caa a22 4500 445831065 CHVBK 20180317145315.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10255-011-0065-y doi (NATIONALLICENCE)springer-10.1007/s10255-011-0065-y A new method of moving asymptotes for large-scale linearly equality-constrained minimization [Elektronische Daten] [Hai-jun Wang, Qin Ni, Hao Liu] A new method of moving asymptotes for large-scale minimization subject to linear equality constraints is discussed. In this method, linear equality constraints are deleted with null space technique and the descending direction is obtained by solving a convex separable subproblem of moving asymptotes in each iteration. New rules for controlling the asymptotes parameters are designed and the global convergence of the method under some reasonable conditions is established and proved. The numerical results show that the new method may be capable of processing some large scale problems. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 method of moving asymptotes nationallicence trust region nationallicence linear search nationallicence large scale nationallicence linear equality constraints nationallicence Wang Hai-jun College of Sciences, China University of Mining and Technology, 221008, Xuzhou, China aut Ni Qin College of Sciences, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut Liu Hao College of Sciences, Nanjing University of Technology, 210019, Nanjing, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 317-328 0168-9673 27:2<317 2011 27 10255 https://doi.org/10.1007/s10255-011-0065-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0065-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Hai-jun College of Sciences, China University of Mining and Technology, 221008, Xuzhou, China aut NATIONALLICENCE 700 1- Ni Qin College of Sciences, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut NATIONALLICENCE 700 1- Liu Hao College of Sciences, Nanjing University of Technology, 210019, Nanjing, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 317-328 0168-9673 27:2<317 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer