Entries follow the retained bibliography source. Citation keys keep references stable without relying on older generated bibliography numbering. These links do not establish what a cited source proves.
Bellman1957
- Author
- Richard Bellman
- Title
- Dynamic Programming
- Publisher
- Princeton University Press
- Address
- Princeton, NJ
- Year
- 1957
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Cited in this paper (1 passage)
GolubVanLoan2013
- Author
- Gene H. Golub and Charles F. Van Loan
- Title
- Matrix Computations
- Edition
- Fourth
- Publisher
- Johns Hopkins University Press
- Address
- Baltimore, MD
- Year
- 2013
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Cited in this paper (2 passages)
Higham2002
- Author
- Nicholas J. Higham
- Title
- Accuracy and Stability of Numerical Algorithms
- Edition
- Second
- Publisher
- Society for Industrial and Applied Mathematics
- Address
- Philadelphia, PA
- Year
- 2002
- Doi
- 10.1137/1.9780898718027
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Cited in this paper (3 passages)
Saad2003
- Author
- Yousef Saad
- Title
- Iterative Methods for Sparse Linear Systems
- Edition
- Second
- Publisher
- Society for Industrial and Applied Mathematics
- Address
- Philadelphia, PA
- Year
- 2003
- Doi
- 10.1137/1.9780898718003
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Cited in this paper (2 passages)
Davis2006
- Author
- Timothy A. Davis
- Title
- Direct Methods for Sparse Linear Systems
- Publisher
- Society for Industrial and Applied Mathematics
- Address
- Philadelphia, PA
- Year
- 2006
- Doi
- 10.1137/1.9780898718881
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Cited in this paper (2 passages)
Hager1989
- Author
- William W. Hager
- Title
- Updating the Inverse of a Matrix
- Journal
- SIAM Review
- Volume
- 31
- Number
- 2
- Pages
- 221–239
- Year
- 1989
- Doi
- 10.1137/1031049
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Cited in this paper (2 passages)
EckartYoung1936
- Author
- Carl Eckart and Gale Young
- Title
- The Approximation of One Matrix by Another of Lower Rank
- Journal
- Psychometrika
- Volume
- 1
- Number
- 3
- Pages
- 211–218
- Year
- 1936
- Doi
- 10.1007/BF02288367
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Cited in this paper (2 passages)
Mirsky1960
- Author
- Leon Mirsky
- Title
- Symmetric Gauge Functions and Unitarily Invariant Norms
- Journal
- The Quarterly Journal of Mathematics
- Series
- 2
- Volume
- 11
- Pages
- 50–59
- Year
- 1960
- Doi
- 10.1093/qmath/11.1.50
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Cited in this paper (2 passages)
BunchNielsen1978
- Author
- James R. Bunch and Christopher P. Nielsen
- Title
- Updating the Singular Value Decomposition
- Journal
- Numerische Mathematik
- Volume
- 31
- Pages
- 111–129
- Year
- 1978
- Doi
- 10.1007/BF01397471
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Cited in this paper (2 passages)
GolubKahan1965
- Author
- Gene H. Golub and William Kahan
- Title
- Calculating the Singular Values and Pseudo Inverse of a Matrix
- Journal
- Journal of the Society for Industrial and Applied Mathematics, Series B: Numerical Analysis
- Volume
- 2
- Number
- 2
- Pages
- 205–224
- Year
- 1965
- Doi
- 10.1137/0702016
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Cited in this paper (1 passage)
CoifmanWickerhauser1992
- Author
- Ronald R. Coifman and Mladen Victor Wickerhauser
- Title
- Entropy Based Algorithms for Best Basis Selection
- Journal
- IEEE Transactions on Information Theory
- Volume
- 38
- Number
- 2
- Pages
- 713–718
- Year
- 1992
- Doi
- 10.1109/18.119732
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Cited in this paper (1 passage)
HongKung1981
- Author
- Jia Wei Hong and H. T. Kung
- Title
- I O Complexity: The Red Blue Pebble Game
- Booktitle
- Proceedings of the Thirteenth Annual ACM Symposium on Theory of Computing
- Pages
- 326–333
- Publisher
- Association for Computing Machinery
- Year
- 1981
- Doi
- 10.1145/800076.802486
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Cited in this paper (2 passages)
WilliamsWatermanPatterson2009
- Author
- Samuel Williams and Andrew Waterman and David Patterson
- Title
- Roofline: An Insightful Visual Performance Model for Multicore Architectures
- Journal
- Communications of the ACM
- Volume
- 52
- Number
- 4
- Pages
- 65–76
- Year
- 2009
- Doi
- 10.1145/1498765.1498785
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BallardDemmelHoltzSchwartz2011
- Author
- Grey Ballard and James Demmel and Olga Holtz and Oded Schwartz
- Title
- Minimizing Communication in Numerical Linear Algebra
- Journal
- SIAM Journal on Matrix Analysis and Applications
- Volume
- 32
- Number
- 3
- Pages
- 866–901
- Year
- 2011
- Doi
- 10.1137/090769156
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HalkoMartinssonTropp2011
- Author
- Nathan Halko and Per Gunnar Martinsson and Joel A. Tropp
- Title
- Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions
- Journal
- SIAM Review
- Volume
- 53
- Number
- 2
- Pages
- 217–288
- Year
- 2011
- Doi
- 10.1137/090771806
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MartinssonTropp2020
- Author
- Per Gunnar Martinsson and Joel A. Tropp
- Title
- Randomized Numerical Linear Algebra: Foundations and Algorithms
- Journal
- Acta Numerica
- Volume
- 29
- Pages
- 403–572
- Year
- 2020
- Doi
- 10.1017/S0962492920000021
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Cited in this paper (2 passages)
DavisKahan1970
- Author
- Chandler Davis and William M. Kahan
- Title
- The Rotation of Eigenvectors by a Perturbation. III
- Journal
- SIAM Journal on Numerical Analysis
- Volume
- 7
- Number
- 1
- Pages
- 1–46
- Year
- 1970
- Doi
- 10.1137/0707001
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Cited in this paper (1 passage)
CarsonHigham2018
- Author
- Erin Carson and Nicholas J. Higham
- Title
- Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions
- Journal
- SIAM Journal on Scientific Computing
- Volume
- 40
- Number
- 2
- Pages
- A817–A847
- Year
- 2018
- Doi
- 10.1137/17M1140819
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Cited in this paper (1 passage)
Strassen1969
- Author
- Volker Strassen
- Title
- Gaussian Elimination Is Not Optimal
- Journal
- Numerische Mathematik
- Volume
- 13
- Pages
- 354–356
- Year
- 1969
- Doi
- 10.1007/BF02165411
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Cited in this paper (1 passage)
DemmelHoltzSchwartz2007
- Author
- James Demmel and Ioana Dumitriu and Olga Holtz
- Title
- Fast Linear Algebra Is Stable
- Journal
- Numerische Mathematik
- Volume
- 108
- Number
- 1
- Pages
- 59–91
- Year
- 2007
- Doi
- 10.1007/s00211-007-0114-x
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Cited in this paper (1 passage)
AmbikasaranDarve2013
- Author
- Sivaram Ambikasaran and Eric Darve
- Title
- An O N Log N Fast Direct Solver for Partial Hierarchically Semi Separable Matrices
- Journal
- Journal of Scientific Computing
- Volume
- 57
- Number
- 3
- Pages
- 477–501
- Year
- 2013
- Doi
- 10.1007/s10915-013-9714-z
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CooleyTukey1965
- Author
- James W. Cooley and John W. Tukey
- Title
- An Algorithm for the Machine Calculation of Complex Fourier Series
- Journal
- Mathematics of Computation
- Volume
- 19
- Number
- 90
- Pages
- 297–301
- Year
- 1965
- Doi
- 10.1090/S0025-5718-1965-0178586-1
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Oseledets2011
- Author
- Ivan V. Oseledets
- Title
- Tensor Train Decomposition
- Journal
- SIAM Journal on Scientific Computing
- Volume
- 33
- Number
- 5
- Pages
- 2295–2317
- Year
- 2011
- Doi
- 10.1137/090752286
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FrigoLeisersonProkopRamachandran1999
- Author
- Matteo Frigo and Charles E. Leiserson and Harald Prokop and Sridhar Ramachandran
- Title
- Cache Oblivious Algorithms
- Booktitle
- Proceedings of the Fortieth Annual Symposium on Foundations of Computer Science
- Pages
- 285–297
- Publisher
- IEEE Computer Society
- Year
- 1999
- Doi
- 10.1109/SFFCS.1999.814600
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Cited in this paper (1 passage)
NVIDIA2026
- Author
- NVIDIA Corporation
- Title
- CUDA C++ Programming Guide
- Organization
- NVIDIA Corporation
- Note
- Archive version 12.8.1, Section 3.2.8.7 (CUDA Graphs), accessed 6 October 2026
- Url
- https://docs.nvidia.com/cuda/archive/12.8.1/cuda-c-programming-guide/index.html#cuda-graphs
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IEEE7542019
- Author
- IEEE Standards Association
- Title
- IEEE Standard for Floating Point Arithmetic
- Howpublished
- IEEE Std 754 2019
- Year
- 2019
- Doi
- 10.1109/IEEESTD.2019.8766229
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Cited in this paper (1 passage)
HighamMary2021
- Author
- Higham, Nicholas J. and Mary, Theo
- Title
- Mixed Precision Algorithms in Numerical Linear Algebra
- Year
- 2021
- Note
- MIMS EPrint 2021.20, Sections 3–4; classical real dot-product forward-error model
- Url
- https://eprints.maths.manchester.ac.uk/2841/1/paper_eprint.pdf
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