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A CLASS OF TRUST REGION METHODS FOR LINEAR INEQUALITY CONSTRAINED OPTIMIZATION AND ITS THEORY ANALYSIS Ⅱ. LOCAL CONVERGENCE RATE AND NUMERICAL TESTS
引用本文:XIUNAIHUA. A CLASS OF TRUST REGION METHODS FOR LINEAR INEQUALITY CONSTRAINED OPTIMIZATION AND ITS THEORY ANALYSIS Ⅱ. LOCAL CONVERGENCE RATE AND NUMERICAL TESTS[J]. 高校应用数学学报(英文版), 1995, 10(4): 439-448. DOI: 10.1007/BF02662499
作者姓名:XIUNAIHUA
作者单位:InstituteofAppliedMathematics,AcademiaSinica,Beijing100080
摘    要:
In this paper we prove that a class of trust region methods presented in part Ⅰ is superlinearly convergent. Numerical tests are reported thereafter. Results by solving a set of typical problems selected from literatures have demonstrated that our algorithm is effective.

关 键 词:置信域法 线性不等式 约束最优化 局部收敛性
收稿时间:1993-10-11

A class of trust region methods for linear inequality constrained optimization and its theory analysis II. local convergence rate and numerical tests
Naihua Xiu. A class of trust region methods for linear inequality constrained optimization and its theory analysis II. local convergence rate and numerical tests[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 10(4): 439-448. DOI: 10.1007/BF02662499
Authors:Naihua Xiu
Abstract:
In this paper we prove that a class of trust region methods presented in part I is superlinearly convergent. Numerical tests are reported thereafter. Results by solving a set of typical problems selected from literatures have demonstrated that our algorithm is effective.
Keywords:Linear inequality constrained optimization   trust region mothod   superlinear convergence.
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