| 关于多元函数极值的正定矩阵判定定理的推广 |
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| 引用本文： | 朱张兴.关于多元函数极值的正定矩阵判定定理的推广[J].南京工程学院学报(自然科学版),2011,9(1):9-12. |
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| 作者姓名： | 朱张兴 |
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| 作者单位： | 南京人口管理干部学院基础部，江苏，南京，210042 |
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| 摘 要： | 利用矩阵的分块及正定矩阵来处理特殊多元函数的极值问题,通过降低变量元维数的方法,使求三元或三元以上的特殊多元函数的极值成为切实可行.
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| 关 键 词： | 正定矩阵 不定矩阵 Hesse矩阵 相反定矩阵 变量元维数 |
Application of Positive Definite Matrix to Determine Extremum of Multivariable Function |
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| ZHU Zhang-xing.Application of Positive Definite Matrix to Determine Extremum of Multivariable Function[J].Journal of Nanjing Institute of Technology :Natural Science Edition,2011,9(1):9-12. |
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| Authors: | ZHU Zhang-xing |
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| Institution: | ZHU Zhang-xing (Basic Studies Department,Nanjing College of Population Program Management,Nanjing 210042,China) |
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| Abstract: | This paper uses division of matrix and positive definite matrix to work out extremum of multivariable function. By lowering dimensions of variables,extremums of three or more variable functions can be obtained. |
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| Keywords: | positive definite matrix multivariable function extremum counter positive definite matrix dimensions of variable |
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