| 减少直接法计算量的探讨 |
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| 引用本文： | 杜太生,肖泽昌.减少直接法计算量的探讨[J].数学季刊,2003,18(3):291-296. |
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| 作者姓名： | 杜太生 肖泽昌 |
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| 作者单位： | Department of Construction Engineering，Nanyang Institute of T echnology，Nanyang 473066，China |
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| 摘 要： | § 1. TheoreticalBasis Manydirectmethodsonlyusetargetfunction(x)andconfinedfunctionGk(x) (k=1 ,2 ,… ,l;listhenumberofconfinedfunction)oftheirfunctionalvaluesateveryknownfeasiblepoints,withoutusingtheconnectionofthesefunctionalvaluesandthefunctionalvaluesatotherfeasiblepointswithintheadjacentdomainsoftheknownfeasiblepoints.Utilizingtheseconnections,weareabletousethefunctionvalueataknownpointtodeterminethefunctionvalueatanotherbetterfeasiblepoint.Bymaintainingcertainfeasiblepointsanddedu…
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| 关 键 词： | 计算量 一般插值 直接优化插值 连通函数 函数值 插值多项式 |
A Discussion about Reducing the Amount of Calculation of Direct Method |
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| DU Tai-sheng,XIAO Ze-chang.A Discussion about Reducing the Amount of Calculation of Direct Method[J].Chinese Quarterly Journal of Mathematics,2003,18(3):291-296. |
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| Authors: | DU Tai-sheng XIAO Ze-chang |
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| Institution: | DepartmentofConstructionEngineering,NanyangInstituteofTechnology,Nanyang473066,China |
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| Abstract: | The general interpolation mentioned in this article provides an effective way for reducing the amount of calculation of direct optimal exploration. It has been testified by real case calculations that the interpolation is not only reliable but also can save the amount of calculation by nearly 36 %. Large amount of calculation and lacking strict theoretical basis has been the two disadvantage of direct method by new. If this defect is not overcome, they will not only seriously affect the application of this meth-od, but also hinder its further research. Based on sufficient calculation practice, this article has made a primary discussion about the theory and method of reducing the amount of calculation, and has achieved some satisfactory results. |
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| Keywords: | general interpolation optimal direct method |
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