii Nesterov, B.T. Polyak, Cubic regularization of Newton method and its global performance Mathematical Programming. ,vol. 108, pp. 177- 205 ,(2006) , 10.1007/S10107-006-0706-8
Wei Bian, Xiaojun Chen, Yinyu Ye, Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization Mathematical Programming. ,vol. 149, pp. 301- 327 ,(2015) , 10.1007/S10107-014-0753-5
Wei Bian, Xiaojun Chen, Worst-case complexity of smoothing quadratic regularization methods for non-lipschitzian optimization Siam Journal on Optimization. ,vol. 23, pp. 1718- 1741 ,(2013) , 10.1137/120864908