Per-Gunnar Martinsson
Title
Cited by
Cited by
Year
Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
N Halko, PG Martinsson, JA Tropp
SIAM review 53 (2), 217-288, 2011
28992011
Randomized algorithms for the low-rank approximation of matrices
E Liberty, F Woolfe, PG Martinsson, V Rokhlin, M Tygert
Proceedings of the National Academy of Sciences 104 (51), 20167-20172, 2007
4812007
A randomized algorithm for the decomposition of matrices
PG Martinsson, V Rokhlin, M Tygert
Applied and Computational Harmonic Analysis 30 (1), 47-68, 2011
3382011
On the compression of low rank matrices
H Cheng, Z Gimbutas, PG Martinsson, V Rokhlin
SIAM Journal on Scientific Computing 26 (4), 1389-1404, 2005
2922005
A fast direct solver for boundary integral equations in two dimensions
PG Martinsson, V Rokhlin
Journal of Computational Physics 205 (1), 1-23, 2005
2732005
Vibrations of lattice structures and phononic band gaps
PG Martinsson, AB Movchan
Quarterly Journal of Mechanics and Applied Mathematics 56 (1), 45-64, 2003
2472003
An algorithm for the principal component analysis of large data sets
N Halko, PG Martinsson, Y Shkolnisky, M Tygert
SIAM Journal on Scientific computing 33 (5), 2580-2594, 2011
2052011
Fast direct solvers for integral equations in complex three-dimensional domains
L Greengard, D Gueyffier, PG Martinsson, V Rokhlin
Acta Numerica 18 (1), 243-275, 2009
1692009
Finding structure with randomness: Stochastic algorithms for constructing approximate matrix decompositions
N Halko, PG Martinsson, JA Tropp
California Institute of Technology, 2009
1452009
A fast randomized algorithm for computing a hierarchically semiseparable representation of a matrix
PG Martinsson
SIAM Journal on Matrix Analysis and Applications 32 (4), 1251-1274, 2011
1432011
A direct solver with O (N) complexity for integral equations on one-dimensional domains
A Gillman, PM Young, PG Martinsson
Frontiers of Mathematics in China 7 (2), 217-247, 2012
1042012
An accelerated kernel-independent fast multipole method in one dimension
PG Martinsson, V Rokhlin
SIAM Journal on Scientific Computing 29 (3), 1160-1178, 2007
932007
A fast algorithm for the inversion of general Toeplitz matrices
PG Martinsson, V Rokhlin, M Tygert
Computers & Mathematics with Applications 50 (5-6), 741-752, 2005
912005
An O (N) direct solver for integral equations on the plane
E Corona, PG Martinsson, D Zorin
Applied and Computational Harmonic Analysis 38 (2), 284-317, 2015
852015
A fast direct solver for a class of elliptic partial differential equations
PG Martinsson
Journal of Scientific Computing 38 (3), 316-330, 2009
852009
High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
S Hao, AH Barnett, PG Martinsson, P Young
Advances in Computational Mathematics 40 (1), 245-272, 2014
752014
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
A Gillman, AH Barnett, PG Martinsson
BIT Numerical Mathematics 55 (1), 141-170, 2015
742015
A fast direct solver for scattering problems involving elongated structures
PG Martinsson, V Rokhlin
Journal of Computational Physics 221 (1), 288-302, 2007
652007
A randomized blocked algorithm for efficiently computing rank-revealing factorizations of matrices
PG Martinsson, S Voronin
SIAM Journal on Scientific Computing 38 (5), S485-S507, 2016
642016
A Direct Solver with Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method
A Gillman, PG Martinsson
SIAM Journal on Scientific Computing 36 (4), A2023-A2046, 2014
512014
The system can't perform the operation now. Try again later.
Articles 1–20