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一个高维约束非线性最优化问题的直接法及其应用

A Direct Method and Its Application to Higher Dimensional Non-linear Problem of Optimization
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摘要 最优化计算方法的研究虽然发展很快,但对于工程设计中遇到的典型的多维非线性约束最优化问题,却缺乏一些设计工作者所期望的简便有效的方法,因对这些问题,人们一般难于利用其解析性质.现有的几种直接法均存在收敛慢的问题,将其运用于高维的情况则变得十分无效,针对上述情况国,作者提出了“严格单纯形”法,用以求解一个建筑群的优化数学模型获得了成功. The research on the computational method of optimization develops fast, but a convenient and efficient method which engineers need very much is lack for some practical optimum problem with higher dimension, beingnon-linear and subject to non-linear constraints. The main reason is that onecan hardly utilize its analitic characteristics. A few direct methods being used have a problem of converging slowly and would be very inefficient. So, the authors of this paper brought up a method of 'strict simplex' and successed to solve a complex optimum model of a structure group.
出处 《成都科技大学学报》 CSCD 1992年第4期65-72,92,共9页
关键词 约束 非线性 最优化问题 高维 constrained non-linear optimum problem higer dimention complex method strict simplex method
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参考文献2

  • 1陈家远,水力发电,1987年,6期
  • 2胡晓东,Int Water Power Dam Construction

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