| 用二次型求n元二次多项式的最值 |
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| 引用本文： | 周立仁. 用二次型求n元二次多项式的最值[J]. 湖南理工学院学报：自然科学版, 2006, 19(2): 4-6 |
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| 作者姓名： | 周立仁 |
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| 作者单位： | 湖南理工学院数学系 湖南岳阳414006 |
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| 摘 要： | 利用二次型的变量替换给出了两种特殊类型的n元二次多项式的最值求法,进而得出一般的n元二次多项式的最值存在判定与求法,其方法较易掌握,运算更简便。
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| 关 键 词： | 二次型 多项式 最值 矩阵 |
| 文章编号： | 0672-5298（2006）02-0004-03 |
| 收稿时间： | 2005-10-16 |
| 修稿时间： | 2005-10-16 |
Solutions of extremum of n-variables quadratic polynomials by quadratic forms |
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| ZHOU Li-ren. Solutions of extremum of n-variables quadratic polynomials by quadratic forms[J]. Journal of Hunan Institute of Science and Technology, 2006, 19(2): 4-6 |
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| Authors: | ZHOU Li-ren |
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| Abstract: | In this paper,we present solutions of extremum of two special types of n-variables quadratic polynomials by the variable transformation of quadratic form.Furtherly,we obtain decision methods of existence and solutions of general n-variables quadratic polynomials.The thought is simple and the operation is easy. |
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| Keywords: | quadratic form polynomials extremum matrix |
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