Componentwise perturbation analyses for the QR factorization

DOI10.1007/s002110000236zbMath0989.65049MaRDI QIDQ5944670

Christopher C. Paige, Xiao-Wen Chang

Publication date: 4 February 2002

Published in: Numerische Mathematik (Search for Journal in Brave)

zbMATH Keywords

condition numberconditioningorthogonalizationperturbation analysiscolumn pivoting strategyQR factorization

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (7)

Perturbation Analysis of the QR factor R in the context of LLL lattice basis reduction ⋮ New rigorous perturbation bounds for the generalized Cholesky factorization ⋮ Imposing symmetry in augmented linear systems ⋮ Perturbation analysis for the hyperbolic QR factorization ⋮ On the perturbation of the Q‐factor of the QR factorization ⋮ Mixed and componentwise condition numbers for matrix decompositions ⋮ Conditioning of Leverage Scores and Computation by QR Decomposition

Uses Software

• mctoolbox
• testmatrix

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