A generalized Newton method for absolute value equations associated with circular cones
作者： Xin-He Miao , Jiantao Yang , Shenglong Hu
DOI: 10.1016/J.AMC.2015.07.064
关键词:
摘要: … absolute value equations associated with circular cone (CCAVE for short), which is a generalization of the absolute value equations … very generalization of the second-order cone. We …
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Sheng-Long Hu, Zheng-Hai Huang, Qiong Zhang, A generalized Newton method for absolute value equations associated with second order cones Journal of Computational and Applied Mathematics. ,vol. 235, pp. 1490- 1501 ,(2011) , 10.1016/J.CAM.2010.08.036
Jein-Shan Chen, Paul Tseng, An unconstrained smooth minimization reformulation of the second-order cone complementarity problem Mathematical Programming. ,vol. 104, pp. 293- 327 ,(2005) , 10.1007/S10107-005-0617-0
T. W. Hill, A. Ravindran, On programming with absolute-value functions Journal of Optimization Theory and Applications. ,vol. 17, pp. 181- 183 ,(1975) , 10.1007/BF00933924
Masao Fukushima, Zhi-Quan Luo, Paul Tseng, Smoothing Functions for Second-Order-Cone Complementarity Problems Siam Journal on Optimization. ,vol. 12, pp. 436- 460 ,(2002) , 10.1137/S1052623400380365
Jiri Rohn *, A theorem of the alternatives for the equation Ax + B|x| = b Linear & Multilinear Algebra. ,vol. 52, pp. 421- 426 ,(2004) , 10.1080/0308108042000220686
Zheng-Hai Huang, Tie Ni, Smoothing algorithms for complementarity problems over symmetric cones Computational Optimization and Applications. ,vol. 45, pp. 557- 579 ,(2010) , 10.1007/S10589-008-9180-Y
Liqun Qi, Jie Sun, A nonsmooth version of Newton's method Mathematical Programming. ,vol. 58, pp. 353- 367 ,(1993) , 10.1007/BF01581275
Sheng-Long Hu, Zheng-Hai Huang, A note on absolute value equations Optimization Letters. ,vol. 4, pp. 417- 424 ,(2010) , 10.1007/S11590-009-0169-Y
Louis Caccetta, Biao Qu, Guanglu Zhou, A globally and quadratically convergent method for absolute value equations Computational Optimization and Applications. ,vol. 48, pp. 45- 58 ,(2011) , 10.1007/S10589-009-9242-9
O.L. Mangasarian, R.R. Meyer, Absolute value equations Linear Algebra and its Applications. ,vol. 419, pp. 359- 367 ,(2006) , 10.1016/J.LAA.2006.05.004