Multiplicative perturbation bounds for the block Cholesky downdating problem

DOI10.1080/00207160.2019.1699072zbMath1483.65072arXiv2106.05444OpenAlexW2993615194WikidataQ126669153 ScholiaQ126669153MaRDI QIDQ5031176

Mahvish Samar, Aamir Farooq

Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.05444

zbMATH Keywords

Banach fixed point theoremmultiplicative perturbationblock Cholesky downdating problemLyapunov majorant fuctionmatrix-equation approachrigorous perturbation bounds

Mathematics Subject Classification ID

Numerical linear algebra (65F99)

Related Items (3)

Sensitivity analysis for the generalized Cholesky block downdating problem ⋮ Multiplicative perturbation analysis for the generalized Cholesky block downdating problem ⋮ Perturbation analysis for the Takagi vector matrix

Cites Work

• Sensitivity analysis for the symplectic QR factorization
• Multiplicative perturbation analysis for QR factorizations
• Perturbation analysis for block downdating of the generalized Cholesky factorization
• Perturbation analysis for block downdating of a Cholesky decomposition
• New rigorous perturbation bounds for the generalized Cholesky factorization
• A perturbation analysis of the problem of downdating a Cholesky factorization
• The Effects of Rounding Error on an Algorithm for Downdating a Cholesky Factorization
• Accurate Downdating of Least Squares Solutions
• Perturbation Analyses for the QR Factorization
• Perturbation Analyses for the Cholesky Downdating Problem
• A Note on Downdating the Cholesky Factorization
• Perturbation Analysis of the Cholesky Downdating and QR Updating Problems
• Sensitivity analysis for the block Cholesky downdating problem
• Improved rigorous multiplicative perturbation bounds for the generalized Cholesky factorization and the Cholesky-like factorization
• Improved rigorous perturbation bounds for the LU and QR factorizations
• Mixed and componentwise condition numbers for matrix decompositions
• New rigorous perturbation bounds for the Cholesky-like factorization of skew-symmetric matrix
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multiplicative perturbation bounds for the block Cholesky downdating problem