Multiplicative perturbation analysis for QR factorizations

DOI10.3934/naco.2011.1.301zbMath1247.65038OpenAlexW1992132942MaRDI QIDQ428984

Xiao-Wen Chang, Ren-Cang Li

Publication date: 25 June 2012

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2011.1.301

zbMATH Keywords

numerical examplesperturbation analysiscondition numbersQR factorizationmultiplicative perturbationright and left multiplicative perturbation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (11)

Multiplicative perturbation bounds for the block Cholesky downdating problem ⋮ Sensitivity analysis for the SR decomposition ⋮ Two-sided generalized hyperbolic QR factorization and its perturbation analysis ⋮ Euclidean Representation of Low-Rank Matrices and Its Geometric Properties ⋮ Multiplicative perturbation analysis for the generalized Cholesky block downdating problem ⋮ Perturbation bounds of generalized inverses ⋮ Perturbation analysis for the hyperbolic QR factorization ⋮ New multiplicative perturbation bounds of the Moore–Penrose inverse ⋮ Mixed and componentwise condition numbers for matrix decompositions ⋮ Improved rigorous multiplicative perturbation bounds for the generalized Cholesky factorization and the Cholesky-like factorization ⋮ Perturbation analysis for the QX factorization for centrosymmetric matrices

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