An exponential approach to highly ill-conditioned linear systems

DOI10.1016/j.aml.2022.108560OpenAlexW4313420844MaRDI QIDQ6101804

Xin-Yuan Wu

Publication date: 20 June 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108560

zbMATH Keywords

stiff problemexponential integratorill-conditioned system

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for ordinary differential equations (65Lxx) Error analysis and interval analysis (65Gxx)

Cites Work

• Iterative refinement enhances the stability of \(QR\) factorization methods for solving linear equations
• Symmetric decomposition of a positive definite matrix
• Solution of real and complex systems of linear equations
• A new iterative refinement with roundoff error analysis
• Exponential integrators
• A note on Wilkinson's iterative refinement of solution with automatic step-size control
• Error bounds from extra-precise iterative refinement
• Extended version with the analysis of dynamic system for iterative refinement of solution
• Iterative Refinement Implies Numerical Stability for Gaussian Elimination
• Iterative refinement for linear systems and LAPACK
• Iterative Refinement in Floating Point
• A special stability problem for linear multistep methods

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