Cauchy matrix
id:
cauchy-matrix-165-10368071
title:
Cauchy matrix
text:
In mathematics, a Cauchy matrix, named after Augustin-Louis Cauchy, is an m×n matrix with elements aij in the form
- a i j = 1 x i − y j ; x i − y j ≠ 0, 1 ≤ i ≤ m, 1 ≤ j ≤ n where x i and y j are elements of a field F, and and are injective sequences. The Hilbert matrix is a special case of the Cauchy matrix, where
- x i − y j = i + j − 1. Every submatrix of a Cauchy matrix is itself a Cauchy matrix.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Cauchy_matrix
date created:
2006-11-12T12:36:36Z
date modified:
2024-08-29T09:48:04Z
main entity:
{"identifier":"Q2915997","url":"https://www.wikidata.org/entity/Q2915997"}
image:
fields total:
13
integrity:
14