Approximation of boundary element matrices, Numerische Mathematik, vol.86, issue.4, pp.565-589, 2000. ,
DOI : 10.1007/PL00005410
A Parallel QR Factorization Algorithm with Controlled Local Pivoting, SIAM Journal on Scientific and Statistical Computing, vol.12, issue.1, 1991. ,
DOI : 10.1137/0912002
An Improved Approximation Algorithm for the Column Subset Selection Problem, Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms, pp.968-977, 2009. ,
DOI : 10.1137/1.9781611973068.105
Exponential Inapproximability of Selecting a Maximum Volume Sub-matrix, Algorithmica, vol.27, issue.3, pp.159-176, 2013. ,
DOI : 10.1137/S0097539795280895
Communication avoiding rank revealing QR factorization with column pivoting, SIAM J. Matrix Anal. Appl, 2015. ,
DOI : 10.21236/ada584728
URL : https://hal.archives-ouvertes.fr/hal-01112914
On the Failure of Rank-Revealing QR Factorization Software -- A Case Study, ACM Transactions on Mathematical Software, vol.35, issue.2, pp.1-1228, 2008. ,
DOI : 10.1145/1377612.1377616
New Fast and Accurate Jacobi SVD Algorithm. I, SIAM Journal on Matrix Analysis and Applications, vol.29, issue.4, pp.1322-1342, 2008. ,
DOI : 10.1137/050639193
New Fast and Accurate Jacobi SVD Algorithm. II, SIAM Journal on Matrix Analysis and Applications, vol.29, issue.4, pp.1343-1362, 2008. ,
DOI : 10.1137/05063920X
Randomized QR with Column Pivoting, SIAM Journal on Scientific Computing, vol.39, issue.4, pp.263-291, 2017. ,
DOI : 10.1137/15M1044680
The approximation of one matrix by another of lower rank, Psychometrika, vol.1, issue.3, pp.211-218, 1936. ,
DOI : 10.1007/BF02288367
Eigenvalues and Condition Numbers of Random Matrices, SIAM Journal on Matrix Analysis and Applications, vol.9, issue.4, pp.543-560, 1988. ,
DOI : 10.1137/0609045
The black-box fast multipole method, Journal of Computational Physics, vol.228, issue.23, pp.8712-8725, 2009. ,
DOI : 10.1016/j.jcp.2009.08.031
Fast monte-carlo algorithms for finding low-rank approximations, Journal of the ACM, vol.51, issue.6, pp.1025-1041, 2004. ,
DOI : 10.1145/1039488.1039494
URL : http://www-static.cc.gatech.edu/~vempala/papers/fastev.ps
Rank degeneracy and least squares problems, 1976. ,
The maximal-volume concept in approximation by low-rank matrices, Contemporary Mathematics, issue.280, pp.47-51, 2001. ,
DOI : 10.1090/conm/280/4620
Low Rank Approximation of a Sparse Matrix Based on LU Factorization with Column and Row Tournament Pivoting, SIAM Journal on Scientific Computing, vol.40, issue.2, 2016. ,
DOI : 10.1137/16M1074527
URL : https://hal.archives-ouvertes.fr/hal-01313856
Subspace Iteration Randomization and Singular Value Problems, SIAM Journal on Scientific Computing, vol.37, issue.3, 2015. ,
DOI : 10.1137/130938700
URL : http://arxiv.org/pdf/1408.2208
Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization, SIAM Journal on Scientific Computing, vol.17, issue.4, pp.848-869, 1996. ,
DOI : 10.1137/0917055
Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions, SIAM Review, vol.53, issue.2, pp.217-288, 2011. ,
DOI : 10.1137/090771806
Regularization tools version 4.1 for matlab 7.3, 2018. ,
DOI : 10.1007/s11075-007-9136-9
URL : http://orbit.dtu.dk/en/publications/regularization-tools-version-30-for-matlab-52(fd870e5d-bdaa-40f9-928a-e7a52339cdfd).html
Topics in Matrix Analysis, 1991. ,
DOI : 10.1017/CBO9780511840371
Unitary Triangularization of a Nonsymmetric Matrix, Journal of the ACM, vol.5, issue.4, pp.339-342, 1958. ,
DOI : 10.1145/320941.320947
URL : https://hal.archives-ouvertes.fr/hal-01316095
Stewart's pivoted QLP decomposition for low-rank matrices, Numerical Linear Algebra with Applications, vol.16, issue.2-3, pp.153-159, 2005. ,
DOI : 10.1137/1.9781611971408
Numerical linear algebra, Bulletin canadien de math??matiques, vol.9, issue.0, pp.757-801, 1966. ,
DOI : 10.4153/CMB-1966-083-2
Lanczos bidiagonalization with partial reorthogonalization Also available online from http: //soi, 1998. ,
Overview of total least-squares methods. Signal Process, pp.2283-2302, 2007. ,
Randomized methods for matrix computations and analysis of high dimensional data, 2016. ,
A randomized algorithm for the approximation of matrices, 2006. ,
SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS, The Quarterly Journal of Mathematics, vol.11, issue.1, pp.50-59, 1960. ,
DOI : 10.1093/qmath/11.1.50
Eigenvectors of random matrices: A survey, Journal of Combinatorial Theory, Series A, vol.144, pp.361-442, 2016. ,
DOI : 10.1016/j.jcta.2016.06.008
A Low-Rank IE-QR Algorithm for Matrix Compression in Volume Integral Equations, IEEE Transactions on Magnetics, vol.40, issue.2, pp.1017-1020, 2004. ,
DOI : 10.1109/TMAG.2004.824575
On the existence and computation of rank-revealing LU factorizations, Linear Algebra and its Applications, vol.316, issue.1-3, pp.199-222, 2000. ,
DOI : 10.1016/S0024-3795(00)00120-8
Bounds on singular values revealed by QR factorizations, BIT Numerical Mathematics, vol.39, issue.4, pp.740-756, 1999. ,
DOI : 10.1016/B978-044482107-2/50014-5
Invertibility of random matrices: norm of the inverse, Annals of Mathematics, vol.168, issue.2, pp.575-600, 2008. ,
DOI : 10.4007/annals.2008.168.575
Geometric Tools for Computer Graphics, 2003. ,
The QLP Approximation to the Singular Value Decomposition, SIAM Journal on Scientific Computing, vol.20, issue.4, pp.1336-1348, 1999. ,
DOI : 10.1137/S1064827597319519
Condition numbers of random matrices, Journal of Complexity, vol.7, issue.2, pp.131-149, 1991. ,
DOI : 10.1016/0885-064X(91)90002-F
RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS, Random Matrices: Theory and Applications, vol.69, issue.01, p.1150001, 2012. ,
DOI : 10.1007/s00220-010-1044-5
RSVDPACK: An implementation of randomized algorithms for computing the singular value, interpolative, and CUR decompositions of matrices on multi-core and GPU architectures, 2015. ,