caa a22 4500 463169530 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10957-007-9287-9 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9287-9 Extended LQP Method for Monotone Nonlinear Complementarity Problems [Elektronische Daten] [A. Bnouhachem, X. Yuan] To solve nonlinear complementarity problems (NCP), the logarithmic-quadratic proximal (LQP) method solves a system of nonlinear equations at each iteration. In this paper, the iterates generated by the original LQP method are extended by explicit formulas and thus an extended LQP method is presented. It is proved theoretically that the lower bound of the progress obtained by the extended LQP method is greater than that by the original LQP method. Preliminary numerical results are provided to verify the theoretical assertions and the effectiveness of both the original and the extended LQP method. Springer Science+Business Media, LLC, 2007 Logarithmic-quadratic proximal method nationallicence Nonlinear complementarity problems nationallicence Bnouhachem A. School of Management Science and Engineering, Nanjing University, 210093, Nanjing, China aut Yuan X. Department of Management Science, Antai College of Economics and Management, Shanghai Jiao Tong University, 200052, Shanghai, China aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/3(2007-12-01), 343-353 0022-3239 135:3<343 2007 135 10957 https://doi.org/10.1007/s10957-007-9287-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9287-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bnouhachem A. School of Management Science and Engineering, Nanjing University, 210093, Nanjing, China aut NATIONALLICENCE 700 1- Yuan X. Department of Management Science, Antai College of Economics and Management, Shanghai Jiao Tong University, 200052, Shanghai, China aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/3(2007-12-01), 343-353 0022-3239 135:3<343 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer