| 关于正交配置表构造中若干问题的探讨 |
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| 引用本文： | 王中来,叶长,李叶桃,王团结,龚琦.关于正交配置表构造中若干问题的探讨[J].福州大学学报(自然科学版),1999,27(1):101-106. |
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| 作者姓名： | 王中来 叶长 李叶桃 王团结 龚琦 |
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| 作者单位： | 福州大学生物工程研究所，福州大学化学工程系 |
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| 基金项目： | 国家教委留学回国人员科研基金,福建省自然科学基金 |
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| 摘 要： | 对构造正交配置表的矩阵法和非矩阵法作了比较研究，结果表明非矩阵法在构造非对称性问题正交配置表时比矩阵法更简便、可靠、精确，并指出Ｍｉｃｈｅｌｓｅｎ和Ｖｉｌａｄｓｅｎ在讨论用非矩阵法构造对称性问题正交配置表时所存在的问题．同时讨论了正交配置矩阵所具有的各种特征．
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| 关 键 词： | 正交配置法 正交多项式 对称性几何体 非对称性平面体 |
Discussion on Construction of Orthogonal Collocation Tables |
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| Wang Zhonglai,Ye Changshen,Li Yetao,Wang Tuanjie,Gong Qi.Discussion on Construction of Orthogonal Collocation Tables[J].Journal of Fuzhou University(Natural Science Edition),1999,27(1):101-106. |
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| Authors: | Wang Zhonglai Ye Changshen Li Yetao Wang Tuanjie Gong Qi |
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| Institution: | 2 ( 1Institute of Biotechnology, Fuzhou University, Fuzhou, 350002) ( 2Department of Chemical Engineering, Fuzhou University, Fuzhou, 350002) |
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| Abstract: | This paper focuses on the qualitative and quantitative comparison of the matrix method with the non-matrix method. It is pointed out that the non-matrix method is more convenient,more reliable,and more precise than the matrix method in construction of orthogonal collocation tables for unsymmetrical plane. In the meantime,some mistakes in the M-V method on the construction of symmetric orthogonal collocation are pointed out. The features of all kinds of orthogonal collocation matrixes are summarized. |
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| Keywords: | orthogonal collocation method orthogonal polynomials symmetrical geometries unsymmetrical plane |
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