Výsledky vyhledávání - Clasificación AMS::65 Numerical analysis::65Y Computer aspects of numerical algorithms*

AMS Without 4-Wise Independence on Product Domains

Autoři: Braverman, Vladimir Chung, Kai-Min Liu, Zhenming a další

Přispěvatelé: Braverman, Vladimir Chung, Kai-Min Liu, Zhenming a další

Zdroj: 27th International Symposium on Theoretical Aspects of Computer Science - STACS 2010
https://hal.inria.fr/inria-00455776
27th International Symposium on Theoretical Aspects of Computer Science - STACS 2010, Inria Nancy Grand Est & Loria, Mar 2010, Nancy, France. pp.119-130

Témata: Data Streams, Randomized Algorithms, Streaming Algorithms, Independence, Sketches, ACM: F.: Theory of Computation/F.2: ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY/F.2.1: Numerical Algorithms and Problems, ACM: G.: Mathematics of Computing/G.3: PROBABILITY AND STATISTICS, [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS]

Geografické téma: Nancy, France

Relation: inria-00455776; https://hal.inria.fr/inria-00455776; https://hal.inria.fr/inria-00455776/document; https://hal.inria.fr/inria-00455776/file/braverman.pdf

Dostupnost: https://hal.inria.fr/inria-00455776
https://hal.inria.fr/inria-00455776/document
https://hal.inria.fr/inria-00455776/file/braverman.pdf

Symplectic multi-time step parareal algorithms applied to molecular dynamics

Autoři: Audouze, Christophe Massot, Marc Volz, Sebastian a další

Přispěvatelé: Audouze, Christophe Massot, Marc Volz, Sebastian a další

Zdroj: https://hal.science/hal-00358459 ; 2009.

Témata: temporal parallelization, parareal algorithm, ODE integration, multi-time stepping, symplectic integration, molecular dynamics, AMS classifications: 65Y05, 65L06, 65P10, 65Y20, 65Z05, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

Dostupnost: https://hal.science/hal-00358459
https://hal.science/hal-00358459/document
https://hal.science/hal-00358459/file/CAMMSV_moleculardynamics.pdf

On soft errors in the conjugate gradient method: sensitivity and robust numerical detection

Autoři: Agullo, Emmanuel Cools, Siegfried Fatih-Yetkin, Emrullah a další

Přispěvatelé: Agullo, Emmanuel Cools, Siegfried Fatih-Yetkin, Emrullah a další

Zdroj: ISSN: 1064-8275 ; SIAM Journal on Scientific Computing ; https://inria.hal.science/hal-03022845 ; SIAM Journal on Scientific Computing, 2020, 42 (6), ⟨10.1137/18M122858X⟩.

Témata: Numerical detection, Bit-flip, Soft errors, Conjugate gradient, AMS subject classifications.15A06, 65F10, 65N12, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]

Relation: info:eu-repo/grantAgreement/EC/FP7/610741/EU/EXascale Algorithms and Advanced Computational Techniques/EXA2CT

Dostupnost: https://inria.hal.science/hal-03022845
https://inria.hal.science/hal-03022845/document
https://inria.hal.science/hal-03022845/file/siam_paper_final.pdf
https://doi.org/10.1137/18M122858X

Improving the Complexity of Block Low-Rank Factorizations with Fast Matrix Arithmetic

Autoři: Jeannerod, Claude-Pierre Mary, Théo Pernet, Clément a další

Přispěvatelé: Jeannerod, Claude-Pierre Mary, Théo Pernet, Clément a další

Zdroj: ISSN: 0895-4798.

Témata: linear algebra, block low-rank matrices, Fast matrix arithmetic, AMS subject classifications 15A23, 65F05, [MATH]Mathematics [math], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO]Computer Science [cs], [INFO.INFO-CC]Computer Science [cs]/Computational Complexity [cs.CC], [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]

Dostupnost: https://inria.hal.science/hal-02008666
https://inria.hal.science/hal-02008666v4/document
https://inria.hal.science/hal-02008666v4/file/FastBLR.pdf
https://doi.org/10.1137/19M1255628

Parallel Implementation of Interval Matrix Multiplication

Autoři: Revol, Nathalie Théveny, Philippe Arithmetic and Computing (ARIC) a další

Přispěvatelé: Revol, Nathalie Théveny, Philippe Arithmetic and Computing (ARIC) a další

Zdroj: ISSN: 1385-3139.

Témata: interval arithmetic, interval matrix multiplication, BLAS, gemm, parallel computer, multicore, AMS subject classification: 65Y05: Parallel computations, 65G40: General methods in interval analysis, 65F30: Other matrix algorithms, 65-04: Explicit machine computations and programs, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.3: Numerical Linear Algebra, ACM: G.: Mathematics of Computing/G.4: MATHEMATICAL SOFTWARE/G.4.4: Parallel and vector implementations, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.3: Numerical Linear Algebra/G.1.3.3: Error analysis, [INFO.INFO-AO]Computer Science [cs]/Computer Arithmetic

Dostupnost: https://inria.hal.science/hal-00801890
https://inria.hal.science/hal-00801890v2/document
https://inria.hal.science/hal-00801890v2/file/parallel-igemm.pdf

Nonconvex optimization for 3D point source localization using a rotating point spread function

Autoři: Wang, Chao Chan, Raymond Nikolova, Mila a další

Přispěvatelé: Wang, Chao Chan, Raymond Nikolova, Mila a další

Zdroj: EISSN: 1936-4954 ; SIAM Journal on Imaging Sciences ; https://hal.science/hal-01780813 ; SIAM Journal on Imaging Sciences, 2019, ⟨10.1137/18M1178566⟩

Témata: point spread function, 65F22 Ill-posedness & regularization, Nonconvex programming, image processing, global optimization, space debris, Optimization and variational techniques, 3D localization, image, nonconvex optimization algorithms, rotation, AMS subject classifications.65K10, 65F22, 90C26, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, [INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [STAT]Statistics [stat]

Dostupnost: https://hal.science/hal-01780813
https://hal.science/hal-01780813v1/document
https://hal.science/hal-01780813v1/file/Poisson_rPSF_siam_submitted04012018.pdf
https://doi.org/10.1137/18M1178566

Nonlocal perimeters and curvature flows on graphs with applications in image processing and high-dimensional data classification

Autoři: El Bouchairi, Imad Elmoataz, Abderrahim Fadili, Jalal M. a další

Přispěvatelé: El Bouchairi, Imad Elmoataz, Abderrahim Fadili, Jalal M. a další

Zdroj: EISSN: 1936-4954 ; SIAM Journal on Imaging Sciences ; https://hal.science/hal-03631338 ; SIAM Journal on Imaging Sciences, In press, 16 (1), ⟨10.1137/22M148598X⟩

Témata: PdE on graph, data clustering, image processing, mean curvature flow, graph cuts, total variation, Perimeter, AMS subject classifications. 68Q25, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations, ACM: G.: Mathematics of Computing/G.2: DISCRETE MATHEMATICS, ACM: I.: Computing Methodologies/I.4: IMAGE PROCESSING AND COMPUTER VISION, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

Dostupnost: https://hal.science/hal-03631338
https://hal.science/hal-03631338v3/document
https://hal.science/hal-03631338v3/file/ex_article.pdf
https://doi.org/10.1137/22M148598X

Nonlocal perimeters and curvature flows on graphs with applications in image processing and high-dimensional data classification

Autoři: El Bouchairi, Imad Elmoataz, Abderrahim Fadili, Jalal M. a další

Přispěvatelé: El Bouchairi, Imad Elmoataz, Abderrahim Fadili, Jalal M. a další

Zdroj: EISSN: 1936-4954 ; SIAM Journal on Imaging Sciences ; https://hal.archives-ouvertes.fr/hal-03631338 ; SIAM Journal on Imaging Sciences, Society for Industrial and Applied Mathematics, In press

Témata: Perimeter, total variation, graph cuts, mean curvature flow, image processing, data clustering, PdE on graph, AMS subject classifications. 68Q25, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS, ACM: G.: Mathematics of Computing/G.2: DISCRETE MATHEMATICS, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations, ACM: I.: Computing Methodologies/I.4: IMAGE PROCESSING AND COMPUTER VISION, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

Relation: hal-03631338; https://hal.archives-ouvertes.fr/hal-03631338; https://hal.archives-ouvertes.fr/hal-03631338v2/document; https://hal.archives-ouvertes.fr/hal-03631338v2/file/nonlocal_perimeter.pdf

Dostupnost: https://hal.archives-ouvertes.fr/hal-03631338
https://hal.archives-ouvertes.fr/hal-03631338v2/document
https://hal.archives-ouvertes.fr/hal-03631338v2/file/nonlocal_perimeter.pdf

GLS methods for Stokes equations under boundary condition of friction type: formulation-analysis-numerical schemes and simulations

Autoři: Kamdem, Djoko Koko, J Université d'Auvergne - Clermont-Ferrand I (UdA) a další

Přispěvatelé: Kamdem, Djoko Koko, J Université d'Auvergne - Clermont-Ferrand I (UdA) a další

Zdroj: https://hal.science/hal-03607227 ; 2022.

Témata: Tresca friction law, variational inequality, GLS, convergence, augmented Lagrangian, projection-like method, alternating direction method of multiplier, active set strategy AMS Subject Classification: 65N30. 35J85 Contents, [MATH]Mathematics [math], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]

Dostupnost: https://hal.science/hal-03607227
https://hal.science/hal-03607227v1/document
https://hal.science/hal-03607227v1/file/GLS.pdf

Parallel approximation of the exponential of semidefinite negative Hermitian matrices ; Approximation parallèle de l'exponentielle de matrices Hermitiennes

Autoři: Hecht, Frédéric Kaber, Sidi-Mahmoud Perrin, Lucas a další

Přispěvatelé: Hecht, Frédéric Kaber, Sidi-Mahmoud Perrin, Lucas a další

Zdroj: https://hal.science/hal-03948509 ; 2025.

Témata: Matrix exponential, Roundoff error, expm, Octave, MATLAB, Pad\'e approximation, Partial fraction decomposition, Taylor series, Truncation error, Parallel computing, AMS subject classifications. 15A16, 65F60, 65L99, 65Y05, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2306.16778; ARXIV: 2306.16778

Dostupnost: https://hal.science/hal-03948509
https://hal.science/hal-03948509v3/document
https://hal.science/hal-03948509v3/file/HKPS_HAL.pdf

Parallel approximation of the exponential of Hermitian matrices ; Approximation parallèle de l'exponentielle de matrices Hermitiennes

Autoři: Hecht, Frédéric Kaber, Sidi-Mahmoud Perrin, Lucas a další

Přispěvatelé: Hecht, Frédéric Kaber, Sidi-Mahmoud Perrin, Lucas a další

Zdroj: https://hal.science/hal-03948509 ; 2023.

Témata: Matrix exponential, Parallel computing, Truncation error, Taylor series, Partial fraction decomposition, Pad\'e approximation, MATLAB, Octave, expm, Roundoff error, AMS subject classifications. 15A16, 65F60, 65L99, 65Y05, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2306.16778; ARXIV: 2306.16778

Dostupnost: https://hal.science/hal-03948509
https://hal.science/hal-03948509v2/document
https://hal.science/hal-03948509v2/file/HKPS.pdf

STOCHASTIC ROUNDING VARIANCE AND PROBABILISTIC BOUNDS: A NEW APPROACH

Autoři: El Arar, El-Mehdi Sohier, Devan de Oliveira Castro, Pablo a další

Přispěvatelé: El Arar, El-Mehdi Sohier, Devan de Oliveira Castro, Pablo a další

Zdroj: https://hal.archives-ouvertes.fr/hal-03722888 ; 2022.

Témata: Stochastic rounding, Floating-point arithmetic, Concentration inequality, Inner product, Polynomial evaluation, Horner algorithm, Horner algorithm AMS subject classifications-65G50, 65F05, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]

Relation: hal-03722888; https://hal.archives-ouvertes.fr/hal-03722888; https://hal.archives-ouvertes.fr/hal-03722888/document; https://hal.archives-ouvertes.fr/hal-03722888/file/main.pdf

Dostupnost: https://hal.archives-ouvertes.fr/hal-03722888
https://hal.archives-ouvertes.fr/hal-03722888/document
https://hal.archives-ouvertes.fr/hal-03722888/file/main.pdf

Some first-order algorithms for total variation based image restoration

Autoři: Aujol, Jean-François Centre de Mathématiques et de Leurs Applications (CMLA) École normale supérieure - Cachan (ENS Cachan)-Centre National de la Recherche Scientifique (CNRS)

Přispěvatelé: Aujol, Jean-François Centre de Mathématiques et de Leurs Applications (CMLA) École normale supérieure - Cachan (ENS Cachan)-Centre National de la Recherche Scientifique (CNRS)

Zdroj: ISSN: 0924-9907.

Témata: image restoration, Algorithms, duality, total variation regularization, AMS subject classifications : 68U10, 49M29, 65K10, [INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV]

Relation: hal-00260494; https://hal.archives-ouvertes.fr/hal-00260494; https://hal.archives-ouvertes.fr/hal-00260494v2/document; https://hal.archives-ouvertes.fr/hal-00260494v2/file/aujol_algo_final.pdf

Dostupnost: https://hal.archives-ouvertes.fr/hal-00260494
https://hal.archives-ouvertes.fr/hal-00260494v2/document
https://hal.archives-ouvertes.fr/hal-00260494v2/file/aujol_algo_final.pdf

An efficient way to assemble finite element matrices in vector languages

Autoři: Cuvelier, François Japhet, Caroline Scarella, Gilles a další

Přispěvatelé: Cuvelier, François Japhet, Caroline Scarella, Gilles a další

Zdroj: https://sorbonne-paris-nord.hal.science/hal-00931066 ; 2015.

Témata: finite elements, matrix assembly, vectorization, Matlab, Octave, Python, vector languages, AMS subject classifications. 65N30, 65Y20, 74S05, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [INFO.INFO-CC]Computer Science [cs]/Computational Complexity [cs.CC], [INFO.INFO-PL]Computer Science [cs]/Programming Languages [cs.PL], [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1401.3301; ARXIV: 1401.3301

Dostupnost: https://sorbonne-paris-nord.hal.science/hal-00931066
https://sorbonne-paris-nord.hal.science/hal-00931066v2/document
https://sorbonne-paris-nord.hal.science/hal-00931066v2/file/paperBITrevised.pdf

A New Approach to Probabilistic Rounding Error Analysis

Autoři: Higham, Nicholas J. Mary, Théo Department of Mathematics Manchester (School of Mathematics) a další

Přispěvatelé: Higham, Nicholas J. Mary, Théo Department of Mathematics Manchester (School of Mathematics) a další

Zdroj: ISSN: 1064-8275 ; SIAM Journal on Scientific Computing ; https://hal.science/hal-02311269 ; SIAM Journal on Scientific Computing, 2019, 41 (5), pp.A2815-A2835. ⟨10.1137/18M1226312⟩.

Témata: Rounding error analysis, floating-point arithmetic, numerical linear algebra, AMS: 65G50, 65Fxx, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

Relation: hal-02311269; https://hal.science/hal-02311269; https://hal.science/hal-02311269/document; https://hal.science/hal-02311269/file/ProbErrAna.pdf

Dostupnost: https://hal.science/hal-02311269
https://hal.science/hal-02311269/document
https://hal.science/hal-02311269/file/ProbErrAna.pdf
https://doi.org/10.1137/18M1226312

Adaptive hierarchical subtensor partitioning for tensor compression

Autoři: Ehrlacher, Virginie Grigori, Laura Lombardi, Damiano a další

Přispěvatelé: Ehrlacher, Virginie Grigori, Laura Lombardi, Damiano a další

Zdroj: ISSN: 1064-8275 ; SIAM Journal on Scientific Computing ; https://inria.hal.science/hal-02284456 ; SIAM Journal on Scientific Computing, 2021, ⟨10.1137/19M128689X⟩.

Témata: Tensors, CP and Tucker formats, Compression, HOSVD, AMS subject classifications. 65F99, 65D15, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]

Relation: info:eu-repo/grantAgreement//810367/EU/Extreme-scale Mathematically-based Computational Chemistry/EMC2

Dostupnost: https://inria.hal.science/hal-02284456
https://inria.hal.science/hal-02284456v1/document
https://inria.hal.science/hal-02284456v1/file/preprint.pdf
https://doi.org/10.1137/19M128689X

Robust preconditioners via generalized eigenproblems for hybrid sparse linear solvers

Autoři: Agullo, Emmanuel Giraud, Luc Poirel, Louis a další

Přispěvatelé: Agullo, Emmanuel Giraud, Luc Poirel, Louis a další

Zdroj: ISSN: 0895-4798.

Témata: Parallel hybrid (direct/iterative) solver, SPD linear systems, Robust, Generalized eigenvalue, Preconditioning, Coarse space, Scalable, AMS subject classifications: 15A06, 65F08, 65F10, 15A12, 65N55, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]

Dostupnost: https://inria.hal.science/hal-02074474
https://inria.hal.science/hal-02074474v1/document
https://inria.hal.science/hal-02074474v1/file/m115376R.pdf
https://doi.org/10.1137/17M1153765

On the generation of Krylov subspace bases

Autoři: Philippe, Bernard Reichel, Lothar Simulations and Algorithms on Grids for Environment (SAGE) a další

Přispěvatelé: Philippe, Bernard Reichel, Lothar Simulations and Algorithms on Grids for Environment (SAGE) a další

Zdroj: https://inria.hal.science/inria-00433009 ; [Research Report] RR-7099, INRIA. 2009, pp.23.

Témata: Krylov subspace basis, Arnoldi process, iterative method, AMS 65F10, 65F15, 65F22, 65F90, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

Dostupnost: https://inria.hal.science/inria-00433009
https://inria.hal.science/inria-00433009/document
https://inria.hal.science/inria-00433009/file/RR-7099.pdf

Communication avoiding low rank approximation based on QR with tournament pivoting

Autoři: Beaupère, Matthias Grigori, Laura Algorithms and parallel tools for integrated numerical simulations (ALPINES) a další

Přispěvatelé: Beaupère, Matthias Grigori, Laura Algorithms and parallel tools for integrated numerical simulations (ALPINES) a další

Zdroj: https://inria.hal.science/hal-02947991 ; 2021.

Témata: Subset selection, Low rank approximation, QR decomposition, Communication avoiding algorithm, AMS subject classifications. 15A18,15A23, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]

Relation: info:eu-repo/grantAgreement//810367/EU/Extreme-scale Mathematically-based Computational Chemistry/EMC2

Dostupnost: https://inria.hal.science/hal-02947991
https://inria.hal.science/hal-02947991v2/document
https://inria.hal.science/hal-02947991v2/file/qr_with_tournament_pivoting.pdf

Communication avoiding low rank approximation based on QR with tournament pivoting

Autoři: Beaupère, Matthias Grigori, Laura Algorithms and parallel tools for integrated numerical simulations (ALPINES) a další

Přispěvatelé: Beaupère, Matthias Grigori, Laura Algorithms and parallel tools for integrated numerical simulations (ALPINES) a další

Zdroj: https://hal.inria.fr/hal-02947991 ; 2020.

Témata: Subset selection, Low rank approximation, QR decomposition, Communication avoiding algorithm, AMS subject classifications. 15A18,15A23, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]

Relation: info:eu-repo/grantAgreement//810367/EU/Extreme-Scale Mathematically-based Computational Chemistry/EMC2; hal-02947991; https://hal.inria.fr/hal-02947991; https://hal.inria.fr/hal-02947991/document; https://hal.inria.fr/hal-02947991/file/qr_with_tournament_pivoting.pdf

Dostupnost: https://hal.inria.fr/hal-02947991
https://hal.inria.fr/hal-02947991/document
https://hal.inria.fr/hal-02947991/file/qr_with_tournament_pivoting.pdf