Sensitivity analysis for the block Cholesky downdating problem
DOI10.1080/00207160.2019.1613528zbMath1483.65063OpenAlexW2943603151WikidataQ127936050 ScholiaQ127936050MaRDI QIDQ5030641
Hanyu Li, Aamir Farooq, Mahvish Samar, Chun-Lai Mu
Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1613528
Banach fixed point theoremLyapunov majorant functionrigorous perturbation boundmixed and componentwise condition numbersnormwise condition numberprobabilistic spectral norm estimatorblock Cholesky downdating problemSSCE method
Factorization of matrices (15A23) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05) Conditioning of matrices (15A12)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sensitivity analysis for the symplectic QR factorization
- Perturbation analysis for block downdating of the generalized Cholesky factorization
- Condition numbers for the nonlinear matrix equation and their statistical estimation
- The generalized Cholesky factorization method for saddle point problems
- Perturbation analysis for block downdating of a Cholesky decomposition
- Condition numbers of algebraic Riccati equations in the Frobenius norm
- On the partial condition numbers for the indefinite least squares problem
- Partial condition number for the equality constrained linear least squares problem
- A perturbation analysis of the problem of downdating a Cholesky factorization
- Probabilistic upper bounds for the matrix two-norm
- Perturbation analysis for the periodic generalized coupled Sylvester equation
- Scaling for Numerical Stability in Gaussian Elimination
- The Effects of Rounding Error on an Algorithm for Downdating a Cholesky Factorization
- Small-Sample Statistical Condition Estimates for General Matrix Functions
- Accurate Downdating of Least Squares Solutions
- Perturbation Analyses for the QR Factorization
- Perturbation Analyses for the Cholesky Downdating Problem
- Statistical Condition Estimation for Linear Systems
- A Note on Downdating the Cholesky Factorization
- Accuracy and Stability of Numerical Algorithms
- On the condition numbers associated with the polar factorization of a matrix
- Perturbation Analysis of the Cholesky Downdating and QR Updating Problems
- Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations
- A note on the sensitivity analysis for the symplectic QR factorization
- New perturbation bounds and condition numbers for the hyperbolic QR factorization
- Improved rigorous perturbation bounds for the LU and QR factorizations
- On condition numbers for the canonical generalized polar decompostion of real matrices
- New rigorous perturbation bounds for the Cholesky-like factorization of skew-symmetric matrix