Hilbert projection theorem
id:
hilbert-projection-theorem-241-8306233
title:
Hilbert projection theorem
text:
In mathematics, the Hilbert projection theorem is a famous result of convex analysis that says that for every vector x in a Hilbert space H and every nonempty closed convex C ⊆ H , there exists a unique vector m ∈ C for which ‖ c − x ‖ is minimized over the vectors c ∈ C ; that is, such that ‖ m − x ‖ ≤ ‖ c − x ‖ for every c ∈ C .
brand slug:
wiki
category slug:
encyclopedia
description:
On closed convex subsets in Hilbert space
original url:
https://en.wikipedia.org/wiki/Hilbert_projection_theorem
date created:
date modified:
2023-08-29T09:21:42Z
main entity:
{"identifier":"Q3527215","url":"https://www.wikidata.org/entity/Q3527215"}
image:
fields total:
13
integrity:
14