-
1
-
-
21644458055
-
Efficient inversion of Galerkin matrices of general second-order elliptic differential operators with nonsmooth coefficients
-
M. Bebendorf, Efficient inversion of Galerkin matrices of general second-order elliptic differential operators with nonsmooth coefficients, Math. Comp., 74 (2005), pp. 1179-1199.
-
(2005)
Math. Comp.
, vol.74
, pp. 1179-1199
-
-
Bebendorf, M.1
-
2
-
-
84947068118
-
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations
-
D. Bini, L. Gemignani, and V. Y. Pan, Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations, Numer. Math., 100 (2005), pp. 373-408.
-
(2005)
Numer. Math.
, vol.100
, pp. 373-408
-
-
Bini, D.1
Gemignani, L.2
Pan, V.Y.3
-
3
-
-
0002170151
-
Rank revealing QR factorizations
-
T. Chan, Rank revealing QR factorizations, Linear Algebra Appl., 88/89 (1987), pp. 67-82.
-
(1987)
Linear Algebra Appl.
, vol.88-89
, pp. 67-82
-
-
Chan, T.1
-
4
-
-
39449085371
-
A fast solver for HSS representations via sparse matrices
-
S. Chandrasekaran, P. Dewilde, M. Gu, W. Lyons, and T. Pals, A fast solver for HSS representations via sparse matrices, SIAM J. Matrix Anal. Appl., 29 (2006), pp. 67-81.
-
(2006)
SIAM J. Matrix Anal. Appl.
, vol.29
, pp. 67-81
-
-
Chandrasekaran, S.1
Dewilde, P.2
Gu, M.3
Lyons, W.4
Pals, T.5
-
5
-
-
17144374758
-
-
Technical report, University of California, Berkeley, CA
-
S. Chandrasekaran, P. Dewilde, M. Gu, T. Pals, X. Sun, A. J. van der Veen, and D. White, Fast Stable Solvers for Sequentially Semi-separable Linear Systems of Equations and Least Squares Problems, Technical report, University of California, Berkeley, CA, 2003.
-
(2003)
Fast Stable Solvers for Sequentially Semi-separable Linear Systems of Equations and Least Squares Problems
-
-
Chandrasekaran, S.1
Dewilde, P.2
Gu, M.3
Pals, T.4
Sun, X.5
Veen Der Van, A.J.6
White, D.7
-
6
-
-
33646251804
-
Some fast algorithms for sequentially semiseparable representations
-
S. Chandrasekaran, P. Dewilde, M. Gu, T. Pals, X. Sun, A.-J. van der Veen, and D. White, Some fast algorithms for sequentially semiseparable representations, SIAM J. Matrix Anal. Appl., 27 (2005), pp. 341-364.
-
(2005)
SIAM J. Matrix Anal. Appl.
, vol.27
, pp. 341-364
-
-
Chandrasekaran, S.1
Dewilde, P.2
Gu, M.3
Pals, T.4
Sun, X.5
Van Der Veen, A.-J.6
White, D.7
-
7
-
-
77956413970
-
On the numerical rank of the off-diagonal blocks of Schur complements of discretized elliptic PDEs
-
S. Chandrasekaran, P. Dewilde, M. Gu, and N. Somasunderam, On the numerical rank of the off-diagonal blocks of Schur complements of discretized elliptic PDEs, SIAM J.Matrix Anal. Appl., 31 (2010), pp. 2261-2290.
-
(2010)
SIAM J.Matrix Anal. Appl.
, vol.31
, pp. 2261-2290
-
-
Chandrasekaran, S.1
Dewilde, P.2
Gu, M.3
Somasunderam, N.4
-
8
-
-
34547142879
-
-
Technical report, Department of Mathematics, University of California, Berkeley
-
S. Chandrasekaran, M. Gu, and T. Pals, Fast and Stable Algorithms for Hierarchically Semi-separable Representations, Technical report, Department of Mathematics, University of California, Berkeley, 2004.
-
(2004)
Fast and Stable Algorithms for Hierarchically Semi-separable Representations
-
-
Chandrasekaran, S.1
Gu, M.2
Pals, T.3
-
9
-
-
34547225006
-
A fast ULV decomposition solver for hierarchically semiseparable representations
-
S. Chandrasekaran, M. Gu, and T. Pals, A fast ULV decomposition solver for hierarchically semiseparable representations, SIAM J. Matrix Anal. Appl., 28 (2006), pp. 603-622.
-
(2006)
SIAM J. Matrix Anal. Appl.
, vol.28
, pp. 603-622
-
-
Chandrasekaran, S.1
Gu, M.2
Pals, T.3
-
12
-
-
0001321349
-
Linear complexity algorithms for semiseparable matrices
-
I. Gohberg, T. Kailath, and I. Koltracht, Linear complexity algorithms for semiseparable matrices, Integral Equations Operator Theory, 8 (1985), pp. 780-804.
-
(1985)
Integral Equations Operator Theory
, vol.8
, pp. 780-804
-
-
Gohberg, I.1
Kailath, T.2
Koltracht, I.3
-
13
-
-
0004236492
-
-
3rd ed., The Johns Hopkins University Press, Baltimore, MD
-
G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
14
-
-
37649016621
-
-
Max Planck Institute for Mathematics in the Sciences, Leipzig
-
L. Grasedyck, R. Kriemann, and S. Le Borne, Parallel Black Box Domain Decomposition Based H-LU Preconditioning, Technical Report 115, Max Planck Institute for Mathematics in the Sciences, Leipzig, 2005.
-
(2005)
Parallel Black Box Domain Decomposition Based H-LU Preconditioning, Technical Report 115
-
-
Grasedyck, L.1
Kriemann, R.2
Le Borne, S.3
-
15
-
-
84880346087
-
Domain-decomposition based H-LU preconditioners
-
Domain Decomposition Methods in Science and Engineering XVI, O. B. Widlund and D. E. Keyes, eds., Springer, Berlin
-
L. Grasedyck, R. Kriemann, and S. Le Borne, Domain-decomposition based H-LU preconditioners, in Domain Decomposition Methods in Science and Engineering XVI, O. B. Widlund and D. E. Keyes, eds., Lect. Notes Comput. Sci. Eng. 55, Springer, Berlin, 2006, pp. 661-668.
-
(2006)
Lect. Notes Comput. Sci. Eng.
, vol.55
, pp. 661-668
-
-
Grasedyck, L.1
Kriemann, R.2
Le Borne, S.3
-
16
-
-
0003216822
-
Efficient algorithms for computing a strong rank-revealing QR factorization
-
M. Gu and S. C. Eisenstat, Efficient algorithms for computing a strong rank-revealing QR factorization, SIAM J. Sci. Comput., 17 (1996), pp. 848-869.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 848-869
-
-
Gu, M.1
Eisenstat, S.C.2
-
17
-
-
84867286661
-
Randomized sampling and low-rank matrix approximations
-
submitted
-
M. Gu, Randomized sampling and low-rank matrix approximations, SIAM J. Matrix Anal. Appl., submitted, 2011.
-
(2011)
SIAM J. Matrix Anal. Appl.
-
-
Gu, M.1
-
18
-
-
79251503935
-
Direction-preserving and schur-monotonic semiseparable approximations of symmetric positive definite matrices
-
M. Gu, X. S. Li, and P. S. Vassilevski, Direction-preserving and Schur-monotonic semiseparable approximations of symmetric positive definite matrices, SIAM J. Matrix Anal. Appl., 31 (2010), pp. 2650-2664.
-
(2010)
SIAM J. Matrix Anal. Appl.
, vol.31
, pp. 2650-2664
-
-
Gu, M.1
Li, X.S.2
Vassilevski, P.S.3
-
19
-
-
0032637646
-
A sparse matrix arithmetic based on ℋ -matrices. Part I: Introduction to ℋ -matrices
-
W. Hackbusch, A sparse matrix arithmetic based on ℋ -matrices. Part I: Introduction to ℋ -matrices, Computing, 62 (1999), pp. 89-108.
-
(1999)
Computing
, vol.62
-
-
Hackbusch, W.1
-
20
-
-
0036387334
-
Data-sparse approximation by adaptive ℋ2-matrices
-
W. Hackbusch and S. Börm, Data-sparse approximation by adaptive ℋ2-matrices, Computing, 69 (2002), pp. 1-35.
-
(2002)
Computing
, vol.69
-
-
Hackbusch, W.1
Börm, S.2
-
21
-
-
0002133258
-
A sparse matrix arithmetic based on ℋ -matrices, Part II: Application to multi-dimensional problems
-
W. Hackbusch and B. Khoromskij, A sparse matrix arithmetic based on ℋ -matrices, Part II: Application to multi-dimensional problems, Computing, 64 (2000), pp. 21-47.
-
(2000)
Computing
, vol.64
, pp. 21-47
-
-
Hackbusch, W.1
Khoromskij, B.2
-
22
-
-
0001852618
-
On ℋ2-matrices
-
H. Bungartz, R. H. W. Hoppe, C. Zenger, eds., Springer, Berlin
-
W. Hackbusch, B. Khoromskij, and S. Sauter, On ℋ2-matrices, in Lecture on Applied Mathematics, H. Bungartz, R. H. W. Hoppe, C. Zenger, eds., Springer, Berlin, 2000, pp. 9-29.
-
(2000)
Lecture on Applied Mathematics
, pp. 9-29
-
-
Hackbusch, W.1
Khoromskij, B.2
Sauter, S.3
-
23
-
-
79960425522
-
Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
-
N. Halko, P. G. Martinsson, and J. A. Tropp, Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions, SIAM Rev., 53 (2011), pp. 217-288.
-
(2011)
SIAM Rev.
, vol.53
, pp. 217-288
-
-
Halko, N.1
Martinsson, P.G.2
Tropp, J.A.3
-
24
-
-
38049173092
-
Randomized algorithms for the low-rank approximation of matrices
-
E. Liberty, F. Woolfe, P. G. Martinsson, V. Rokhlin, and M. Tygert, Randomized algorithms for the low-rank approximation of matrices, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 20167-20172.
-
(2007)
Proc. Natl. Acad. Sci. USA
, vol.104
, pp. 20167-20172
-
-
Liberty, E.1
Woolfe, F.2
Martinsson, P.G.3
Rokhlin, V.4
Tygert, M.5
-
25
-
-
84856259101
-
A fast randomized algorithm for computing a hierarchically semiseparable representation of a matrix
-
P. G. Martinsson, A fast randomized algorithm for computing a hierarchically semiseparable representation of a matrix, SIAM J. Matrix Anal. Appl., 32 (2011), pp. 1251-1274.
-
(2011)
SIAM J. Matrix Anal. Appl.
, vol.32
, pp. 1251-1274
-
-
Martinsson, P.G.1
-
26
-
-
16844371628
-
A fast direct solver for boundary integral equations in two dimensions
-
P. G. Martinsson and V. Rokhlin, A fast direct solver for boundary integral equations in two dimensions, J. Comput. Phys., 205 (2005), pp. 1-23.
-
(2005)
J. Comput. Phys.
, vol.205
-
-
Martinsson, P.G.1
Rokhlin, V.2
-
27
-
-
78649322960
-
A randomized algorithm for the approximation of matrices
-
P. G. Martinsson, V. Rokhlin, and M. Tygert, A randomized algorithm for the approximation of matrices, Appl. Comput. Harmon. Anal., 30 (2011), pp. 47-68.
-
(2011)
Appl. Comput. Harmon. Anal.
, vol.30
, pp. 47-68
-
-
Martinsson, P.G.1
Rokhlin, V.2
Tygert, M.3
-
28
-
-
0000431418
-
Rapid solution of integral equations of scattering theory in two dimensions
-
V. Rokhlin, Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys., 86 (1990), pp. 414-439.
-
(1990)
J. Comput. Phys.
, vol.86
, pp. 414-439
-
-
Rokhlin, V.1
-
30
-
-
33845343264
-
A bibliography on semiseparable matrices
-
R. Vandebril, M. Van Barel, G. Golub, and N. Mastronardi, A bibliography on semiseparable matrices, Calcolo, 42 (2005), pp. 249-270.
-
(2005)
Calcolo
, vol.42
, pp. 249-270
-
-
Vandebril, R.1
Van Barel, M.2
Golub, G.3
Mastronardi, N.4
-
31
-
-
61749091633
-
-
The Johns Hopkins University Press, Baltimore, MD
-
R. Vandebril, M. Van Barel, and N. Mastronardi, Matrix computations and semiseparable matrices, Volume I: Linear systems, The Johns Hopkins University Press, Baltimore, MD, 2008.
-
(2008)
Matrix Computations and Semiseparable Matrices, Volume I: Linear Systems
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
32
-
-
84865452975
-
On the complexity of some hierarchical structured matrix algorithms
-
J. Xia, On the complexity of some hierarchical structured matrix algorithms, SIAM J. Matrix Anal. Appl., 33 (2012), pp. 388-410.
-
(2012)
SIAM J. Matrix Anal. Appl.
, vol.33
, pp. 388-410
-
-
Xia, J.1
-
33
-
-
77956417875
-
Superfast multifrontal method for large structured linear systems of equations
-
J. Xia, S. Chandrasekaran, M. Gu, and X. S. Li, Superfast multifrontal method for large structured linear systems of equations, SIAM J. Matrix. Anal. Appl., 31 (2009), pp. 1382-1411.
-
(2009)
SIAM J. Matrix. Anal. Appl.
, vol.31
, pp. 1382-1411
-
-
Xia, J.1
Chandrasekaran, S.2
Gu, M.3
Li, X.S.4
-
34
-
-
78649678670
-
Fast algorithm for hierarchically semiseparable matrices
-
J. Xia, S. Chandrasekaran, M. Gu, and X. S. Li, Fast algorithm for hierarchically semiseparable matrices, Numer. Linear Algebra Appl., 17 (2010), pp. 953-976.
-
(2010)
Numer. Linear Algebra Appl.
, vol.17
, pp. 953-976
-
-
Xia, J.1
Chandrasekaran, S.2
Gu, M.3
Li, X.S.4
-
35
-
-
79251500987
-
Robust approximate Cholesky factorization of rank-structured symmetric positive definite matrices
-
J. Xia and M. Gu, Robust approximate Cholesky factorization of rank-structured symmetric positive definite matrices, SIAM J. Matrix Anal. Appl., 31 (2010), pp. 2899-2920.
-
(2010)
SIAM J. Matrix Anal. Appl.
, vol.31
, pp. 2899-2920
-
-
Xia, J.1
Gu, M.2
-
36
-
-
84867319581
-
A superfast structured solver for Toeplitz linear systems via randomized sampling
-
J. Xia, Y. Xi, and M. Gu, A superfast structured solver for Toeplitz linear systems via randomized sampling, SIAM J. Matrix Anal. Appl., 33 (2012), pp. 837-858.
-
(2012)
SIAM J. Matrix Anal. Appl.
, vol.33
, pp. 837-858
-
-
Xia, J.1
Xi, Y.2
Gu, M.3
|