Perturbations of Triangular Matrix Factorizations

DOI10.1080/0308108031000069155zbMath1040.65028OpenAlexW2056728100WikidataQ114100625 ScholiaQ114100625MaRDI QIDQ4458109

Aurel Galantai

Publication date: 17 March 2004

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0308108031000069155

zbMATH Keywords

Cholesky factorizationLU-factorizationperturbation boundstriangular factorizations

Mathematics Subject Classification ID

Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (4)

Perturbation bounds for Mostow's decomposition and the bipolar decomposition ⋮ The rank reduction procedure of Egerváry ⋮ A note on the componentwise perturbation bounds of matrix inverse and linear systems ⋮ Perturbation bounds for triangular and full rank factorizations

Uses Software

• mctoolbox

Cites Work

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• Perturbation bounds for the Cholesky and QR factorizations
• Perturbation bounds for the \(LDL^ H\) and LU decompositions
• Sensitivity analyses for factorizations of sparse or structured matrices
• Rounding-error and perturbation bounds for the Cholesky and \(LDL^ T\) factorizations
• Componentwise perturbation bounds for some matrix decompositions
• On the sensitivity of the LU factorization
• Matrix factorizations and their perturbations
• On the perturbation of LU and Cholesky factors
• On the Perturbation of LU, Cholesky, and QR Factorizations
• On the Perturbation of the Cholesky Factorization
• The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
• New perturbation analyses for the Cholesky factorization

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