Singular value decomposition

id: singular-value-decomposition-180-4246465
title: Singular value decomposition
text: In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix into a rotation, followed by a rescaling followed by another rotation. It generalizes the eigendecomposition of a square normal matrix with an orthonormal eigenbasis to any ⁠ m × n ⁠ matrix. It is related to the polar decomposition. Specifically, the singular value decomposition of an m × n complex matrix ⁠ M ⁠ is a factorization of the form M = U Σ V ∗, where ⁠ U ⁠ is an ⁠ m × m ⁠ complex un
brand slug: wiki
category slug: encyclopedia
description: Matrix decomposition
original url: https://en.wikipedia.org/wiki/Singular_value_decomposition
date created: 2002-10-30T01:03:36Z
date modified: 2024-09-05T07:26:14Z
main entity: {"identifier":"Q420904","url":"https://www.wikidata.org/entity/Q420904"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/bb/Singular-Value-Decomposition.svg","width":512,"height":463}
fields total: 13
integrity: 16

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