| 连续化方法求解一般非凸规划的K-K-T点 |
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| 引用本文： | 林正华,宋岱才,赵立芹. 连续化方法求解一般非凸规划的K-K-T点[J]. 高校应用数学学报(A辑), 2002, 17(2): 217-224 |
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| 作者姓名： | 林正华 宋岱才 赵立芹 |
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| 作者单位： | 1. 吉林大学,数学系,吉林长春,130023
2. 抚顺石油学院,应用数学教学室,辽宁抚顺,113001 |
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| 摘 要： | 对较一般的非凸规划的K－K－T方程组，构造了一种连续化内点同伦，并且分析了收敛于此类规划K－K－T点的同伦解曲线及其求解方法，数值结果亦图示了这些理论结果，值得一提的是这种方法削弱了冯果忱等人（1998）的假设条件－外法锥条件。
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| 关 键 词： | 非凸规划 连续化方法 弱法锥条件 K－K－T点 |
| 文章编号： | 1000-4424(2002)02-0217-08 |
| 修稿时间： | 2000-12-22 |
A CONTINUATION METHOD FOR SOLVING THE K-K-T POINTS OF GENERAL NONCONVEX PROGRAMMING PROBLEMS |
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| LIN Zheng-hua+,SONG Dai-cai+,ZHAO Li-qin+. A CONTINUATION METHOD FOR SOLVING THE K-K-T POINTS OF GENERAL NONCONVEX PROGRAMMING PROBLEMS[J]. Applied Mathematics A Journal of Chinese Universities, 2002, 17(2): 217-224 |
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| Authors: | LIN Zheng-hua+ SONG Dai-cai+ ZHAO Li-qin+ |
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| Affiliation: | LIN Zheng-hua+1,SONG Dai-cai+2,ZHAO Li-qin+1 |
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| Abstract: | The paper consturcts an interior-point homotopy method for solving the K-K-T points of general nonconvex programming problems,and proves the convergence under very mild conditions.In the last section,the view points are also supported by some numerical results.It needs to point out that the conditions of this paper weaken the ones in the paper of Feng et al.in 1998. |
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| Keywords: | Nonconvex Programming Continuation Method Weak Normal Cone Condition K-K-T Points |
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