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隋允康, 邢誉峰, 张桂明. 基于两点累积信息的原/倒变量展开的对偶优化方法[J]. 力学学报, 1994, 26(6): 699-710. DOI: 10.6052/0459-1879-1994-6-1995-599
引用本文: 隋允康, 邢誉峰, 张桂明. 基于两点累积信息的原/倒变量展开的对偶优化方法[J]. 力学学报, 1994, 26(6): 699-710. DOI: 10.6052/0459-1879-1994-6-1995-599
THE DUAL OPTIMIZATION METHOD BY ORIGINAL/RECIPROCAL VARIABLES’EXPANSION BASED ON CUMULATIVE INFORMATION AI TWO POINTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(6): 699-710. DOI: 10.6052/0459-1879-1994-6-1995-599
Citation: THE DUAL OPTIMIZATION METHOD BY ORIGINAL/RECIPROCAL VARIABLES’EXPANSION BASED ON CUMULATIVE INFORMATION AI TWO POINTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(6): 699-710. DOI: 10.6052/0459-1879-1994-6-1995-599

基于两点累积信息的原/倒变量展开的对偶优化方法

THE DUAL OPTIMIZATION METHOD BY ORIGINAL/RECIPROCAL VARIABLES’EXPANSION BASED ON CUMULATIVE INFORMATION AI TWO POINTS

  • 摘要: 提出和论证了改善保守近似的展开“准则”及其定理;提出了基于两点累积信息的原/倒变量近似、论证了其凸凹性不变的优点;提出了应用它的对偶优化方法及其在桁架优化的实现;提出和证明了有关收敛性定理。

     

    Abstract: In this paper,we propose and prove following results:1.an expansion“criteria”of improving conservative approkimation and corresponding theorms;2.an approkimateEORCT(expansion of original/reciprocal variables based on cumulative informations attwo points)and its advantage of identical convex or concave character with primal function;3.a dual optimization method by using EORCT approximation and numerical collvegencyof its application to truss structures;4.relating convergent theorms of the optimizationmethol

     

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