"14072","5","archive","5",,,"disk0/00/01/40/72","2016-12-06 10:00:12","2021-08-27 17:28:12","2016-12-06 10:00:12","article",,,"show","","","2",,,"Gilbert","J.-C.","","","AL0691","","",,,,,"","","On the local and global convergence of a reduced Quasi-Newton method1","pub","","","prog_sds",,,"In optimization in Rn with m nonlinear equality constraints, we study the local convergence of reduced quasi-newton methods, in which the updated matrix is of order n–m. Furthermore, we give necessary and sufficient conditions for superlinear convergence (in one step) and we introduce a device to globalize the local algorithm. It consists in determining a step along an arc in order to decrease an exact penalty function and we give conditions so that asymptotically the step-size will be equal to one. © 1989, Taylor & Francis Group, LLC.","1989","published","Taylor and Francis Ltd.","10.1080/02331938908843462",,,,,,"",,,,,"",,,,,"",,,,,"","",,"",,,,,,,"1903","none",,,,"Optimization","20","4",,"421-450",,,,,,,,,,,"TRUE",,"0233-1934",,,,,,"","","","",,"","",,,,,,,"",,,,,"FALSE",,,"info:eu-repo/semantics/article",