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“For a backward-stable evaluation, the standard perturbation bound of numerical linear algebra [32,33] gives a relative forward error”
From Curvature-Corrected Rotary Position Embeddings: An Entropy-Invariant Temperature for Mitigating Numerical-Rank Collapse in Long-Context Attention (2026) · cites this paper as [33]
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Metadata
- Authors
- Trefethen, L. N., & Bau, III
- Affiliations
- University of Oxford (GB)
- Microsoft Corporation
- ORCID
- Trefethen, Lloyd N.
- Venue
- Society for Industrial and Applied Mathematics eBooks
- Published
- 1997-01
- OpenAlex
- W4320800818
- Cited by
- 3,301
- References
- 0
- Citations by year
- 2026: 97 · 2025: 179 · 2024: 148 · 2023: 192 · 2022: 194 · 2021: 186 · 2020: 209 · 2019: 174 · 2018: 179 · 2017: 169 · 2016: 145 · 2015: 150 · 2014: 176 · 2013: 164 · 2012: 150
- FWCI
- 5.17
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Society for Industrial and Applied Mathematics eBooks (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Numerical Methods and Algorithms
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical and Computational Methods
- Keywords
- numerical linear algebra, linear systems, eigenvalue problem, singular value decomposition, least squares, QR decomposition, LU decomposition, Cholesky decomposition, iterative methods
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