| 行列式detVn-(x1,...,xn)的准确值及其应用 |
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| 引用本文： | 王全龙.行列式detVn-(x1,...,xn)的准确值及其应用[J].数学研究及应用,1998,18(4):513-519. |
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| 作者姓名： | 王全龙 |
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| 作者单位： | 山西大学数学系 |
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| 摘 要： | 本文给出行列式Ｖn-(x1,...,xn)的准确值，它是通常的Ｖａｎｄｅｒｍｏｄｅ行列式计算公式的推广，以及它在理论上的一些重要应用．
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| 关 键 词： | 行列式 值 准确值 范德蒙行列式 |
| 收稿时间： | 1995/10/29 0:00:00 |
The Exact Value of det Vn-(x1,...,xn) and Its Applications |
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| Wang Quanlong.The Exact Value of det Vn-(x1,...,xn) and Its Applications[J].Journal of Mathematical Research with Applications,1998,18(4):513-519. |
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| Authors: | Wang Quanlong |
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| Institution: | Dept. of Math.; Shanxi University; Taiyuan 030006 |
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| Abstract: | Suppose that x is a complex number and i is a non negative integer. Define Ni-(x)=|x|i if i is even and Ni-(x)=x|x|i-1 if i is odd. Let Vn-(x1,...,xn) denote the n× n matrix whose (i,j) th entry is Ni-1-(xj) . This paper presents a computation formula for det Vn-(x1,...,xn) , which can be considered as a generalized that of Vandermonde determinant, and some its important theoretical applications. |
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| Keywords: | generalized Vandermonde determinant computation formula generalized Vandermonde matrix rank Tcbebycheff system |
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