2021•Linear and Multilinear AlgebraRequires access

The largest entry in the inverse of a Vandermonde matrix

Carlo Sanna, Jeffrey O. Shallit, Shun Zhang

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Abstract

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×n matrix [bij]0≤i,j

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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×n matrix [bij]0≤i,j

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Available abstract

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×n matrix [bij]0≤i,j

Key concepts: Vandermonde matrix, Inverse, Mathematics, Matrix (chemical analysis), Combinatorics, Value (mathematics), Statistics, Geometry

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