Toeplitz matrix
id:
toeplitz-matrix-163-18814294
title:
Toeplitz matrix
text:
In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to right is constant. For instance, the following matrix is a Toeplitz matrix:
- [ a b c d e f a b c d g f a b c h g f a b i h g f a ]. Any n × n matrix A of the form
- A = [ a 0 a − 1 a − 2 ⋯ ⋯ a − a 1 a 0 a − 1 ⋱ ⋮ a 2 a 1 ⋱ ⋱ ⋱ ⋮ ⋮ ⋱ ⋱ ⋱ a − 1 a − 2 ⋮ ⋱ a 1 a 0 a − 1 a n − 1 ⋯ ⋯ a 2 a 1 a 0 ] is a Toeplitz matrix. If the i, j element of A is
brand slug:
wiki
category slug:
encyclopedia
description:
Matrix with shifting rows
original url:
https://en.wikipedia.org/wiki/Toeplitz_matrix
date created:
2002-11-25T11:21:28Z
date modified:
2024-08-29T03:56:20Z
main entity:
{"identifier":"Q849428","url":"https://www.wikidata.org/entity/Q849428"}
image:
fields total:
13
integrity:
15