Shift matrix
id:
shift-matrix-217-2653399
title:
Shift matrix
text:
In mathematics, a shift matrix is a binary matrix with ones only on the superdiagonal or subdiagonal, and zeroes elsewhere. A shift matrix U with ones on the superdiagonal is an upper shift matrix. The alternative subdiagonal matrix L is unsurprisingly known as a lower shift matrix. The (i, j )th component of U and L are
- U i j = δ i + 1, j, L i j = δ i, j + 1, where δ i j is the Kronecker delta symbol. For example, the 5 × 5 shift matrices are
- U 5 = ( 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
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wiki
category slug:
encyclopedia
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original url:
https://en.wikipedia.org/wiki/Shift_matrix
date created:
2006-11-10T02:49:42Z
date modified:
2024-09-13T02:17:27Z
main entity:
{"identifier":"Q7496248","url":"https://www.wikidata.org/entity/Q7496248"}
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13
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