基于BFGS的中俄茶叶进出口量数学预测模型
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摘要
基于BFGS算法,建立了中国茶叶出口量与俄罗斯茶叶进口量之间关系的数学预测模型,将模型预测数据与真实数据进行对比,发现该算法收敛速度快、稳定性强,预测结果准确.
Based on BFGS algorithm, models between China tea exports and Russia tea imports were established. Through the comparison and analysis of the fitting between the predictive data and the real data, it was found that the algorithm was effective, and had the advantages of fast convergence, strong stability and accurate prediction results.
Based on BFGS algorithm, models between China tea exports and Russia tea imports were established. Through the comparison and analysis of the fitting between the predictive data and the real data, it was found that the algorithm was effective, and had the advantages of fast convergence, strong stability and accurate prediction results.
引文
[1] WEI ZENGXING,YU GAOHANG,YUAN GONGLIN,et al.The superlinear convergence of a modified BFGS-type method for unconstrained optimization[J].Computational Optimization and Applications,2004,29(3),315-322.
[2] BYRD R H,NOCEDAL J,SCHNABEL R B.Representations of quasi-Newton matrices and their use in limited memory methods[J].Mathematical Programming,1994,63(1-3):129-156.
[3] YUAN YAXIANG.A modified BFGS algorithm for unconstrained optimization[J].IMA Journal of Numerical Analysis,1991,11(3):325-332.
[4] BYRD R H,NOCEDAL J,YUAN Y X.Global convergence of a cass of quasi-Newton methods on convex problems[J].SIAM Journal on Numerical Analysis,1987,24(5):1 171-1 190.
[5] 黄海,林穗华.几种修正拟牛顿法的比较[J].广西民族师范学院学报,2011,28(3):8-11.
[6] LIU D C,NODEDAL J.On the limited memory BFGS method for large scale optimization[J].Mathematical Programming,1989,45(1-3):503-528.
[7] DAI Y H.A perfect example for the BFGS method[J].Mathematical Programming,2013,138(1-2):501-530.
[8] 颜盈盈,刘学忠.中国茶叶出口结构分析及对策建议[J].林业经济,2013 (5):49-53.
[2] BYRD R H,NOCEDAL J,SCHNABEL R B.Representations of quasi-Newton matrices and their use in limited memory methods[J].Mathematical Programming,1994,63(1-3):129-156.
[3] YUAN YAXIANG.A modified BFGS algorithm for unconstrained optimization[J].IMA Journal of Numerical Analysis,1991,11(3):325-332.
[4] BYRD R H,NOCEDAL J,YUAN Y X.Global convergence of a cass of quasi-Newton methods on convex problems[J].SIAM Journal on Numerical Analysis,1987,24(5):1 171-1 190.
[5] 黄海,林穗华.几种修正拟牛顿法的比较[J].广西民族师范学院学报,2011,28(3):8-11.
[6] LIU D C,NODEDAL J.On the limited memory BFGS method for large scale optimization[J].Mathematical Programming,1989,45(1-3):503-528.
[7] DAI Y H.A perfect example for the BFGS method[J].Mathematical Programming,2013,138(1-2):501-530.
[8] 颜盈盈,刘学忠.中国茶叶出口结构分析及对策建议[J].林业经济,2013 (5):49-53.