Singular value
id:
singular-value-181-946128
title:
Singular value
text:
In mathematics, in particular functional analysis, the singular values of a compact operator T : X → Y acting between Hilbert spaces X and Y, are the square roots of the (necessarily non-negative) eigenvalues of the self-adjoint operator T ∗ T (where T ∗ denotes the adjoint of T ). The singular values are non-negative real numbers, usually listed in decreasing order (σ1(T), σ2(T), …). The largest singular value σ1(T) is equal to the operator norm of T (see Min-max theorem). If T acts on Euclidea
brand slug:
wiki
category slug:
encyclopedia
description:
Square roots of the eigenvalues of the self-adjoint operator
original url:
https://en.wikipedia.org/wiki/Singular_value
date created:
2004-06-08T12:35:12Z
date modified:
2024-09-05T17:16:58Z
main entity:
{"identifier":"Q4166054","url":"https://www.wikidata.org/entity/Q4166054"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/e9/Singular_value_decomposition.gif","width":400,"height":330}
fields total:
13
integrity:
16