On the perturbation of the Q‐factor of the QR factorization

DOI10.1002/nla.787zbMath1274.65119OpenAlexW2166356498MaRDI QIDQ4922269

Xiao-Wen Chang

Publication date: 29 May 2013

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.787

zbMATH Keywords

perturbation theorycondition numbersQR factorizationMoore-Penrose pseudo-inverseadditive perturbation

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical computation of matrix norms, conditioning, scaling (65F35) Orthogonalization in numerical linear algebra (65F25)

Related Items (4)

Projected Shadowing-Based Data Assimilation ⋮ Mixed and componentwise condition numbers for matrix decompositions ⋮ Conditioning of Leverage Scores and Computation by QR Decomposition ⋮ Perturbation analysis for the QX factorization for centrosymmetric matrices

Uses Software

• mctoolbox

Cites Work

• Unnamed Item
• Perturbation bounds for the Cholesky and QR factorizations
• Componentwise perturbation bounds for some matrix decompositions
• Matrix factorizations and their perturbations
• On perturbation bounds for the QR factorization
• Condition numbers and equilibration of matrices
• Rigorous Perturbation Bounds of Some Matrix Factorizations
• A Componentwise Perturbation Analysis of the $QR$ Decomposition
• On the Perturbation of LU, Cholesky, and QR Factorizations
• Perturbation Bounds for the $QR$ Factorization of a Matrix
• Variation of the Unitary Part of a Matrix
• Perturbation Analyses for the QR Factorization
• Componentwise perturbation analyses for the QR factorization

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