| 一般广义Vandermonde行列式的直接计算公式 |
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| 引用本文： | 宋旭霞. 一般广义Vandermonde行列式的直接计算公式[J]. 数学的实践与认识, 2012, 42(21): 266-272 |
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| 作者姓名： | 宋旭霞 |
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| 作者单位： | 呼伦贝尔学院数学科学学院,海拉尔,021008 |
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| 基金项目： | 内蒙古自治区高等学校科学研究项目NJZY12233 |
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| 摘 要： | Vandermonde行列式构造独特,是高等代数中一个典型的行列式,在数值计算,数值逼近等领域有着广泛的应用.通过对已得到的几类广义Vandermonde行列式的结果进行变形分析,推广得到了最一般的广义Vandermonde行列式的直接计算公式.
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| 关 键 词： | 广义Vandermonde行列式 直接计算公式 多项式 归纳法 |
Direct calculation formula of Generalized Vandermonde Determinant |
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| SONG Xu-xia. Direct calculation formula of Generalized Vandermonde Determinant[J]. Mathematics in Practice and Theory, 2012, 42(21): 266-272 |
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| Authors: | SONG Xu-xia |
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| Affiliation: | SONG Xu-xia (School of Mathematics Sciences,College of Hulunbeir,Hailaer 021008,Inner Mongolia Autonomous Region, China) |
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| Abstract: | Vandermonde determinant structures quite unique,and it is a typical determinant of advanced algebra.What's more,it has a wide range of applications in numerical calculation, numerical approximation,and other related fields.Based on the deformation analysis of the results of some generalized Vandermonde determinant,this article has promoted it to the direct calculation formula of the most generalized Vandermonde determinant. |
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| Keywords: | generalized vandermonde determinant direct calculation formula polynomial induction |
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