Vandermonde matrices on integer nodes

详细信息    查看全文

• 作者：Alfredo Eisinberg ; Giuseppe Franz¨¦ and Paolo Pugliese
• 关键词：Mathematics Subject Classification (1991) ; 65F99 ; 65F35 ; 11Z05
• 刊名：Numerische Mathematik
• 出版年：1998
• 出版时间：July 1998
• 年：1998
• 卷：80
• 期：1
• 页码：75-85
• 全文大小：170 KB

文摘

This paper deals with Vandermonde matrices whose nodes are the first integer numbers. We give an analytic factorization of such matrices and explicit formulas for the entries of their inverses, and explore their computational issues. We also give asymptotic estimates of the Frobenius norm of both and its inverse.