Perturbation analysis for the hyperbolic QR factorization

DOI10.1016/j.camwa.2012.03.036zbMath1252.65080OpenAlexW2023154399MaRDI QIDQ692208

Hanyu Li, Hua Shao, Hu Yang

Publication date: 4 December 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.03.036

zbMATH Keywords

perturbation analysisrigorous perturbation boundfirst order perturbation boundcomponentwise perturbationhyperbolic QR factorizationnormwise perturbation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35) Orthogonalization in numerical linear algebra (65F25)

Related Items (5)

Perturbation bounds for Mostow's decomposition and the bipolar decomposition ⋮ Perturbation analysis for the symplectic QR factorization ⋮ Stable and Efficient Computation of Generalized Polar Decompositions ⋮ Two-sided generalized hyperbolic QR factorization and its perturbation analysis ⋮ Perturbation analysis for the QX factorization for centrosymmetric matrices

Uses Software

• mctoolbox

Cites Work

• Unnamed Item
• Multiplicative perturbation analysis for QR factorizations
• An analysis of the HR algorithm for computing the eigenvalues of a matrix
• Matrix factorizations and their perturbations
• On the sensitivity of the SR decomposition
• Rounding-error and perturbation bounds for the indefinite QR factorization
• Indefinite QR factorization
• Perturbation Analysis of the QR factor R in the context of LLL lattice basis reduction
• Rigorous Perturbation Bounds of Some Matrix Factorizations
• A Componentwise Perturbation Analysis of the $QR$ Decomposition
• Matrix Analysis
• Perturbation Analyses for the QR Factorization
• J-Orthogonal Matrices: Properties and Generation
• Solving the Indefinite Least Squares Problem by Hyperbolic QR Factorization
• Accuracy and Stability of Numerical Algorithms
• Componentwise perturbation analyses for the QR factorization

This page was built for publication: Perturbation analysis for the hyperbolic QR factorization