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GLOBAL CONVERGENCE OF UNCONSTRAINED MINIMIZATION METHODS WITH A GENERALIZED BACKTRACKING LINESEARCH PROCEDURE
作者姓名:LIU Guanghui  HAN Jiye
作者单位:Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China
摘    要:GLOBALCONVERGENCEOFUNCONSTRAINEDMINIMIZATIONMETHODSWITHAGENERALIZEDBACKTRACKINGLINESEARCHPROCEDURELIUGuanghui;HANJiye(Institu...


GLOBAL CONVERGENCE OF UNCONSTRAINED MINIMIZATION METHODS WITH A GENERALIZED BACKTRACKING LINESEARCH PROCEDURE
LIU Guanghui,HAN Jiye.GLOBAL CONVERGENCE OF UNCONSTRAINED MINIMIZATION METHODS WITH A GENERALIZED BACKTRACKING LINESEARCH PROCEDURE[J].Journal of Systems Science and Complexity,1995(2).
Authors:LIU Guanghui  HAN Jiye
Abstract:This paper presents a generalized backtracking linesearch procedure,which includes the backtracking linesearch and many other linesearches. Under very mild conditions we show the global convergence of the well-known BFGS algorithm with the generalized backtracking linesearch.
Keywords:Backtracking linesearch  direction selection rule  BFGS method  global convergencet unconstrained optimization
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