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Alternative Theorems and Sufficient Conditions of Global Convergence for a Class of Feasible Direction Algorithms
引用本文:ZHAO Yunbin Chongqing Industry and Management Institute,Chongqing 630050,China. Alternative Theorems and Sufficient Conditions of Global Convergence for a Class of Feasible Direction Algorithms[J]. 系统科学与系统工程学报(英文版), 1993, 0(3)
作者姓名:ZHAO Yunbin Chongqing Industry and Management Institute  Chongqing 630050  China
作者单位:ZHAO Yunbin Chongqing Industry and Management Institute,Chongqing 630050,China
摘    要:In this paper,two alternative theorems which differ from Theorem 10.2.6 in [1] andTheorem 1 in [3] are presented for a class of feasible direction algorithms.On the basis of alternativetheorems,furthermore,two sufficient conditions of global convergence of this class of algorithms areobtained.


Alternative Theorems and Sufficient Conditions of Global Convergence for a Class of Feasible Direction Algorithms
ZHAO Yunbin Chongqing Industry and Management Institute,Chongqing ,China. Alternative Theorems and Sufficient Conditions of Global Convergence for a Class of Feasible Direction Algorithms[J]. Journal of Systems Science and Systems Engineering, 1993, 0(3)
Authors:ZHAO Yunbin Chongqing Industry  Management Institute  Chongqing   China
Affiliation:ZHAO Yunbin Chongqing Industry and Management Institute,Chongqing 630050,China
Abstract:In this paper, two alternative theorems which differ from Theorem 10.2.6 in [1] and Theorem 1 in [3] are presented for a class of feasible direction algorithms. On the basis of alternative theorems, furthermore, two sufficient conditions of global convergence of this class of algorithms are obtained.
Keywords:alternative theorem   feasible direction algorithm   sufficiently certain function   global convergence   gradient projection.
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