Edit Profile (opens in new tab) Duff, Iain S. Co-Author Distance Author ID: duff.iain-s Published as: Duff, Iain S.; Duff, I. S.; Duff, Iain; Duff, Jain S.; Duff, I. more...less External Links: MGP · Wikidata Documents Indexed: 135 Publications since 1974, including 5 Books 12 Contributions as Editor Co-Authors: 117 Co-Authors with 112 Joint Publications 3,272 Co-Co-Authors all top 5 Co-Authors 34 single-authored 20 Reid, John 12 Arioli, Mario 11 Amestoy, Patrick R. 11 Giraud, Luc 11 Scott, Jennifer A. 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 all top 5 Serials 23 ACM Transactions on Mathematical Software 13 SIAM Journal on Scientific Computing 11 SIAM Journal on Matrix Analysis and Applications 6 SIAM Journal on Scientific and Statistical Computing 5 Journal of the Institute of Mathematics and its Applications 5 BIT 5 Numerical Linear Algebra with Applications 4 IMA Journal of Numerical Analysis 4 Journal of Computational and Applied Mathematics 3 International Journal for Numerical Methods in Engineering 3 Parallel Computing 2 Journal of Engineering Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Monographs In Numerical Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Mathematics of Computation 1 Computing 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Algebraic and Discrete Methods 1 Annals of Operations Research 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 SIAM Review 1 The Institute of Mathematics and Its Applications Conference Series. New Series 1 Lecture Notes in Computer Science 1 MAA Studies in Mathematics 1 Software - Environments - Tools 1 International Journal for Numerical Methods in Biomedical Engineering 1 Numerical Algebra, Control and Optimization 1 Numerical Mathematics and Scientific Computation 1 The Institute of Mathematics and Its Applications Conference Series all top 5 Fields 142 Numerical analysis (65-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 17 Computer science (68-XX) 12 General and overarching topics; collections (00-XX) 12 Combinatorics (05-XX) 7 Optics, electromagnetic theory (78-XX) 6 Partial differential equations (35-XX) 4 Operations research, mathematical programming (90-XX) 3 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 2,862 times in 2,006 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 448 2001 Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017 Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y. 221 2000 Direct methods for sparse matrices. Zbl 0604.65011 Duff, I. S.; Erisman, A. M.; Reid, J. K. 207 1986 The multifrontal solution of indefinite sparse symmetric linear equations. Zbl 0515.65022 Duff, I. S.; Reid, J. K. 184 1983 A set of level 3 basic linear algebra subprograms. Zbl 0900.65115 Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain 130 1990 An approximate minimum degree ordering algorithm. Zbl 0861.65021 Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S. 104 1996 Sparse matrix test problems. Zbl 0667.65040 Duff, Iain S.; Grimes, Roger G.; Lewis, John G. 100 1989 An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021 Davis, Timothy A.; Duff, Iain S. 99 1997 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. 75 1998 MA57 – a code for the solution of sparse symmetric definite and indefinite systems. Zbl 1070.65525 Duff, Iain S. 74 2004 A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Zbl 0962.65027 Davis, Timothy A.; Duff, Jain S. 66 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. 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. 36 1989 Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050 Carpentieri, B.; Duff, I. S.; Giraud, L. 32 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. 23 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 direct method for the solution of sparse linear least squares problems. Zbl 0471.65021 Björck, Å.; Duff, I. S. 19 1980 A class of spectral two-level preconditioners. Zbl 1048.65043 Carpentieri, B.; Duff, I. S.; Giraud, L. 19 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. 19 1976 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 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 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 15 1990 Some design features of a sparse matrix code. Zbl 0401.65023 Duff, I. S.; Reid, J. K. 15 1979 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 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 The use of profile reduction algorithms with a frontal code. Zbl 0725.65045 Duff, I. S.; Reid, J. K.; Scott, J. A. 11 1989 The design of a new frontal code for solving sparse, unsymmetric systems. Zbl 0884.65018 Duff, I. S.; Scott, J. A. 11 1996 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 Block Lanczos techniques for accelerating the block Cimmino method. Zbl 0839.65037 Arioli, Mario; Duff, Iain S.; Ruiz, Daniel; Sadkane, Miloud 10 1995 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 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 The augmented block Cimmino distributed method. Zbl 1318.65016 Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed 10 2015 The use of multiple fronts in Gaussian elimination. Zbl 0819.65023 Duff, I. S.; Scott, J. A. 9 1994 Computing selected eigenvalues of sparse unsymmetric matrices using subspace iteration. Zbl 0888.65039 Duff, I. S.; Scott, J. A. 9 1993 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 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 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 Preconditioning linear least-squares problems by identifying a basis matrix. Zbl 1325.65041 Arioli, Mario; Duff, Iain S. 8 2015 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 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 Parallel computation of entries of \({A}^{-1}\). Zbl 1318.65015 Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Rouet, François-Henry 7 2015 Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core. Zbl 0541.65017 Duff, I. S. 6 1984 Using spectral low rank preconditioners for large electromagnetic calculations. Zbl 1082.78012 Duff, I. S.; Giraud, L.; Langou, J.; Martin, E. 6 2005 Design, implementation, and analysis of maximum transversal algorithms. Zbl 1365.65124 Duff, Iain S.; Kaya, Kamer; Uçcar, Bora 6 2011 Partitioning strategies for the block Cimmino algorithm. Zbl 1360.65100 Drummond, L. A.; Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed 6 2015 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 6 2012 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 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 Task scheduling in an asynchronous distributed memory multifrontal solver. Zbl 1075.65039 Amestoy, Patrick R.; Duff, Iain S.; Vömel, Christof 5 2005 A synchronization-free algorithm for parallel sparse triangular solves. Zbl 1439.65035 Liu, Weifeng; Li, Ang; Hogg, Jonathan; Duff, Iain S.; Vinter, Brian 5 2016 Preconditioners based on strong subgraphs. Zbl 1286.05085 Duff, Iain S.; Kaya, Kamer 5 2013 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 Sparse numerical linear algebra: Direct methods and preconditioning. Zbl 0881.65030 Duff, Iain S. 4 1997 The solution of augmented systems. Zbl 0796.65023 Duff, I. S. 4 1994 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 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 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 review of frontal methods for solving linear systems. Zbl 0926.65030 Duff, Iain S. 3 1996 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 Full matrix techniques in sparse Gaussian elimination. Zbl 0475.65014 Duff, Iain S. 3 1982 The design and use of a sparse direct solver for skew symmetric matrices. Zbl 1161.65021 Duff, Iain S. 3 2009 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 Sparse matrix proceedings 1978. Zbl 0401.00013 3 1979 Analysis of the solution phase of a parallel multifrontal approach. Zbl 1208.68234 Amestoy, P.; Duff, I. S.; Guermouche, A.; Slavova, Tz. 3 2010 An embedded iterative scheme in electromagnetism. Zbl 1128.78301 Carpentieri, Bruno; Duff, Iain S.; Giraud, Luc; Sylvand, Guillaume 2 2004 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 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 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 2 1997 Incremental norm estimation for dense and sparse matrices. Zbl 1010.65019 Duff, Iain S.; Vömel, Christof 2 2002 On the block triangular form of symmetric matrices. Zbl 1209.05142 Duff, Iain S.; Uçar, Bora 2 2010 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 5 2016 The augmented block Cimmino distributed method. Zbl 1318.65016 Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed 10 2015 Preconditioning linear least-squares problems by identifying a basis matrix. Zbl 1325.65041 Arioli, Mario; Duff, Iain S. 8 2015 Parallel computation of entries of \({A}^{-1}\). Zbl 1318.65015 Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Rouet, François-Henry 7 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 6 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. 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. 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. 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. 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. 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. 74 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. 19 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 448 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. 221 2000 Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050 Carpentieri, B.; Duff, I. S.; Giraud, L. 32 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. 66 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 Numerical linear algebra for high-performance computers. Zbl 0914.65014 Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 75 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. 99 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 2 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. 23 1991 A set of level 3 basic linear algebra subprograms. Zbl 0900.65115 Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain 130 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 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 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. 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. 47 1989 Solving sparse linear systems with sparse backward error. Zbl 0684.65022 Arioli, M.; Demmel, J. W.; Duff, I. S. 36 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. 207 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. 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. 184 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. 3 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 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 3 1979 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,325 Authors 26 Scott, Jennifer A. 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 12 Benzi, Michele 12 Lanteri, Stéphane 12 Zlatev, Zahari 11 Amestoy, Patrick R. 11 Dongarra, Jack J. 11 Tůma, Miroslav 11 Wick, Thomas 10 Carpentieri, Bruno 10 Demkowicz, Leszek F. 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 Higham, Nicholas J. 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 Dolean, Victorita 7 Feistauer, Miloslav 7 Gatica, Gabriel N. 7 Gratton, Serge 7 Jing, Yanfei 7 Júdice, Joaquim João 7 Ng, Esmond G. 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 Darve, Eric 6 Davis, Timothy Alden 6 Fuica, Francisco 6 Gambolati, Giuseppe 6 Gerdts, Matthias 6 Geuzaine, Christophe A. 6 Li, Liang 6 Lu, Linzhang 6 Mandel, Jan 6 Marek, Ivo 6 Mészáros, Csaba 6 Oliveira, Aurelio Ribeiro Leite 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 6 Waisman, Haim 6 Widlund, Olof B. ...and 3,225 more Authors all top 5 Cited in 269 Serials 161 Journal of Computational Physics 135 SIAM Journal on Scientific Computing 116 Computer Methods in Applied Mechanics and Engineering 115 Journal of Computational and Applied Mathematics 95 Computers & Mathematics with Applications 65 Linear Algebra and its Applications 55 Numerical Algorithms 51 International Journal for Numerical Methods in Engineering 48 Journal of Fluid Mechanics 44 Applied Numerical Mathematics 42 Numerical Linear Algebra with Applications 41 Applied Mathematics and Computation 37 BIT 28 Computational Optimization and Applications 27 Computers and Fluids 25 International Journal of Computer Mathematics 24 Optimization Methods & Software 23 SIAM Journal on Matrix Analysis and Applications 23 Journal of Scientific Computing 22 Numerische Mathematik 21 Mathematical Programming. 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Zeitschrift für Angewandte Mathematik und Mechanik 4 International Journal of Numerical Modelling 4 International Journal of Applied Mathematics and Computer Science 4 Engineering Computations 4 Optimization and Engineering 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 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 3 GAMM-Mitteilungen ...and 169 more Serials all top 5 Cited in 48 Fields 1,481 Numerical analysis (65-XX) 404 Fluid mechanics (76-XX) 279 Partial differential equations (35-XX) 239 Operations research, mathematical programming (90-XX) 225 Mechanics of deformable solids (74-XX) 139 Linear and multilinear algebra; matrix theory (15-XX) 128 Computer science (68-XX) 95 Optics, electromagnetic theory (78-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 68 Combinatorics (05-XX) 47 Biology and other natural sciences (92-XX) 44 Systems theory; control (93-XX) 41 Statistics (62-XX) 36 Geophysics (86-XX) 28 Ordinary differential equations (34-XX) 24 Classical thermodynamics, heat transfer (80-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Probability theory and stochastic processes (60-XX) 13 Information and communication theory, circuits (94-XX) 12 Mechanics of particles and systems (70-XX) 12 Quantum theory (81-XX) 11 Integral equations (45-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 6 History and biography (01-XX) 5 Relativity and gravitational theory (83-XX) 4 General and overarching topics; collections (00-XX) 4 Approximations and expansions (41-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Potential theory (31-XX) 3 Astronomy and astrophysics (85-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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