Vandermonde matrix
id:
vandermonde-matrix-189-8417682
title:
Vandermonde matrix
text:
In linear algebra, a Vandermonde matrix, named after Alexandre-Théophile Vandermonde, is a matrix with the terms of a geometric progression in each row: an × matrix
- V = V = [ 1 x 0 x 0 2 … x 0 n 1 x 1 x 1 2 … x 1 n 1 x 2 x 2 2 … x 2 n ⋮ ⋮ ⋮ ⋱ ⋮ 1 x m x m 2 … x m n ] with entries V i, j = x i j, the jth power of the number x i, for all zero-based indices i and j. Some authors define the Vandermonde matrix as the transpose of the above matrix. The determinant of a square Vandermonde matrix is
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical concept
original url:
https://en.wikipedia.org/wiki/Vandermonde_matrix
date created:
2003-10-24T12:32:23Z
date modified:
2024-09-09T08:02:58Z
main entity:
{"identifier":"Q579544","url":"https://www.wikidata.org/entity/Q579544"}
image:
fields total:
13
integrity:
15