| 关于ODE法的进一步讨论 |
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| 引用本文： | 周宗放.关于ODE法的进一步讨论[J].重庆邮电学院学报(自然科学版),1995,7(1):74-78. |
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| 作者姓名： | 周宗放 |
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| 作者单位： | 重庆邮电学院学基础部 |
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| 摘 要： | 在文献［１］－［５］中，作者曾讨论了求解具等式和不等式约束的一般非线性规划问题的ＯＤＥ法（即常微分方程法），获得了一系列有价值的结论。本文进一步讨论了ＯＤＥ系数矩阵Ｂ的几种特殊形式，从数值积分角度提出选取矩阵Ｂ的最佳方案，同时还引入了反号方程的思想，沿所建立的ＯＤＥ的轨线寻找该方程组在约束集上的所有奇点。
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| 关 键 词： | 非线性规划 系数矩阵 反号方程 常微分方程法 |
The Discussion about ODE Method |
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| Zhou Zhongfang.The Discussion about ODE Method[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),1995,7(1):74-78. |
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| Authors: | Zhou Zhongfang |
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| Abstract: | In references1] 7],the ODE method of solving the nonlinear programning prolemwith equality and inequality constraints is considered,a series valuable conclusions were ob-tained,Moreover,the discussion about selecting coefficient matrix is coi1tinued in this paper.Fron the viewpoint of numerical calculations,the optimization of matrix B is presented.Itis also introduced that the idea of sign reversal equation for finding almost all asymptoticallystable critical points of the ODE with apprapriate numerical proceduces. |
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| Keywords: | ODE method nonlinear programming coefficial matrix sign reversal equa-tion |
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