The largest entry in the inverse of a Vandermonde matrix

被引：1

作者：

Sanna, Carlo ^{[1
]}

Shallit, Jeffrey ^{[2
]}

Zhang, Shun ^{[2
]}

机构：

[1] Politecnico Torino, Dept Math Sci, Turin, Italy

[2] Univ Waterloo, Sch Comp Sci, Waterloo, ON, Canada

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 20期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Vandermondematrix; inverse;

D O I：

10.1080/03081087.2021.1922337

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the size of the largest entry (in absolute value) in the inverse of certain Vandermonde matrices. More precisely, for every real b > 1, let Mb(n) be the maximum of the absolute values of the entries of the inverse of the n x n matrix [b(ij)](0 <= i,j<n). We prove that lim(n ->+infinity) M-b(n) exists, and we provide some formulas for it.

引用

页码：5634 / 5641

页数：8

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