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Author ID: duff.iain-s Recent zbMATH articles by "Duff, Iain S."
Published as: Duff, Iain S.; Duff, I. S.; Duff, Iain; Duff, Jain S.; Duff, I.
External Links: MGP · Wikidata
all top 5

Co-Authors

34 single-authored
20 Reid, John
12 Arioli, Mario
11 Amestoy, Patrick R.
11 Giraud, Luc
11 Scott, Jennifer
10 Ruiz, Daniel
6 Carpentieri, Bruno
6 Van der Vorst, Henk Albertus
5 Dongarra, Jack J.
5 L’Excellent, Jean-Yves
4 Davis, Timothy Alden
4 Erisman, Albert M.
3 Bai, Zhongzhi
3 Daydé, Michel J.
3 Elman, Howard C.
3 Hogg, Jonathan D.
3 Kelley, Tim
3 Koster, Jacko
3 Lopez, Florent
3 Pralet, Stéphane
3 Uçar, Bora
3 Vömel, Christof
3 Wathen, Andrew John
2 Benzi, Michele
2 Cai, Xiao-Chuan
2 Du Croz, Jeremy J.
2 Gratton, Serge
2 Guivarch, Ronan
2 Hammarling, Sven J.
2 Heroux, Michael A.
2 Jordan, Kirk E.
2 Kaya, Kamer
2 Kilmer, Misha Elena
2 Leyffer, Sven
2 Manteuffel, Thomas A.
2 McCormick, Steve Fahrney
2 Nakov, Stojce
2 Rouet, François-Henry
2 Sadkane, Miloud
2 Silvester, David J.
2 Sorensen, Danny C.
2 Sylvand, Guillaume
2 Tuminaro, Ray S.
2 Walker, Homer F.
2 Woodward, Carol S.
2 Yavneh, Irad
2 Zenadi, Mohamed
1 Axelsson, Axel Owe Holger
1 Berger, Philippe
1 Bischof, Christian H.
1 Bisseling, Rob H.
1 Björck, Åke
1 Borchers, Wolfgang
1 Cardenal, Jesús
1 Cliffe, K. Andrew
1 Dave, Ameet K.
1 de Rijk, P. P. M.
1 Demmel, James Weldon
1 Douglas, Craig C.
1 Drummond, Anthony
1 Edelman, Alan Stuart
1 Frayssé, Valérie
1 Freund, Roland W.
1 Freund, Ronal
1 Gear, Charles William
1 Geist, George A.
1 Gould, Nick I. M.
1 Grimes, Roger G.
1 Guermouche, Abdou
1 Guo, Xueping
1 Heath, Michael T.
1 Hendrickson, Bruce A.
1 Jiménez, José Manuel
1 Keyes, David Elliot
1 Knoll, Dana A.
1 Koelbel, Chuck
1 Laminie, Jacques
1 Langou, Julien
1 Leleux, Philippe
1 Lewis, John Gregg
1 Li, Ang
1 Lichnewsky, Alain
1 Liu, Weifeng
1 Livshits, Irene
1 Magolu monga Made, Mardochée
1 Marrone, Michele
1 McKee, Sean
1 Meurant, Gérard A.
1 Mijuca, Dubravka
1 Munksgaard, Niels
1 Noailles, Joseph
1 Nocedal, Jorge
1 Nowak, Ulrich
1 Olson, Luke N.
1 Papadopoulos, A. T.
1 Petitet, Antoine
1 Philippe, Bernard J.
1 Pinel, Xavier
1 Pozo, Roldan
1 Puglisi, Chiara
...and 20 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

111 Publications have been cited 2,933 times in 2,050 Documents Cited by Year
A fully asynchronous multifrontal solver using distributed dynamic scheduling. Zbl 0992.65018
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Koster, Jacko
462
2001
Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017
Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y.
226
2000
Direct methods for sparse matrices. Zbl 0604.65011
Duff, I. S.; Erisman, A. M.; Reid, J. K.
211
1986
The multifrontal solution of indefinite sparse symmetric linear equations. Zbl 0515.65022
Duff, I. S.; Reid, J. K.
188
1983
A set of level 3 basic linear algebra subprograms. Zbl 0900.65115
Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain
139
1990
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
104
1996
An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021
Davis, Timothy A.; Duff, Iain S.
102
1997
Sparse matrix test problems. Zbl 0667.65040
Duff, Iain S.; Grimes, Roger G.; Lewis, John G.
100
1989
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, Gérard A.
85
1989
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
77
1998
MA57 – a code for the solution of sparse symmetric definite and indefinite systems. Zbl 1070.65525
Duff, Iain S.
75
2004
A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Zbl 0962.65027
Davis, Timothy A.; Duff, Jain S.
67
1999
Direct methods for sparse matrices. Paperback ed. (with corrections). Zbl 0666.65024
Duff, I. S.; Erisman, A. M.; Reid, J. K.
64
1989
On algorithms for permuting large entries to the diagonal of a sparse matrix. Zbl 0979.05087
Duff, I. S.; Koster, J.
52
2001
On the augmented system approach to sparse least-squares problems. Zbl 0678.65024
Arioli, M.; Duff, I. S.; de Rijk, P. P. M.
47
1989
Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations. Zbl 1089.78023
Carpentieri, B.; Duff, I. S.; Giraud, L.; Sylvand, G.
46
2005
Direct methods for sparse matrices. 2nd edition. Zbl 1364.65067
Duff, I. S.; Erisman, A. M.; Reid, J. K.
44
2017
The design and use of algorithms for permuting large entries to the diagonal of sparse matrices. Zbl 0947.65048
Duff, Iain S.; Koster, Jacko
43
1999
Solving sparse linear systems with sparse backward error. Zbl 0684.65022
Arioli, M.; Demmel, J. W.; Duff, I. S.
37
1989
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050
Carpentieri, B.; Duff, I. S.; Giraud, L.
33
2000
An implementation of Tarjan’s algorithm for the block triangularization of a matrix. Zbl 0389.65019
Duff, I. S.; Reid, J. K.
28
1978
The multifrontal solution of unsymmetric sets of linear equations. Zbl 0557.65017
Duff, I. S.; Reid, J. K.
27
1984
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
25
2001
The factorization of sparse symmetric indefinite matrices. Zbl 0739.65018
Duff, I. S.; Gould, N. I. M.; Reid, J. K.; Scott, J. A.
24
1991
Parallel implementation of multifrontal schemes. Zbl 0628.65018
Duff, Iain S.
21
1986
Semilocal and global convergence of the Newton-HSS method for systems of nonlinear equations. Zbl 1249.65116
Guo, Xue-Ping; Duff, Iain S.
21
2011
A class of spectral two-level preconditioners. Zbl 1048.65043
Carpentieri, B.; Duff, I. S.; Giraud, L.
20
2003
A comparison of some methods for the solution of sparse overdetermined systems of linear equations. Zbl 0329.65026
Duff, I. S.; Reid, J. K.
20
1976
A direct method for the solution of sparse linear least squares problems. Zbl 0471.65021
Björck, Å.; Duff, I. S.
19
1980
Algorithm 679: A set of level 3 basic linear algebra subprograms: Model implementation and test programs. Zbl 0900.65116
Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain
18
1990
Strategies for scaling and pivoting for sparse symmetric indefinite problems. Zbl 1092.65037
Duff, Iain S.; Pralet, Stéphane
18
2005
Stopping criteria for iterative solvers. Zbl 0749.65023
Arioli, Mario; Duff, Iain; Ruiz, Daniel
18
1992
The design of MA48: A code for the direct solution of sparse unsymmetric linear systems of equations. Zbl 0884.65019
Duff, I. S.; Reid, J. K.
16
1996
Some design features of a sparse matrix code. Zbl 0401.65023
Duff, I. S.; Reid, J. K.
15
1979
A block projection method for sparse matrices. Zbl 0761.65015
Arioli, Mario; Duff, Iain; Noailles, Joseph; Ruiz, Daniel
15
1992
Solving linear systems on vector and shared memory computers. Zbl 0770.65009
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
15
1990
Numerical study on incomplete orthogonal factorization preconditioners. Zbl 1161.65036
Bai, Zhong-Zhi; Duff, Iain S.; Yin, Jun-Feng
14
2009
Computing the structural index. Zbl 0619.65064
Duff, I. S.; Gear, C. W.
13
1986
Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems. Zbl 0884.65020
Duff, I. S.; Reid, J. K.
13
1996
Multifrontal QR factorization in a multiprocessor environment. Zbl 0907.65040
Amestoy, P. R.; Duff, I. S.; Puglisi, C.
12
1996
Using FGMRES to obtain backward stability in mixed precision. Zbl 1171.65018
Arioli, M.; Duff, I. S.
11
2009
The design of a new frontal code for solving sparse, unsymmetric systems. Zbl 0884.65018
Duff, I. S.; Scott, J. A.
11
1996
The use of profile reduction algorithms with a frontal code. Zbl 0725.65045
Duff, I. S.; Reid, J. K.; Scott, J. A.
11
1989
Sparse symmetric preconditioners for dense linear systems in electromagnetism. Zbl 1164.65340
Carpentieri, B.; Duff, I. S.; Giraud, L.; Magolu monga Made, M.
11
2004
An overview of the sparse basic linear algebra subprograms: The new standard from the BLAS technical forum. Zbl 1070.65521
Duff, Iain S.; Heroux, Michael A.; Pozo, Roldan
11
2002
On computing inverse entries of a sparse matrix in an out-of-core environment. Zbl 1252.05108
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Robert, Yves; Rouet, François-Henry; Uçar, Bora
11
2012
On George’s nested dissection method. Zbl 0345.65015
Duff, I. S.; Erisman, A. M.; Reid, J. K.
10
1976
Direct solution of sets of linear equations whose matrix is sparse, symmetric and indefinite. Zbl 0402.65018
Duff, I. S.; Reid, J. K.; Munksgaard, N.; Nielsen, H. B.
10
1979
The augmented block Cimmino distributed method. Zbl 1318.65016
Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed
10
2015
A note on GMRES preconditioned by a perturbed \(LDL^T\) decomposition with static pivoting. Zbl 1161.65023
Arioli, M.; Duff, I. S.; Gratton, S.; Pralet, S.
10
2007
Block Lanczos techniques for accelerating the block Cimmino method. Zbl 0839.65037
Arioli, Mario; Duff, Iain S.; Ruiz, Daniel; Sadkane, Miloud
10
1995
Computing selected eigenvalues of sparse unsymmetric matrices using subspace iteration. Zbl 0888.65039
Duff, I. S.; Scott, J. A.
9
1993
The use of multiple fronts in Gaussian elimination. Zbl 0819.65023
Duff, I. S.; Scott, J. A.
9
1994
Pivot selection and row ordering in Givens reduction on sparse matrices. Zbl 0298.65029
Duff, I. S.
9
1974
A comparison of sparsity orderings for obtaining a pivotal sequence in Gaussian elimination. Zbl 0308.65021
Duff, I. S.; Reid, J. K.
8
1974
Parallel computation of entries of \({A}^{-1}\). Zbl 1318.65015
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Rouet, François-Henry
8
2015
Preconditioning linear least-squares problems by identifying a basis matrix. Zbl 1325.65041
Arioli, Mario; Duff, Iain S.
8
2015
The use of linear programming for the solution of sparse sets of nonlinear equations. Zbl 0636.65053
Duff, I. S.; Nocedal, J.; Reid, J. K.
8
1987
Towards stable mixed pivoting strategies for the sequential and parallel solution of sparse symmetric indefinite systems. Zbl 1145.65021
Duff, Iain S.; Pralet, Stéphane
8
2007
A class of incomplete orthogonal factorization methods. II: Implemetation and results. Zbl 1080.65028
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J.
8
2005
Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core. Zbl 0541.65017
Duff, I. S.
7
1984
Some current approaches to the solution of large sparse systems of linear equations. Zbl 0437.65024
Duff, I. S.
7
1979
The impact of high-performance computing in the solution of linear systems: Trends and problems. Zbl 0970.65025
Duff, Iain S.
7
2000
Using spectral low rank preconditioners for large electromagnetic calculations. Zbl 1082.78012
Duff, I. S.; Giraud, L.; Langou, J.; Martin, E.
7
2005
A synchronization-free algorithm for parallel sparse triangular solves. Zbl 1439.65035
Liu, Weifeng; Li, Ang; Hogg, Jonathan; Duff, Iain S.; Vinter, Brian
6
2016
Partitioning strategies for the block Cimmino algorithm. Zbl 1360.65100
Drummond, L. A.; Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed
6
2015
Design, implementation, and analysis of maximum transversal algorithms. Zbl 1365.65124
Duff, Iain S.; Kaya, Kamer; Uçcar, Bora
6
2011
Multiprocessing a sparse matrix code on the Alliant FX/8. Zbl 0683.65015
Duff, Iain S.
5
1989
On permutations to block triangular form. Zbl 0353.15020
Duff, I. S.
5
1977
Preconditioners based on strong subgraphs. Zbl 1286.05085
Duff, Iain S.; Kaya, Kamer
5
2013
Remarks on implementations of \(0(n^{1/2}\tau)\) assignment algorithms. Zbl 0648.65041
Duff, Iain S.; Wiberg, Torbjörn
5
1988
Task scheduling in an asynchronous distributed memory multifrontal solver. Zbl 1075.65039
Amestoy, Patrick R.; Duff, Iain S.; Vömel, Christof
5
2005
Level 3 basic linear algebra subprograms for sparse matrices: A user-level interface. Zbl 0903.65041
Duff, Iain S.; Marrone, Michele; Radicati, Giuseppe; Vittoli, Carlo
5
1997
Full matrix techniques in sparse Gaussian elimination. Zbl 0475.65014
Duff, Iain S.
4
1982
Performance issues for frontal schemes on a cache-based high-performance computer. Zbl 0909.65019
Cliffe, K. A.; Duff, I. S.; Scott, J. A.
4
1998
The solution of augmented systems. Zbl 0796.65023
Duff, I. S.
4
1994
Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics. Zbl 1123.65030
Duff, I.; Gratton, S.; Pinel, X.; Vasseur, X.
4
2007
A parallel matrix scaling algorithm. Zbl 1204.65040
Amestoy, Patrick R.; Duff, Iain S.; Ruiz, Daniel; Uçar, Bora
4
2008
The design and use of a sparse direct solver for skew symmetric matrices. Zbl 1161.65021
Duff, Iain S.
4
2009
The state of the art in numerical analysis. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications (IMA), University of York, York, GB, April 1–4, 1996. Zbl 0869.00046
4
1997
Sparse numerical linear algebra: Direct methods and preconditioning. Zbl 0881.65030
Duff, Iain S.
4
1997
Direct methods for solving sparse systems of linear equations. Zbl 0557.65016
Duff, Iain S.
3
1984
Sparse matrix proceedings 1978. Zbl 0401.00013
3
1979
Sparse matrix calculations on the CRAY-2. Zbl 0629.65030
Dave, Ameet K.; Duff, Iain S.
3
1987
Analysis of the solution phase of a parallel multifrontal approach. Zbl 1208.68234
Amestoy, P.; Duff, I. S.; Guermouche, A.; Slavova, Tz.
3
2010
A frontal code for the solution of sparse positive-definite symmetric systems arising from finite-element applications. Zbl 0962.65028
Duff, Jain S.; Scott, Jennifer A.
3
1999
A parallel scheduler for block iterative solvers in heterogeneous computing environments. Zbl 0836.65040
Arioli, Mario; Drummond, Anthony; Duff, Iain S.; Ruiz, Daniel
3
1995
A review of frontal methods for solving linear systems. Zbl 0926.65030
Duff, Iain S.
3
1996
Analysis and comparison of two general sparse solvers for distributed memory computers. Zbl 1072.65035
Amestoy, Patrick R.; Duff, Iain S.; L’excellent, Jean Yves; Li, Xiaoye S.
3
2001
A parallel direct solver for large sparse highly unsymmetric linear systems. Zbl 1072.65038
Duff, Iain S.; Scott, Jennifer A.
3
2004
On the number of nonzeros added when Gaussian elimination is performed on sparse random matrices. Zbl 0298.65024
Duff, I. S.
3
1974
On the reduction of sparse matrices to condensed forms by similarity transformations. Zbl 0299.15006
Duff, I. S.; Reid, J. K.
3
1975
The solution of large-scale least-squares problems on supercomputers. Zbl 0705.90064
Duff, Iain S.
2
1990
Use of the \(P^ 4\) and \(P^ 5\) algorithms for in-core factorization of sparse matrices. Zbl 0711.65015
Arioli, M.; Duff, I. S.; Gould, N. I. M.; Reid, J. K.
2
1990
Experiments in tearing large sparse systems. Zbl 0723.65025
Arioli, Mario; Duff, Iain S.
2
1990
A multifrontal approach for solving sparse linear equations. Zbl 0513.65012
Duff, Iain
2
1983
A note on the work involved in no-fill sparse matrix factorization. Zbl 0513.65018
Duff, I. S.; Reid, J. K.
2
1983
An embedded iterative scheme in electromagnetism. Zbl 1128.78301
Carpentieri, Bruno; Duff, Iain S.; Giraud, Luc; Sylvand, Guillaume
2
2004
On the block triangular form of symmetric matrices. Zbl 1209.05142
Duff, Iain S.; Uçar, Bora
2
2010
Incremental norm estimation for dense and sparse matrices. Zbl 1010.65019
Duff, Iain S.; Vömel, Christof
2
2002
A new sparse \(LDL^T\) solver using a posteriori threshold pivoting. Zbl 1434.65049
Duff, Iain; Hogg, Jonathan; Lopez, Florent
1
2020
Experiments with sparse Cholesky using a sequential task-flow implementation. Zbl 1405.65036
Duff, Iain; Hogg, Jonathan; Lopez, Florent
1
2018
Direct methods for sparse matrices. 2nd edition. Zbl 1364.65067
Duff, I. S.; Erisman, A. M.; Reid, J. K.
44
2017
A synchronization-free algorithm for parallel sparse triangular solves. Zbl 1439.65035
Liu, Weifeng; Li, Ang; Hogg, Jonathan; Duff, Iain S.; Vinter, Brian
6
2016
The augmented block Cimmino distributed method. Zbl 1318.65016
Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed
10
2015
Parallel computation of entries of \({A}^{-1}\). Zbl 1318.65015
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Rouet, François-Henry
8
2015
Preconditioning linear least-squares problems by identifying a basis matrix. Zbl 1325.65041
Arioli, Mario; Duff, Iain S.
8
2015
Partitioning strategies for the block Cimmino algorithm. Zbl 1360.65100
Drummond, L. A.; Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed
6
2015
Preconditioners based on strong subgraphs. Zbl 1286.05085
Duff, Iain S.; Kaya, Kamer
5
2013
On computing inverse entries of a sparse matrix in an out-of-core environment. Zbl 1252.05108
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Robert, Yves; Rouet, François-Henry; Uçar, Bora
11
2012
Semilocal and global convergence of the Newton-HSS method for systems of nonlinear equations. Zbl 1249.65116
Guo, Xue-Ping; Duff, Iain S.
21
2011
Design, implementation, and analysis of maximum transversal algorithms. Zbl 1365.65124
Duff, Iain S.; Kaya, Kamer; Uçcar, Bora
6
2011
Analysis of the solution phase of a parallel multifrontal approach. Zbl 1208.68234
Amestoy, P.; Duff, I. S.; Guermouche, A.; Slavova, Tz.
3
2010
On the block triangular form of symmetric matrices. Zbl 1209.05142
Duff, Iain S.; Uçar, Bora
2
2010
Numerical study on incomplete orthogonal factorization preconditioners. Zbl 1161.65036
Bai, Zhong-Zhi; Duff, Iain S.; Yin, Jun-Feng
14
2009
Using FGMRES to obtain backward stability in mixed precision. Zbl 1171.65018
Arioli, M.; Duff, I. S.
11
2009
The design and use of a sparse direct solver for skew symmetric matrices. Zbl 1161.65021
Duff, Iain S.
4
2009
A parallel matrix scaling algorithm. Zbl 1204.65040
Amestoy, Patrick R.; Duff, Iain S.; Ruiz, Daniel; Uçar, Bora
4
2008
A note on GMRES preconditioned by a perturbed \(LDL^T\) decomposition with static pivoting. Zbl 1161.65023
Arioli, M.; Duff, I. S.; Gratton, S.; Pralet, S.
10
2007
Towards stable mixed pivoting strategies for the sequential and parallel solution of sparse symmetric indefinite systems. Zbl 1145.65021
Duff, Iain S.; Pralet, Stéphane
8
2007
Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics. Zbl 1123.65030
Duff, I.; Gratton, S.; Pinel, X.; Vasseur, X.
4
2007
Sparse system solution and the HSL library. Zbl 1171.65392
Duff, Iain S.
1
2007
Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations. Zbl 1089.78023
Carpentieri, B.; Duff, I. S.; Giraud, L.; Sylvand, G.
46
2005
Strategies for scaling and pivoting for sparse symmetric indefinite problems. Zbl 1092.65037
Duff, Iain S.; Pralet, Stéphane
18
2005
A class of incomplete orthogonal factorization methods. II: Implemetation and results. Zbl 1080.65028
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J.
8
2005
Using spectral low rank preconditioners for large electromagnetic calculations. Zbl 1082.78012
Duff, I. S.; Giraud, L.; Langou, J.; Martin, E.
7
2005
Task scheduling in an asynchronous distributed memory multifrontal solver. Zbl 1075.65039
Amestoy, Patrick R.; Duff, Iain S.; Vömel, Christof
5
2005
MA57 – a code for the solution of sparse symmetric definite and indefinite systems. Zbl 1070.65525
Duff, Iain S.
75
2004
Sparse symmetric preconditioners for dense linear systems in electromagnetism. Zbl 1164.65340
Carpentieri, B.; Duff, I. S.; Giraud, L.; Magolu monga Made, M.
11
2004
A parallel direct solver for large sparse highly unsymmetric linear systems. Zbl 1072.65038
Duff, Iain S.; Scott, Jennifer A.
3
2004
An embedded iterative scheme in electromagnetism. Zbl 1128.78301
Carpentieri, Bruno; Duff, Iain S.; Giraud, Luc; Sylvand, Guillaume
2
2004
A class of spectral two-level preconditioners. Zbl 1048.65043
Carpentieri, B.; Duff, I. S.; Giraud, L.
20
2003
An overview of the sparse basic linear algebra subprograms: The new standard from the BLAS technical forum. Zbl 1070.65521
Duff, Iain S.; Heroux, Michael A.; Pozo, Roldan
11
2002
Incremental norm estimation for dense and sparse matrices. Zbl 1010.65019
Duff, Iain S.; Vömel, Christof
2
2002
A fully asynchronous multifrontal solver using distributed dynamic scheduling. Zbl 0992.65018
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Koster, Jacko
462
2001
On algorithms for permuting large entries to the diagonal of a sparse matrix. Zbl 0979.05087
Duff, I. S.; Koster, J.
52
2001
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
25
2001
Analysis and comparison of two general sparse solvers for distributed memory computers. Zbl 1072.65035
Amestoy, Patrick R.; Duff, Iain S.; L’excellent, Jean Yves; Li, Xiaoye S.
3
2001
Robust preconditioning of dense problems from electromagnetics. Zbl 0978.65036
Carpentieri, B.; Duff, I. S.; Giraud, L.
1
2001
Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017
Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y.
226
2000
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050
Carpentieri, B.; Duff, I. S.; Giraud, L.
33
2000
The impact of high-performance computing in the solution of linear systems: Trends and problems. Zbl 0970.65025
Duff, Iain S.
7
2000
A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Zbl 0962.65027
Davis, Timothy A.; Duff, Jain S.
67
1999
The design and use of algorithms for permuting large entries to the diagonal of sparse matrices. Zbl 0947.65048
Duff, Iain S.; Koster, Jacko
43
1999
A frontal code for the solution of sparse positive-definite symmetric systems arising from finite-element applications. Zbl 0962.65028
Duff, Jain S.; Scott, Jennifer A.
3
1999
Euro-Par ’99. Parallel processing. 5th international Euro-Par conference, Toulouse, France, August 31 - September 3, 1999. Proceedings. Zbl 0921.00036
1
1999
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
77
1998
Performance issues for frontal schemes on a cache-based high-performance computer. Zbl 0909.65019
Cliffe, K. A.; Duff, I. S.; Scott, J. A.
4
1998
Solution of sparse quasi-square rectangular systems by Gaussian elimination. Zbl 0903.65035
Cardenal, Jesús; Duff, Iain S.; Jiménez, José M.
1
1998
An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021
Davis, Timothy A.; Duff, Iain S.
102
1997
Level 3 basic linear algebra subprograms for sparse matrices: A user-level interface. Zbl 0903.65041
Duff, Iain S.; Marrone, Michele; Radicati, Giuseppe; Vittoli, Carlo
5
1997
The state of the art in numerical analysis. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications (IMA), University of York, York, GB, April 1–4, 1996. Zbl 0869.00046
4
1997
Sparse numerical linear algebra: Direct methods and preconditioning. Zbl 0881.65030
Duff, Iain S.
4
1997
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
104
1996
The design of MA48: A code for the direct solution of sparse unsymmetric linear systems of equations. Zbl 0884.65019
Duff, I. S.; Reid, J. K.
16
1996
Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems. Zbl 0884.65020
Duff, I. S.; Reid, J. K.
13
1996
Multifrontal QR factorization in a multiprocessor environment. Zbl 0907.65040
Amestoy, P. R.; Duff, I. S.; Puglisi, C.
12
1996
The design of a new frontal code for solving sparse, unsymmetric systems. Zbl 0884.65018
Duff, I. S.; Scott, J. A.
11
1996
A review of frontal methods for solving linear systems. Zbl 0926.65030
Duff, Iain S.
3
1996
Block Lanczos techniques for accelerating the block Cimmino method. Zbl 0839.65037
Arioli, Mario; Duff, Iain S.; Ruiz, Daniel; Sadkane, Miloud
10
1995
A parallel scheduler for block iterative solvers in heterogeneous computing environments. Zbl 0836.65040
Arioli, Mario; Drummond, Anthony; Duff, Iain S.; Ruiz, Daniel
3
1995
The use of multiple fronts in Gaussian elimination. Zbl 0819.65023
Duff, I. S.; Scott, J. A.
9
1994
The solution of augmented systems. Zbl 0796.65023
Duff, I. S.
4
1994
Computing selected eigenvalues of sparse unsymmetric matrices using subspace iteration. Zbl 0888.65039
Duff, I. S.; Scott, J. A.
9
1993
Stopping criteria for iterative solvers. Zbl 0749.65023
Arioli, Mario; Duff, Iain; Ruiz, Daniel
18
1992
A block projection method for sparse matrices. Zbl 0761.65015
Arioli, Mario; Duff, Iain; Noailles, Joseph; Ruiz, Daniel
15
1992
The factorization of sparse symmetric indefinite matrices. Zbl 0739.65018
Duff, I. S.; Gould, N. I. M.; Reid, J. K.; Scott, J. A.
24
1991
A set of level 3 basic linear algebra subprograms. Zbl 0900.65115
Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain
139
1990
Algorithm 679: A set of level 3 basic linear algebra subprograms: Model implementation and test programs. Zbl 0900.65116
Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain
18
1990
Solving linear systems on vector and shared memory computers. Zbl 0770.65009
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
15
1990
The solution of large-scale least-squares problems on supercomputers. Zbl 0705.90064
Duff, Iain S.
2
1990
Use of the \(P^ 4\) and \(P^ 5\) algorithms for in-core factorization of sparse matrices. Zbl 0711.65015
Arioli, M.; Duff, I. S.; Gould, N. I. M.; Reid, J. K.
2
1990
Experiments in tearing large sparse systems. Zbl 0723.65025
Arioli, Mario; Duff, Iain S.
2
1990
Sparse matrix test problems. Zbl 0667.65040
Duff, Iain S.; Grimes, Roger G.; Lewis, John G.
100
1989
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, Gérard A.
85
1989
Direct methods for sparse matrices. Paperback ed. (with corrections). Zbl 0666.65024
Duff, I. S.; Erisman, A. M.; Reid, J. K.
64
1989
On the augmented system approach to sparse least-squares problems. Zbl 0678.65024
Arioli, M.; Duff, I. S.; de Rijk, P. P. M.
47
1989
Solving sparse linear systems with sparse backward error. Zbl 0684.65022
Arioli, M.; Demmel, J. W.; Duff, I. S.
37
1989
The use of profile reduction algorithms with a frontal code. Zbl 0725.65045
Duff, I. S.; Reid, J. K.; Scott, J. A.
11
1989
Multiprocessing a sparse matrix code on the Alliant FX/8. Zbl 0683.65015
Duff, Iain S.
5
1989
Remarks on implementations of \(0(n^{1/2}\tau)\) assignment algorithms. Zbl 0648.65041
Duff, Iain S.; Wiberg, Torbjörn
5
1988
The use of linear programming for the solution of sparse sets of nonlinear equations. Zbl 0636.65053
Duff, I. S.; Nocedal, J.; Reid, J. K.
8
1987
Sparse matrix calculations on the CRAY-2. Zbl 0629.65030
Dave, Ameet K.; Duff, Iain S.
3
1987
Direct methods for sparse matrices. Zbl 0604.65011
Duff, I. S.; Erisman, A. M.; Reid, J. K.
211
1986
Parallel implementation of multifrontal schemes. Zbl 0628.65018
Duff, Iain S.
21
1986
Computing the structural index. Zbl 0619.65064
Duff, I. S.; Gear, C. W.
13
1986
Vector and parallel processors in computational science. Proceedings of the Second International Conference on Vector and Parallel Processors in Computational Science, Oxford, August 28–31, 1984. Zbl 0578.00010
1
1985
The multifrontal solution of unsymmetric sets of linear equations. Zbl 0557.65017
Duff, I. S.; Reid, J. K.
27
1984
Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core. Zbl 0541.65017
Duff, I. S.
7
1984
Direct methods for solving sparse systems of linear equations. Zbl 0557.65016
Duff, Iain S.
3
1984
Data structures, algorithms and software for sparse matrices. Zbl 0548.65009
Duff, Iain S.
1
1984
Research directions in sparse matrix computations. Zbl 0595.65025
Duff, Iain S.
1
1984
The multifrontal solution of indefinite sparse symmetric linear equations. Zbl 0515.65022
Duff, I. S.; Reid, J. K.
188
1983
A multifrontal approach for solving sparse linear equations. Zbl 0513.65012
Duff, Iain
2
1983
A note on the work involved in no-fill sparse matrix factorization. Zbl 0513.65018
Duff, I. S.; Reid, J. K.
2
1983
Full matrix techniques in sparse Gaussian elimination. Zbl 0475.65014
Duff, Iain S.
4
1982
Sparse matrix software for elliptic PDE’s. Zbl 0505.65043
Duff, Iain S.
1
1982
A direct method for the solution of sparse linear least squares problems. Zbl 0471.65021
Björck, Å.; Duff, I. S.
19
1980
Some design features of a sparse matrix code. Zbl 0401.65023
Duff, I. S.; Reid, J. K.
15
1979
Direct solution of sets of linear equations whose matrix is sparse, symmetric and indefinite. Zbl 0402.65018
Duff, I. S.; Reid, J. K.; Munksgaard, N.; Nielsen, H. B.
10
1979
...and 11 more Documents
all top 5

Cited by 3,419 Authors

29 Scott, Jennifer
24 Duff, Iain S.
21 Giani, Stefano
19 Sipp, Denis
17 Calo, Victor Manuel
17 Saad, Yousef
16 Allendes, Alejandro
16 Huang, Ting-Zhu
16 Otárola, Enrique
16 Pardo, David
15 Gondzio, Jacek
15 Ying, Lexing
14 Gravvanis, George A.
14 Houston, Paul
14 Paszyński, Maciej
14 Zampini, Stefano
13 Lanteri, Stéphane
12 Benzi, Michele
12 Wick, Thomas
12 Zlatev, Zahari
11 Amestoy, Patrick R.
11 Dongarra, Jack J.
11 Tůma, Miroslav
10 Carpentieri, Bruno
10 Demkowicz, Leszek F.
10 Higham, Nicholas J.
10 L’Excellent, Jean-Yves
10 Manguoglu, Murat
10 Niu, Qiang
9 Bangerth, Wolfgang
9 Buttari, Alfredo
9 di Serafino, Daniela
9 Ferronato, Massimiliano
9 Filippone, Salvatore
9 Jolivet, Pierre
9 Quintana-Ortí, Enrique S.
9 Ruiz-Baier, Ricardo
9 Scacchi, Simone
9 Vuik, Cornelis
9 Xia, Jianlin
8 Bollhöfer, Matthias
8 D’Ambra, Pasqua
8 Giraud, Luc
8 Gould, Nicholas Ian Mark
8 Guo, Xueping
8 Heister, Timo
8 Heltai, Luca
8 Hogg, Jonathan D.
8 Kronbichler, Martin
8 Li, Xiaoye Sherry
8 Maier, Matthias Sebastian
8 Martinsson, Per-Gunnar
8 Orban, Dominique
8 Pelteret, Jean-Paul
8 Sameh, Ahmed H.
8 Turcksin, Bruno
8 Zhang, Jun
7 Arndt, Daniel
7 Benner, Peter
7 Chaillat, Stéphanie
7 Dalcín, Lisandro D.
7 Darve, Eric
7 Dolean, Victorita
7 Feistauer, Miloslav
7 Gatica, Gabriel N.
7 Gratton, Serge
7 Jing, Yanfei
7 Júdice, Joaquim João
7 Li, Liang
7 Mészáros, Csaba
7 Ng, Esmond G.
7 Oliveira, Aurelio Ribeiro Leite
7 Pini, Giorgio
7 Rankin, Richard
7 Rouet, François-Henry
7 Ruiz, Daniel
7 Šístek, Jakub
7 Wei, Yimin
7 Xi, Yuanzhe
6 Antoine, Xavier
6 Bai, Zhongzhi
6 Davis, Timothy Alden
6 Deluzet, Fabrice
6 Fuica, Francisco
6 Gambolati, Giuseppe
6 Gerdts, Matthias
6 Geuzaine, Christophe A.
6 Glockner, Stéphane
6 Lu, Linzhang
6 Mandel, Jan
6 Marek, Ivo
6 Paprzycki, Marcin
6 Pothen, Alex
6 Rheinbach, Oliver
6 Román, Jose E.
6 Simoncini, Valeria
6 Sváček, Petr
6 Tournier, Pierre-Henri
6 van de Geijn, Robert Alexander
6 Van der Vorst, Henk Albertus
...and 3,319 more Authors
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Cited in 271 Serials

170 Journal of Computational Physics
135 SIAM Journal on Scientific Computing
117 Computer Methods in Applied Mechanics and Engineering
117 Journal of Computational and Applied Mathematics
96 Computers & Mathematics with Applications
66 Linear Algebra and its Applications
55 Numerical Algorithms
51 International Journal for Numerical Methods in Engineering
49 Journal of Fluid Mechanics
44 Applied Numerical Mathematics
42 Numerical Linear Algebra with Applications
41 Applied Mathematics and Computation
37 BIT
29 Computers and Fluids
29 Computer Physics Communications
28 Computational Optimization and Applications
25 Journal of Scientific Computing
25 International Journal of Computer Mathematics
24 Optimization Methods & Software
23 SIAM Journal on Matrix Analysis and Applications
22 Numerische Mathematik
21 Mathematical Programming. Series A. Series B
19 Computing
16 Mathematics of Computation
15 International Journal for Numerical Methods in Fluids
15 ACM Transactions on Mathematical Software
15 Mathematics and Computers in Simulation
14 Journal of Optimization Theory and Applications
14 Computational Mechanics
14 Communications in Numerical Methods in Engineering
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Applied Mathematical Modelling
12 European Journal of Operational Research
12 Journal of Numerical Mathematics
11 Annals of Operations Research
11 Computational Geosciences
10 Advances in Computational Mathematics
10 Mathematical Programming Computation
9 Applied Mathematics Letters
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Multiscale Modeling & Simulation
8 Parallel Computing
8 Computational and Applied Mathematics
8 Engineering Analysis with Boundary Elements
7 Discrete Applied Mathematics
7 SIAM Journal on Numerical Analysis
7 SIAM Journal on Algebraic and Discrete Methods
7 Parallel Algorithms and Applications
7 European Journal of Mechanics. B. Fluids
7 Acta Numerica
7 Communications in Computational Physics
6 Mathematical Programming
6 Mathematical and Computer Modelling
6 The Journal of Supercomputing
6 SIAM Review
6 East Asian Journal on Applied Mathematics
5 International Journal for Numerical and Analytical Methods in Geomechanics
5 Calcolo
5 Theoretical Computer Science
5 COMPEL
5 Journal of Economic Dynamics & Control
5 SIAM Journal on Optimization
5 Optimization and Engineering
5 Journal of Applied Mathematics and Computing
4 Operations Research Letters
4 Optimization
4 Computers & Operations Research
4 Journal of Global Optimization
4 Journal of Non-Newtonian Fluid Mechanics
4 SIAM Journal on Applied Mathematics
4 Computational Statistics and Data Analysis
4 Advances in Engineering Software
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 International Journal of Numerical Modelling
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4 Archives of Computational Methods in Engineering
4 Computational Methods in Applied Mathematics
3 Communications on Pure and Applied Mathematics
3 International Journal of Control
3 Information Processing Letters
3 Journal of Engineering Mathematics
3 Automatica
3 Numerical Functional Analysis and Optimization
3 Optimal Control Applications & Methods
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Journal of Symbolic Computation
3 Numerical Methods for Partial Differential Equations
3 International Journal of Foundations of Computer Science
3 Applicable Algebra in Engineering, Communication and Computing
3 Applied and Computational Harmonic Analysis
3 ETNA. Electronic Transactions on Numerical Analysis
3 Reliable Computing
3 Mathematical Problems in Engineering
3 International Journal of Computational Fluid Dynamics
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Multibody System Dynamics
3 Mathematical Methods of Operations Research
3 European Journal of Mechanics. A. Solids
3 Communications in Nonlinear Science and Numerical Simulation
...and 171 more Serials
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Cited in 48 Fields

1,509 Numerical analysis (65-XX)
414 Fluid mechanics (76-XX)
287 Partial differential equations (35-XX)
245 Operations research, mathematical programming (90-XX)
227 Mechanics of deformable solids (74-XX)
142 Linear and multilinear algebra; matrix theory (15-XX)
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29 Ordinary differential equations (34-XX)
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18 Quantum theory (81-XX)
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6 History and biography (01-XX)
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