王全龙.行列式detVn-(x1,...,xn)的准确值及其应用(英文)[J].数学研究及应用,1998,18(4):513~519
行列式detVn-(x1,...,xn)的准确值及其应用(英文)
The Exact Value of det Vn-(x1,...,xn) and Its Applications
投稿时间:1995-10-29  
DOI:10.3770/j.issn:1000-341X.1998.04.006
中文关键词:  
英文关键词:generalized Vandermonde determinant  computation formula  generalized Vandermonde matrix  rank  Tcbebycheff system.
基金项目:
作者单位
王全龙 山西大学数学系 
摘要点击次数: 2182
全文下载次数: 1394
中文摘要:
      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.
英文摘要:
      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.
查看全文  查看/发表评论  下载PDF阅读器