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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 Amestoy, Patrick R.
12 Arioli, Mario
11 Giraud, Luc
11 Scott, Jennifer A.
9 Ruiz, Daniel
6 Carpentieri, Bruno
6 Van der Vorst, Henk Albertus
5 Davis, Timothy Alden
5 Dongarra, Jack J.
5 L’Excellent, Jean-Yves
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 Drummond, L. Anthony
1 Edelman, Alan Stuart
1 Enseeith-Irit
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 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
...and 20 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 2,654 times in 1,831 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
360
2001
Direct methods for sparse matrices. Zbl 0604.65011
Duff, I. S.; Erisman, A. M.; Reid, J. K.
203
1986
Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017
Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y.
196
2000
The multifrontal solution of indefinite sparse symmetric linear equations. Zbl 0515.65022
Duff, I. S.; Reid, J. K.
173
1983
A set of level 3 basic linear algebra subprograms. Zbl 0900.65115
Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain
118
1990
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
98
1996
Sparse matrix test problems. Zbl 0667.65040
Duff, Iain S.; Grimes, Roger G.; Lewis, John G.
98
1989
An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021
Davis, Timothy A.; Duff, Iain S.
91
1997
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, Gérard A.
83
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.
70
1998
MA57 – a code for the solution of sparse symmetric definite and indefinite systems. Zbl 1070.65525
Duff, Iain S.
66
2004
A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Zbl 0962.65027
Davis, Timothy A.; Duff, Jain S.
64
1999
Direct methods for sparse matrices. Paperback ed. (with corrections). Zbl 0666.65024
Duff, I. S.; Erisman, A. M.; Reid, J. K.
62
1989
On algorithms for permuting large entries to the diagonal of a sparse matrix. Zbl 0979.05087
Duff, I. S.; Koster, J.
48
2001
On the augmented system approach to sparse least-squares problems. Zbl 0678.65024
Arioli, M.; Duff, I. S.; de Rijk, P. P. M.
45
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.
45
2005
Algorithm 837: AMD, an approximate minimum degree ordering algorithm. Zbl 1070.65534
Amestoy, Patrick R.; Enseeith-Irit; Davis, Timothy A.; Duff, Iain S.
44
2004
The design and use of algorithms for permuting large entries to the diagonal of sparse matrices. Zbl 0947.65048
Duff, Iain S.; Koster, Jacko
42
1999
Solving sparse linear systems with sparse backward error. Zbl 0684.65022
Arioli, M.; Demmel, J. W.; Duff, I. S.
35
1989
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050
Carpentieri, B.; Duff, I. S.; Giraud, L.
31
2000
An implementation of Tarjan’s algorithm for the block triangularization of a matrix. Zbl 0389.65019
Duff, I. S.; Reid, J. K.
26
1978
The multifrontal solution of unsymmetric sets of linear equations. Zbl 0557.65017
Duff, I. S.; Reid, J. K.
25
1984
Direct methods for sparse matrices. 2nd edition. Zbl 1364.65067
Duff, I. S.; Erisman, A. M.; Reid, J. K.
25
2017
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
23
2001
The factorization of sparse symmetric indefinite matrices. Zbl 0739.65018
Duff, I. S.; Gould, N. I. M.; Reid, J. K.; Scott, J. A.
23
1991
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
Parallel implementation of multifrontal schemes. Zbl 0628.65018
Duff, Iain S.
20
1986
A comparison of some methods for the solution of sparse overdetermined systems of linear equations. Zbl 0329.65026
Duff, I. S.; Reid, J. K.
19
1976
Strategies for scaling and pivoting for sparse symmetric indefinite problems. Zbl 1092.65037
Duff, Iain S.; Pralet, Stéphane
18
2005
A class of spectral two-level preconditioners. Zbl 1048.65043
Carpentieri, B.; Duff, I. S.; Giraud, L.
18
2003
A direct method for the solution of sparse linear least squares problems. Zbl 0471.65021
Björck, Å.; Duff, I. S.
17
1980
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
Stopping criteria for iterative solvers. Zbl 0749.65023
Arioli, Mario; Duff, Iain; Ruiz, Daniel
16
1992
Some design features of a sparse matrix code. Zbl 0401.65023
Duff, I. S.; Reid, J. K.
15
1979
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
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
13
1990
Numerical study on incomplete orthogonal factorization preconditioners. Zbl 1161.65036
Bai, Zhong-Zhi; Duff, Iain S.; Yin, Jun-Feng
13
2009
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.
13
1990
Computing the structural index. Zbl 0619.65064
Duff, I. S.; Gear, C. W.
13
1986
A block projection method for sparse matrices. Zbl 0761.65015
Arioli, Mario; Duff, Iain; Noailles, Joseph; Ruiz, Daniel
13
1992
The design of a new frontal code for solving sparse, unsymmetric systems. Zbl 0884.65018
Duff, I. S.; Scott, J. A.
11
1996
Multifrontal QR factorization in a multiprocessor environment. Zbl 0907.65040
Amestoy, P. R.; Duff, I. S.; Puglisi, C.
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
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
10
2002
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
Sparse symmetric preconditioners for dense linear systems in electromagnetism. Zbl 1164.65340
Carpentieri, B.; Duff, I. S.; Giraud, L.; Magolu monga Made, M.
10
2004
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
Block Lanczos techniques for accelerating the block Cimmino method. Zbl 0839.65037
Arioli, Mario; Duff, Iain S.; Ruiz, Daniel; Sadkane, Miloud
8
1995
Pivot selection and row ordering in Givens reduction on sparse matrices. Zbl 0298.65029
Duff, I. S.
8
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
Using FGMRES to obtain backward stability in mixed precision. Zbl 1171.65018
Arioli, M.; Duff, I. S.
8
2009
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.
8
2007
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
The impact of high-performance computing in the solution of linear systems: Trends and problems. Zbl 0970.65025
Duff, Iain S.
7
2000
Some current approaches to the solution of large sparse systems of linear equations. Zbl 0437.65024
Duff, I. S.
7
1979
Towards stable mixed pivoting strategies for the sequential and parallel solution of sparse symmetric indefinite systems. Zbl 1145.65021
Duff, Iain S.; Pralet, Stéphane
7
2007
The augmented block Cimmino distributed method. Zbl 1318.65016
Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed
7
2015
A class of incomplete orthogonal factorization methods. II: Implemetation and results. Zbl 1080.65028
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J.
6
2005
Using spectral low rank preconditioners for large electromagnetic calculations. Zbl 1082.78012
Duff, I. S.; Giraud, L.; Langou, J.; Martin, E.
6
2005
Parallel computation of entries of \({A}^{-1}\). Zbl 1318.65015
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Rouet, François-Henry
6
2015
Preconditioning linear least-squares problems by identifying a basis matrix. Zbl 1325.65041
Arioli, Mario; Duff, Iain S.
6
2015
Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core. Zbl 0541.65017
Duff, I. S.
6
1984
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
On permutations to block triangular form. Zbl 0353.15020
Duff, I. S.
5
1977
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
5
2012
Task scheduling in an asynchronous distributed memory multifrontal solver. Zbl 1075.65039
Amestoy, Patrick R.; Duff, Iain S.; Vömel, Christof
5
2005
Remarks on implementations of \(0(n^{1/2}\tau)\) assignment algorithms. Zbl 0648.65041
Duff, Iain S.; Wiberg, Torbjörn
5
1988
Multiprocessing a sparse matrix code on the Alliant FX/8. Zbl 0683.65015
Duff, Iain S.
5
1989
Preconditioners based on strong subgraphs. Zbl 1286.05085
Duff, Iain S.; Kaya, Kamer
5
2013
A synchronization-free algorithm for parallel sparse triangular solves. Zbl 1439.65035
Liu, Weifeng; Li, Ang; Hogg, Jonathan; Duff, Iain S.; Vinter, Brian
4
2016
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
A parallel matrix scaling algorithm. Zbl 1204.65040
Amestoy, Patrick R.; Duff, Iain S.; Ruiz, Daniel; Uçar, Bora
4
2008
The solution of augmented systems. Zbl 0796.65023
Duff, I. S.
4
1994
Sparse numerical linear algebra: Direct methods and preconditioning. Zbl 0881.65030
Duff, Iain S.
4
1997
Partitioning strategies for the block Cimmino algorithm. Zbl 1360.65100
Drummond, L. A.; Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed
4
2015
Design, implementation, and analysis of maximum transversal algorithms. Zbl 1365.65124
Duff, Iain S.; Kaya, Kamer; Uçcar, Bora
4
2011
A review of frontal methods for solving linear systems. Zbl 0926.65030
Duff, Iain S.
3
1996
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
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
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
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 design and use of a sparse direct solver for skew symmetric matrices. Zbl 1161.65021
Duff, Iain S.
3
2009
Analysis of the solution phase of a parallel multifrontal approach. Zbl 1208.68234
Amestoy, P.; Duff, I. S.; Guermouche, A.; Slavova, Tz.
3
2010
Sparse matrix calculations on the CRAY-2. Zbl 0629.65030
Dave, Ameet K.; Duff, Iain S.
3
1987
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.
3
2007
Direct methods for solving sparse systems of linear equations. Zbl 0557.65016
Duff, Iain S.
3
1984
Incremental norm estimation for dense and sparse matrices. Zbl 1010.65019
Duff, Iain S.; Vömel, Christof
2
2002
Sparse matrix proceedings 1978. Zbl 0401.00013
2
1979
On the block triangular form of symmetric matrices. Zbl 1209.05142
Duff, Iain S.; Uçar, Bora
2
2010
An embedded iterative scheme in electromagnetism. Zbl 1128.78301
Carpentieri, Bruno; Duff, Iain S.; Giraud, Luc; Sylvand, Guillaume
2
2004
A note on the work involved in no-fill sparse matrix factorization. Zbl 0513.65018
Duff, I. S.; Reid, J. K.
2
1983
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
Solution of sparse quasi-square rectangular systems by Gaussian elimination. Zbl 0903.65035
Cardenal, Jesús; Duff, Iain S.; Jiménez, José M.
1
1998
Robust preconditioning of dense problems from electromagnetics. Zbl 0978.65036
Carpentieri, B.; Duff, I. S.; Giraud, L.
1
2001
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.
25
2017
A synchronization-free algorithm for parallel sparse triangular solves. Zbl 1439.65035
Liu, Weifeng; Li, Ang; Hogg, Jonathan; Duff, Iain S.; Vinter, Brian
4
2016
The augmented block Cimmino distributed method. Zbl 1318.65016
Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed
7
2015
Parallel computation of entries of \({A}^{-1}\). Zbl 1318.65015
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Rouet, François-Henry
6
2015
Preconditioning linear least-squares problems by identifying a basis matrix. Zbl 1325.65041
Arioli, Mario; Duff, Iain S.
6
2015
Partitioning strategies for the block Cimmino algorithm. Zbl 1360.65100
Drummond, L. A.; Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed
4
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
5
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
4
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
13
2009
Using FGMRES to obtain backward stability in mixed precision. Zbl 1171.65018
Arioli, M.; Duff, I. S.
8
2009
The design and use of a sparse direct solver for skew symmetric matrices. Zbl 1161.65021
Duff, Iain S.
3
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.
8
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
7
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.
3
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.
45
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.
6
2005
Using spectral low rank preconditioners for large electromagnetic calculations. Zbl 1082.78012
Duff, I. S.; Giraud, L.; Langou, J.; Martin, E.
6
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.
66
2004
Algorithm 837: AMD, an approximate minimum degree ordering algorithm. Zbl 1070.65534
Amestoy, Patrick R.; Enseeith-Irit; Davis, Timothy A.; Duff, Iain S.
44
2004
Sparse symmetric preconditioners for dense linear systems in electromagnetism. Zbl 1164.65340
Carpentieri, B.; Duff, I. S.; Giraud, L.; Magolu monga Made, M.
10
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.
18
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
10
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
360
2001
On algorithms for permuting large entries to the diagonal of a sparse matrix. Zbl 0979.05087
Duff, I. S.; Koster, J.
48
2001
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
23
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.
196
2000
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050
Carpentieri, B.; Duff, I. S.; Giraud, L.
31
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.
64
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
42
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
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
70
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.
91
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
Sparse numerical linear algebra: Direct methods and preconditioning. Zbl 0881.65030
Duff, Iain S.
4
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
1
1997
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
98
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
The design of a new frontal code for solving sparse, unsymmetric systems. Zbl 0884.65018
Duff, I. S.; Scott, J. A.
11
1996
Multifrontal QR factorization in a multiprocessor environment. Zbl 0907.65040
Amestoy, P. R.; Duff, I. S.; Puglisi, C.
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
8
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
16
1992
A block projection method for sparse matrices. Zbl 0761.65015
Arioli, Mario; Duff, Iain; Noailles, Joseph; Ruiz, Daniel
13
1992
The factorization of sparse symmetric indefinite matrices. Zbl 0739.65018
Duff, I. S.; Gould, N. I. M.; Reid, J. K.; Scott, J. A.
23
1991
A set of level 3 basic linear algebra subprograms. Zbl 0900.65115
Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain
118
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
13
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.
13
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.
98
1989
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, Gérard A.
83
1989
Direct methods for sparse matrices. Paperback ed. (with corrections). Zbl 0666.65024
Duff, I. S.; Erisman, A. M.; Reid, J. K.
62
1989
On the augmented system approach to sparse least-squares problems. Zbl 0678.65024
Arioli, M.; Duff, I. S.; de Rijk, P. P. M.
45
1989
Solving sparse linear systems with sparse backward error. Zbl 0684.65022
Arioli, M.; Demmel, J. W.; Duff, I. S.
35
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.
203
1986
Parallel implementation of multifrontal schemes. Zbl 0628.65018
Duff, Iain S.
20
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.
25
1984
Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core. Zbl 0541.65017
Duff, I. S.
6
1984
Direct methods for solving sparse systems of linear equations. Zbl 0557.65016
Duff, Iain S.
3
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.
173
1983
A note on the work involved in no-fill sparse matrix factorization. Zbl 0513.65018
Duff, I. S.; Reid, J. K.
2
1983
A multifrontal approach for solving sparse linear equations. Zbl 0513.65012
Duff, Iain
1
1983
Full matrix techniques in sparse Gaussian elimination. Zbl 0475.65014
Duff, Iain S.
1
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.
17
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
Some current approaches to the solution of large sparse systems of linear equations. Zbl 0437.65024
Duff, I. S.
7
1979
Sparse matrix proceedings 1978. Zbl 0401.00013
2
1979
...and 8 more Documents
all top 5

Cited by 2,993 Authors

24 Scott, Jennifer A.
23 Duff, Iain S.
18 Giani, Stefano
18 Saad, Yousef
17 Huang, Ting-Zhu
16 Calo, Victor Manuel
15 Allendes, Alejandro
15 Gondzio, Jacek
15 Otárola, Enrique
15 Pardo, David
14 Gravvanis, George A.
14 Houston, Paul
14 Sipp, Denis
14 Ying, Lexing
12 Benzi, Michele
12 Paszyński, Maciej
12 Zampini, Stefano
12 Zlatev, Zahari
11 Dongarra, Jack J.
10 Carpentieri, Bruno
10 Lanteri, Stéphane
10 Niu, Qiang
9 Amestoy, Patrick R.
9 di Serafino, Daniela
9 Manguoglu, Murat
9 Tůma, Miroslav
9 Vuik, Cornelis
9 Wick, Thomas
8 Bangerth, Wolfgang
8 Bollhöfer, Matthias
8 Buttari, Alfredo
8 Demkowicz, Leszek F.
8 Ferronato, Massimiliano
8 Filippone, Salvatore
8 Giraud, Luc
8 Gould, Nicholas Ian Mark
8 Guo, Xueping
8 Higham, Nicholas J.
8 Hogg, Jonathan D.
8 L’Excellent, Jean-Yves
8 Sameh, Ahmed H.
8 Scacchi, Simone
8 Xi, Yuanzhe
8 Xia, Jianlin
8 Zhang, Jun
7 Chaillat, Stéphanie
7 Dalcín, Lisandro D.
7 D’Ambra, Pasqua
7 Gratton, Serge
7 Heister, Timo
7 Heltai, Luca
7 Jing, Yanfei
7 Jolivet, Pierre
7 Júdice, Joaquim João
7 Kronbichler, Martin
7 Li, Xiaoye Sherry
7 Maier, Matthias Sebastian
7 Martinsson, Per-Gunnar
7 Ng, Esmond G.
7 Pelteret, Jean-Paul
7 Pini, Giorgio
7 Quintana-Ortí, Enrique S.
7 Rankin, Richard
7 Šístek, Jakub
7 Turcksin, Bruno
7 Wei, Yimin
6 Antoine, Xavier
6 Arndt, Daniel
6 Bai, Zhongzhi
6 Benner, Peter
6 Boyd, Stephen Poythress
6 Davis, Timothy Alden
6 Dolean, Victorita
6 Feistauer, Miloslav
6 Fuica, Francisco
6 Gambolati, Giuseppe
6 Gerdts, Matthias
6 Li, Liang
6 Li, Ruipeng
6 Lu, Linzhang
6 Mandel, Jan
6 Marek, Ivo
6 Mészáros, Csaba
6 Orban, Dominique
6 Paprzycki, Marcin
6 Pothen, Alex
6 Rheinbach, Oliver
6 Ruiz, Daniel
6 Simoncini, Valeria
6 Sváček, Petr
6 van de Geijn, Robert Alexander
6 Van der Vorst, Henk Albertus
6 Widlund, Olof B.
6 Zhong, Hongxiu
5 Armand, Paul
5 Bientinesi, Paolo
5 Chomaz, Jean-Marc
5 Chow, Edmond G. W.
5 Cliffe, K. Andrew
5 Darbas, Marion
...and 2,893 more Authors
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Cited in 253 Serials

133 Journal of Computational Physics
122 SIAM Journal on Scientific Computing
113 Journal of Computational and Applied Mathematics
101 Computer Methods in Applied Mechanics and Engineering
86 Computers & Mathematics with Applications
63 Linear Algebra and its Applications
52 Numerical Algorithms
44 International Journal for Numerical Methods in Engineering
44 Applied Numerical Mathematics
42 Journal of Fluid Mechanics
42 Numerical Linear Algebra with Applications
41 Applied Mathematics and Computation
36 BIT
28 Computational Optimization and Applications
25 International Journal of Computer Mathematics
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21 Mathematical Programming. Series A. Series B
20 SIAM Journal on Matrix Analysis and Applications
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15 International Journal for Numerical Methods in Fluids
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14 Journal of Optimization Theory and Applications
14 Mathematics and Computers in Simulation
14 Communications in Numerical Methods in Engineering
12 Computer Physics Communications
12 ACM Transactions on Mathematical Software
11 European Journal of Operational Research
11 Mathematical Programming Computation
10 Annals of Operations Research
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10 Journal of Numerical Mathematics
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Applied Mathematics Letters
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9 Advances in Computational Mathematics
8 Parallel Computing
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Multiscale Modeling & Simulation
7 Discrete Applied Mathematics
7 SIAM Journal on Algebraic and Discrete Methods
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6 Mathematical Programming
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6 The Journal of Supercomputing
6 SIAM Journal on Optimization
6 Engineering Analysis with Boundary Elements
6 European Journal of Mechanics. B. Fluids
6 Communications in Computational Physics
6 East Asian Journal on Applied Mathematics
5 International Journal for Numerical and Analytical Methods in Geomechanics
5 Calcolo
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5 SIAM Review
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5 Acta Numerica
4 SIAM Journal on Numerical Analysis
4 Theoretical Computer Science
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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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Communications in Nonlinear Science and Numerical Simulation
3 Computational Methods in Applied Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
3 Algorithms
2 General Relativity and Gravitation
2 Information Processing Letters
2 Journal of the Franklin Institute
...and 153 more Serials
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