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A GENERALIZED GRADIENT METHOD FOR NONLINEAR CONSTRAINTS AND ITS CONVERGENT PROPERTIES
作者姓名:GAO Ziyou  
作者单位:Northern Jiaotong University,Beijing 100044,China
摘    要:AGENERALIZEDGRADIENTMETHODFORNONLINEARCONSTRAINTSANDITSCONVERGENTPROPERTIESGAOZiyou(NorthernJiaotongUniversity,Beijing100044,...


A GENERALIZED GRADIENT METHOD FORNONLINEAR CONSTRAINTS AND ITS CONVERGENT PROPERTIES
GAO Ziyou,.A GENERALIZED GRADIENT METHOD FORNONLINEAR CONSTRAINTS AND ITS CONVERGENT PROPERTIES[J].Journal of Systems Science and Complexity,1996(2).
Authors:GAO Ziyou  
Abstract:Although many effective algorithms of the gradient projection type have beenproposed for nonlinear programming with nonlinear constraints (see 1-9]), these algorithms must require a regular assumption (i.e. the gradient vectors of the active constraintsset at any feasible point are linearly independent). In this paperr a generalized gradientprojection method is presented for nonlinear programming with nonlinear constraints under degeneracy. And its convergent properties are discussed.
Keywords:Constrained optimization  generalized gradient projection method  degencracy  convergent properties  
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