Hadamard's inequality
id:
hadamard-s-inequality-321-6204179
title:
Hadamard's inequality
text:
In mathematics, Hadamard's inequality is a result first published by Jacques Hadamard in 1893. It is a bound on the determinant of a matrix whose entries are complex numbers in terms of the lengths of its column vectors. In geometrical terms, when restricted to real numbers, it bounds the volume in Euclidean space of n dimensions marked out by n vectors vi for 1 ≤ i ≤ n in terms of the lengths of these vectors ||vi ||. Specifically, Hadamard's inequality states that if N is the matrix having col
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wiki
category slug:
encyclopedia
description:
Theorem
original url:
https://en.wikipedia.org/wiki/Hadamard%27s_inequality
date created:
date modified:
2024-04-09T09:34:04Z
main entity:
{"identifier":"Q1365087","url":"https://www.wikidata.org/entity/Q1365087"}
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13
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