On the Influence of Disturbances on the Accuracy of ComputingCorrections in the Krylov Subspace
Rounding errors inevitably occur when performing calculations on a computer. In this paper, we study the impact of these errors on the accuracy of calculating the correction in the Krylov subspace. An estimate of the accuracy of the calculated correction, expressed via perturbations of the original data, is obtained.
Authors
- Valery Ilyin (ORCID: https://orcid.org/0000-0002-3544-6729)
- Виктор Николаевич Бабенко
Institutions
- Kuban State Technological University (RU)
- Institute of Computational Mathematics and Mathematical Geophysics (RU)
Publication Details
- Journal
- Journal of Applied and Industrial Mathematics
- Published
- 2025-11-02
- DOI
- https://doi.org/10.1134/s1990478925010053
- Primary Topic
- Numerical Methods and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00