Componentwise Perturbation Analysis of the Singular Value Decomposition of a Matrix

Componentwise Perturbation Analysis of the Singular Value Decomposition of a Matrix

A rigorous perturbation analysis is presented for the singular value decomposition (SVD) of a real matrix with full column rank. It is proved that the SVD perturbation problem is well posed only when the singular values are distinct. The analysis involves the solution of symmetric coupled systems of...

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Bibliographic Details
Main Authors: Vera Angelova, Petko Petkov
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Applied Sciences
Subjects:
singular value decomposition (SVD)
singular values
singular subspaces
perturbation analysis
componentwise perturbation bounds
Online Access:https://www.mdpi.com/2076-3417/14/4/1417

Internet

https://www.mdpi.com/2076-3417/14/4/1417

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