Rank Degeneracy

Name: Rank Degeneracy
Creator: Stewart, G. W.
Keywords: QR decomposition, Vector spaces, linear dependence, rank, lineability, rank, inverse, Other matrix algorithms, singular value decomposition, perturbed matrix, 0101 mathematics, 01 natural sciences

Stewart, G. W.

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SIAM Journal on Scientific and Statistical Computing

Article . 1984 . Peer-reviewed

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Rank Degeneracy

Rank degeneracy

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1984 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Scientific and Statistical Computing, volume 5, pages 403-413 (issn: 0196-5204, eissn: 2168-3417,

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Authors: Stewart, G. W.;

doi: 10.1137/0905030

Rank Degeneracy

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Abstract

The paper surveys some of the more commonly used methods for approximating the rank of a matrix X, with particular attention to the effects of errors. It is supposed that X itself cannot be observed and only a perturbed matrix \(X=X+E\) is given.

Keywords

QR decomposition, Vector spaces, linear dependence, rank, lineability, rank, inverse, Other matrix algorithms, singular value decomposition, perturbed matrix

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