Edit Profile (opens in new tab) Dongarra, Jack J. Compute Distance To: Compute Author ID: dongarra.jack-j Published as: Dongarra, Jack; Dongarra, Jack J.; Dongarra, J. J.; Dongarra, J.; Dongara, Jack J. more...less Further Spellings: Донгарра Дж Homepage: http://www.netlib.org/utk/people/JackDongarra/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Awards: Turing Award (2021) Documents Indexed: 137 Publications since 1976, including 11 Books 66 Contributions as Editor Co-Authors: 221 Co-Authors with 195 Joint Publications 3,270 Co-Co-Authors all top 5 Co-Authors 8 single-authored 27 Sloot, Peter M. A. 20 van Albada, Geert Dick 19 Tomov, Stanimire Z. 18 Hammarling, Sven J. 17 Waśniewski, Jerzy 16 Wyrzykowski, Roman 15 Sorensen, Danny C. 13 Karczewski, Konrad 10 Demmel, James Weldon 10 Kurzak, Jakub 10 Luszczek, Piotr 9 Walker, David W. 8 Du Croz, Jeremy J. 8 Haidar, Azzam 8 Yamazaki, Ichitaro 7 Alexandrov, Vassil N. 7 Bubak, Marian 7 Sunderam, Vaidy S. 6 Baboulin, Marc 6 Deelman, Ewa 6 Gates, Mark 6 Langou, Julien 6 Tourancheau, Bernard 5 Bai, Zhaojun 5 Duff, Iain S. 5 Fagg, Graham E. 5 Petitet, Antoine 5 Tan, Chih Jeng Kenneth 4 Abramson, David 4 Bogdanov, Alexander V. 4 Casanova, Henri 4 Chen, Zizhong 4 Choi, Jaeyoung 4 Gorbachev, Yuriy E. 4 Moler, Cleve B. 4 Shi, Yong 4 Van der Vorst, Henk Albertus 4 YarKhan, Asim 4 Zomaya, Albert Y. 3 Abdelfattah, Ahmad 3 Anzt, Hartwig 3 Berry, Michael W. 3 Blackford, L. S. 3 Eijkhout, Victor L. 3 Gustavson, Fred G. 3 Hanson, Richard J. 3 Hernández, Vicente G. 3 Higham, Nicholas J. 3 Hoekstra, Alfons G. 3 Ltaief, Hatem 3 Manchek, Robert 3 Nath, Rajib 3 Ostrouchov, Susan 3 Palma, José M. Laginha M. 3 Romine, Charles H. 3 Vömel, Christof 3 Wang, Lin-Wang 3 Whaley, R. Clint 3 Wilkinson, James Hardy 2 Allen, Gabrielle 2 Arnold, Dorian C. 2 Barrett, Richard K. 2 Beguelin, Adam 2 Bischof, Christian H. 2 Bode, Arndt 2 Boyle, James M. 2 Bukovsky, Antonin 2 Buttari, Alfredo 2 Canning, Andrew 2 Chow, Edmond G. W. 2 Cleary, Andrew J. 2 D’Azevedo, Eduardo F. 2 Garbow, Burton S. 2 Geist, Al 2 Geist, George A. 2 Greenbaum, Anne 2 Henry, Greg M. 2 Johnsson, Lennart 2 Juliano, Benjoe A. 2 Kennedy, Ken 2 Kitowski, Jacek 2 Koelling, D. D. 2 Marques, Osni A. 2 McKenney, Alan 2 Messina, Paul F. 2 Moore, Shirley 2 Nabrzyski, Jarek 2 Paprzycki, Marcin 2 Renner, René S. 2 Robert, Yves 2 Sameh, Ahmed H. 2 Seidel, Edward 2 Seymour, Keith 2 Sidani, Majed 2 Vadhiyar, Sathish S. 2 van de Geijn, Robert Alexander 2 van der Steen, Aad J. 2 Vivien, Frédéric 2 Voigt, Robert G. 2 Wiatr, Kazimierz ...and 121 more Co-Authors all top 5 Serials 57 Lecture Notes in Computer Science 19 Parallel Computing 17 ACM Transactions on Mathematical Software 9 SIAM Journal on Scientific Computing 5 Software - Environments - Tools 4 Journal of Computational Physics 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Scientific and Statistical Computing 3 SIAM Journal on Matrix Analysis and Applications 3 Linear Algebra and its Applications 3 SIAM Review 3 Concurrency and Computation: Practice & Experience 3 Advances in Parallel Computing 2 Computer Physics Communications 2 Numerical Algorithms 2 Acta Numerica 2 Proceedings in Applied Mathematics 1 Computers & Mathematics with Applications 1 Applied Mathematics and Computation 1 IEEE Transactions on Computers 1 SIAM Journal on Numerical Analysis 1 Software. Practice & Experience 1 Applied Numerical Mathematics 1 Journal of Parallel and Distributed Computing 1 FGCS. Future Generation Computer Systems 1 International Journal of Foundations of Computer Science 1 Concurrency: Practice and Experience 1 Numerical Linear Algebra with Applications 1 Mathematical Modelling and Analysis 1 Parallel Processing Letters 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Scientific and Engineering Computation all top 5 Fields 130 Computer science (68-XX) 124 Numerical analysis (65-XX) 57 General and overarching topics; collections (00-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 3 History and biography (01-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Partial differential equations (35-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 2,518 times in 2,028 Documents Cited by ▼ Year ▼ LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 486 1999 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 243 2000 LINPACK, users’ guide. 2nd printing. Zbl 0476.68025Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W. 154 1980 Matrix eigensystem routines - EISPACK guide. 2nd ed. Zbl 0325.65016Smith, B. T.; Boyle, J. M.; Dongarra, J. J.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. 137 1976 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 133 1993 LAPACK user’s guide. 2nd ed. Zbl 0843.65018Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 128 1995 A set of level 3 basic linear algebra subprograms. Zbl 0900.65115Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain 118 1990 ScaLAPACK users’ guide. Incl. 1 CD-ROM. Zbl 0886.65022Blackford, L. S.; Choi, J.; Cleary, A.; D’Azevedo, E.; Demmel, J.; Dhillon, I.; Dongarra, J.; Hammarling, S.; Henry, G.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 117 1997 PVM: Parallel virtual machine. A users’ guide and tutorial for networked parallel computing. Zbl 0849.68032Geist, Al; Beguelin, Adam; Dongarra, Jack; Jiang, Weicheng; Manchek, Robert; Sunderam, Vaidy 94 1994 Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025Dongarra, J. J.; Straughan, B.; Walker, D. W. 85 1996 An extended set of FORTRAN basic linear algebra subprograms. Zbl 0639.65016Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. 71 1988 Matrix eigensystem routines. EISPACK guide extension. Zbl 0368.65020Garbow, B. S.; Boyle, J. M.; Dongarra, J. J.; Moler, C. B. 70 1977 Numerical linear algebra for high-performance computers. Zbl 0914.65014Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 70 1998 Automated empirical optimizations of software and the ATLAS project. Zbl 0971.68033Clint Whaley, R.; Petitet, A.; Dongarra, J. J. 38 2001 Condition numbers of Gaussian random matrices. Zbl 1107.15016Chen, Zizhong; Dongarra, Jack J. 34 2005 Implementing linear algebra algorithms for dense matrices on a vector pipeline machine. Zbl 0539.65009Dongarra, J. J.; Gustavson, F. G.; Karp, A. 27 1984 A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033Dongarra, Jack J.; Sorensen, Danny C. 27 1987 Accelerating scientific computations with mixed precision algorithms. Zbl 1197.65240Baboulin, Marc; Buttari, Alfredo; Dongarra, Jack; Kurzak, Jakub; Langou, Julie; Langou, Julien; Luszczek, Piotr; Tomov, Stanimire 24 2009 Improving the accuracy of computed eigenvalues and eigenvectors. Zbl 0523.65021Dongarra, J. J.; Moler, C. B.; Wilkinsons, J. H. 21 1983 Towards dense linear algebra for hybrid GPU accelerated manycore systems. Zbl 1204.68268Tomov, Stanimire; Dongarra, Jack; Baboulin, Marc 19 2010 On some parallel banded system solvers. Zbl 0572.65015Dongarra, Jack J.; Sameh, Ahmed H. 17 1985 Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J. 16 1989 Mixed-precision Cholesky QR factorization and its case studies on multicore CPU with multiple GPUs. Zbl 1320.65046Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack 15 2015 ScaLAPACK: A portable linear algebra library for distributed memory computers – design issues and performance. Zbl 0926.65148Choi, J.; Demmel, J.; Dhillon, I.; Dongarra, J.; Ostrouchov, S.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 14 1996 Solving linear systems on vector and shared memory computers. Zbl 0770.65009Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 13 1990 The PVM concurrent computing system: Evolution, experiences, and trends. Zbl 0825.68199Sunderam, V. S.; Geist, G. A.; Dongarra, J.; Manchek, R. 13 1994 Algorithm 679: A set of level 3 basic linear algebra subprograms: Model implementation and test programs. Zbl 0900.65116Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain 13 1990 LAPACK95 user’s guide. Zbl 0992.65013Barker, V. A.; Blackford, L. S.; Dongarra, J.; Du Croz, J.; Hammarling, S.; Marinova, M.; Waśniewski, J.; Yalamov, P. 13 2001 High-performance high-resolution semi-Lagrangian tracer transport on a sphere. Zbl 1229.86011White, J. B. III; Dongarra, J. J. 12 2011 Accelerating the reduction to upper Hessenberg, tridiagonal, and bidiagonal forms through hybrid GPU-based computing. Zbl 1214.65020Tomov, Stanimire; Nath, Rajib; Dongarra, Jack 11 2010 State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems. Zbl 1141.82346Vömel, Christof; Tomov, Stanimire Z.; Marques, Osni A.; Canning, A.; Wang, Lin-Wang; Dongarra, Jack J. 11 2008 Using mixed precision for sparse matrix computations to enhance the performance while achieving 64-bit accuracy. Zbl 1190.65117Buttari, Alfredo; Dongarra, Jack; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire 10 2008 Generalized QR factorization and its applications. Zbl 0747.65022Anderson, E.; Bai, Z.; Dongarra, J. 10 1992 Recovery patterns for iterative methods in a parallel unstable environment. Zbl 1159.65318Langou, J.; Chen, Z.; Bosilca, G.; Dongarra, J. 8 2007 A scalable high performant Cholesky factorization for multicore with GPU accelerators. Zbl 1323.65135Ltaief, Hatem; Tomov, Stanimire; Nath, Rajib; Du, Peng; Dongarra, Jack 8 2011 The eigenvalue problem for Hermitian matrices with time reversal symmetry. Zbl 0559.65019Dongarra, J. J.; Gabriel, J. R.; Koelling, D. D.; Wilkinson, J. H. 8 1984 Software libraries for linear algebra computations on high performance computers. Zbl 0874.65014Dongara, Jack J.; Walker, David W. 8 1995 A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architectures. Zbl 0939.65058Tisseur, Françoise; Dongarra, Jack 8 1999 Numerical considerations in computing invariant subspaces. Zbl 0754.65038Dongarra, Jack J.; Hammarling, Sven; Wilkinson, James H. 7 1992 Computing the conditioning of the components of a linear least-squares solution. Zbl 1224.65104Baboulin, Marc; Dongarra, Jack; Gratton, Serge; Langou, Julien 7 2009 The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. Zbl 1410.65114Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro 7 2018 Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C. 7 1986 Solving banded systems on a parallel processor. Zbl 0652.65018Dongarra, Jack J.; Johnsson, Lennart 7 1987 Updating incomplete factorization preconditioners for model order reduction. Zbl 1353.65022Anzt, Hartwig; Chow, Edmond; Saak, Jens; Dongarra, Jack 7 2016 ParILUT – a new parallel threshold ILU factorization. Zbl 1391.65055Anzt, Hartwig; Chow, Edmond; Dongarra, Jack 6 2018 Squeezing the most out of eigenvalue solvers on high-performance computers. Zbl 0587.65027Dongarra, Jack J.; Kaufman, Linda; Hammarling, Sven 6 1986 Improving the accuracy of computed singular values. Zbl 0534.65012Dongarra, J. J. 6 1983 The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H. 6 1997 Reduction to condensed form for the eigenvalue problem on distributed memory architectures. Zbl 0758.65040Dongarra, Jack J.; van de Geijn, Robert A. 5 1992 Numerical linear algebra algorithms and software. Zbl 0965.65049Dongarra, Jack J.; Eijkhout, Victor 5 2000 Solving computational grand challenges using a network of heterogeneous supercomputers. Zbl 0800.68178Beguelin, Adam; Dongarra, Jack; Geist, Al; Manchek, Robert; Sunderam, Vaidy 5 1992 Corrigenda: “An extended set of FORTRAN basic linear algebra subprograms”. Zbl 0668.65024Dongarra, Jack J.; DuCroz, Jeremy; Hammarling, Sven; Hanson, Richard J. 5 1988 A parallel implementation of the nonsymmetric QR algorithm for distributed memory architectures. Zbl 1013.65032Henry, Greg; Watkins, David; Dongarra, Jack 5 2002 An extended set of basic linear algebra subprograms: Model implementation and test programs. Zbl 0639.65017Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. 5 1988 High-performance bidiagonal reduction using tile algorithms on homogeneous multicore architectures. Zbl 1295.65145Ltaief, Hatem; Luszczek, Piotr; Dongarra, Jack 4 2013 A parallel algorithm for the nonsymmetric eigenvalue problem. Zbl 0774.65015Dongarra, Jack J.; Sidani, Majed 4 1993 Accelerating GPU kernels for dense linear algebra. Zbl 1323.65140Nath, Rajib; Tomov, Stanimire; Dongarra, Jack 4 2011 Linear algebra software for large-scale accelerated multicore computing. Zbl 1353.65019Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A. 4 2016 High-performance computing systems: status and outlook. Zbl 1253.68024Dongarra, J. J.; van Der Steen, A. J. 4 2012 A parallel algorithm for the reduction of a nonsymmetric matrix to block upper-Hessenberg form. Zbl 0873.65032Berry, Michael W.; Dongarra, Jack J.; Kim, Youngbae 4 1995 Linear algebra on high performance computers. Zbl 0628.65016Dongarra, Jack J.; Sorensen, Danny C. 4 1986 Unrolling loops in FORTRAN. Zbl 0393.68011Dongarra, J. J.; Hinds, A. R. 4 1979 Telescoping languages: A strategy for automatic generation of scientific problem-solving systems from annotated libraries. Zbl 1006.68025Kennedy, Ken; Broom, Bradley; Cooper, Keith; Dongarra, Jack; Fowler, Rob; Gannon, Dennis; Johnsson, Lennart; Mellor-Crummey, John; Torczon, Linda 4 2001 Algorithmic bombardment for the iterative solution of linear systems: A poly-iterative approach. Zbl 0866.65027Barrett, Richard; Berry, Michael; Dongarra, Jack; Eijkhout, Victor; Romine, Charles 4 1996 A collection of parallel linear equations routines for the Denelcor HEP. Zbl 0547.65024Dongarra, Jack J.; Hiromoto, Robert E. 3 1984 The use of bulk states to accelerate the band edge state calculation of a semiconductor quantum dot. Zbl 1119.82040Vömel, Christof; Tomov, Stanimire Z.; Wang, Lin-Wang; Marques, Osni A.; Dongarra, Jack J. 3 2007 Accelerating linear system solutions using randomization techniques. Zbl 1295.65134Baboulin, Marc; Dongarra, Jack; Herrmann, Julien; Tomov, Stanimire 3 2013 Accelerating numerical dense linear algebra calculations with GPUs. Zbl 1317.65078Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro 3 2014 Toward a high performance tile divide and conquer algorithm for the dense symmetric eigenvalue problem. Zbl 1261.65038Haidar, Azzam; Ltaief, Hatem; Dongarra, Jack 3 2012 Implementing dense linear algebra algorithms using multitasking on the CRAY X-MP-4 (or approaching the GIGAFLOP). Zbl 0591.65026Dongarra, Jack J.; Hewitt, Tom 3 1986 The design and implementation of the parallel out-of-core scaLAPACK LU, QR, and Cholesky factorization routines. Zbl 1008.68577D’Azevedo, Eduardo; Dongarra, Jack 3 2001 Experiments with scheduling using simulated annealing in a grid environment. Zbl 1024.68889YarKhan, Asim; Dongarra, Jack J. 3 2002 Overview of GridRPC: A remote procedure call API for grid computing. Zbl 1024.68846Seymour, Keith; Nakada, Hidemoto; Matsuoka, Satoshi; Dongarra, Jack; Lee, Craig; Casanova, Henri 3 2002 Parallel matrix transpose algorithms on distributed memory concurrent computers. Zbl 0874.68129Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. 3 1995 Towards an accurate model for collective communications. Zbl 0987.68982Vadhiyar, Sathish S.; Fagg, Graham E.; Dongarra, Jack J. 3 2001 PLASMA: Parallel linear algebra software for multicore using OpenMP. Zbl 1471.65029Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Wu, Panruo; Yamazaki, Ichitaro; Yarkhan, Asim; Abalenkovs, Maksims; Bagherpour, Negin; Hammarling, Sven; Šístek, Jakub; Stevens, David; Zounon, Mawussi; Relton, Samuel D. 3 2019 The design of a parallel dense linear algebra software library: Reduction to Hessenberg, tridiagonal, and bidiagonal form. Zbl 0839.65050Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. 2 1995 Communication-avoiding symmetric-indefinite factorization. Zbl 1317.65074Ballard, Grey; Becker, Dulceneia; Demmel, James; Dongarra, Jack; Druinsky, Alex; Peled, Inon; Schwartz, Oded; Toledo, Sivan; Yamazaki, Ichitaro 2 2014 Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems. Zbl 1472.65174Haidar, Azzam; Bayraktar, Harun; Tomov, Stanimire; Dongarra, Jack; Higham, Nicholas J. 2 2020 Stability and performance of various singular value QR implementations on multicore CPU with a GPU. Zbl 1391.65093Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack 2 2016 Numerical algorithms for high-performance computational science. Zbl 1462.65231Dongarra, Jack; Grigori, Laura; Higham, Nicholas J. 2 2020 Key concepts for parallel out-of-core LU factorization. Zbl 1010.68539Dongarra, J. J.; Hammarling, S.; Walker, D. W. 2 1998 Applied parallel computing: industrial computation and optimization. Third international workshop, PARA ’96, Lyngby, Denmark, August 18–21, 1996. Proceedings. Zbl 0856.00039 2 1996 Solving the secular equation including spin orbit coupling for systems with inversion and time reversal symmetry. Zbl 0541.65088Dongarra, J. J.; Gabriel, J. R.; Koelling, D. D.; Wilkinson, J. H. 2 1984 Algorithm 710: FORTRAN subroutines for computing the eigenvalues and eigenvectors of a general matrix by reduction to general tridiagonal form. Zbl 0892.65024Dongarra, J. J.; Geist, G. A.; Romine, C. H. 2 1992 Key concepts for parallel out-of-core LU factorization. Zbl 0906.68036Dongarra, Jack J.; Hammarling, Sven; Walker, David W. 2 1997 Computational science – ICCS 2007. 7th international conference, Beijing, China, May 27–30, 2007. Proceedings, Part III. Zbl 1137.68309 1 2007 Eigenvalue computation with NetSolve global computing system. Zbl 1142.65332Shahzadeh-Fazeli, S.-A.; Emad, Nahid; Dongarra, Jack 1 2006 Towards an efficient tile matrix inversion of symmetric positive definite matrices on multicore architectures. Zbl 1323.65022Agullo, Emmanuel; Bouwmeester, Henricus; Dongarra, Jack; Kurzak, Jakub; Langou, Julien; Rosenberg, Lee 1 2011 Computational Science - ICCS 2001. International conference, San Francisco, CA, USA, May 28–30, 2001. Proceedings. Part 2. Zbl 0968.68554 1 2001 Computer benchmarks. Zbl 0799.68009 1 1993 LAPACK for distributed memory architectures: Progress report. Zbl 0800.68153Anderson, Ed; Benzoni, Annamaria; Dongarra, Jack; Moulton, Steve; Ostrouchov, Susan; Tourancheau, Bernard; van de Geijn, Robert 1 1992 Performance of LAPACK. Zbl 0832.65023Dongarra, Jack 1 1994 High-performance matrix-matrix multiplications of very small matrices. Zbl 1439.65061Masliah, Ian; Abdelfattah, Ahmad; Haidar, A.; Tomov, S.; Baboulin, Marc; Falcou, J.; Dongarra, J. 1 2016 Increasing the performance of mathematical software through high-level modularity. Zbl 0554.65019Dongarra, Jack J. 1 1984 Numerically stable real number codes based on random matrices. Zbl 1129.65314Chen, Zizhong; Dongarra, Jack 1 2005 Comparison of nonlinear conjugate-gradient methods for computing the electronic properties of nanostructure architectures. Zbl 1120.78309Tomov, Stanimire; Langou, Julien; Canning, Andrew; Wang, Lin-Wang; Dongarra, Jack 1 2005 Review of performance analysis tools for MPI parallel programs. Zbl 1005.68971Moore, Shirley; Cronk, David; London, Kevin; Dongarra, Jack 1 2001 Middleware for the use of storage in communication. Zbl 1043.68019Beck, Micah; Arnold, Dorian; Bassi, Alessandro; Berman, Fran; Casanova, Henri; Dongarra, Jack; Moore, Terry; Obertelli, Graziano; Plank, James; Swany, Martin; Vadhiyar, Sathish; Wolski, Rich 1 2002 High-performance computing trends. Zbl 0947.68510Dongarra, Jack J.; Meuer, Hans W.; Simon, Horst D.; Strohmaier, Erich 1 1998 Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems. Zbl 1472.65174Haidar, Azzam; Bayraktar, Harun; Tomov, Stanimire; Dongarra, Jack; Higham, Nicholas J. 2 2020 Numerical algorithms for high-performance computational science. Zbl 1462.65231Dongarra, Jack; Grigori, Laura; Higham, Nicholas J. 2 2020 PLASMA: Parallel linear algebra software for multicore using OpenMP. Zbl 1471.65029Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Wu, Panruo; Yamazaki, Ichitaro; Yarkhan, Asim; Abalenkovs, Maksims; Bagherpour, Negin; Hammarling, Sven; Šístek, Jakub; Stevens, David; Zounon, Mawussi; Relton, Samuel D. 3 2019 The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. Zbl 1410.65114Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro 7 2018 ParILUT – a new parallel threshold ILU factorization. Zbl 1391.65055Anzt, Hartwig; Chow, Edmond; Dongarra, Jack 6 2018 Updating incomplete factorization preconditioners for model order reduction. Zbl 1353.65022Anzt, Hartwig; Chow, Edmond; Saak, Jens; Dongarra, Jack 7 2016 Linear algebra software for large-scale accelerated multicore computing. Zbl 1353.65019Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A. 4 2016 Stability and performance of various singular value QR implementations on multicore CPU with a GPU. Zbl 1391.65093Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack 2 2016 High-performance matrix-matrix multiplications of very small matrices. Zbl 1439.65061Masliah, Ian; Abdelfattah, Ahmad; Haidar, A.; Tomov, S.; Baboulin, Marc; Falcou, J.; Dongarra, J. 1 2016 Mixed-precision Cholesky QR factorization and its case studies on multicore CPU with multiple GPUs. Zbl 1320.65046Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack 15 2015 Computing least squares condition numbers on hybrid multicore/GPU systems. Zbl 1331.65066Baboulin, M.; Dongarra, J.; Lacroix, R. 1 2015 Accelerating numerical dense linear algebra calculations with GPUs. Zbl 1317.65078Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro 3 2014 Communication-avoiding symmetric-indefinite factorization. Zbl 1317.65074Ballard, Grey; Becker, Dulceneia; Demmel, James; Dongarra, Jack; Druinsky, Alex; Peled, Inon; Schwartz, Oded; Toledo, Sivan; Yamazaki, Ichitaro 2 2014 High-performance bidiagonal reduction using tile algorithms on homogeneous multicore architectures. Zbl 1295.65145Ltaief, Hatem; Luszczek, Piotr; Dongarra, Jack 4 2013 Accelerating linear system solutions using randomization techniques. Zbl 1295.65134Baboulin, Marc; Dongarra, Jack; Herrmann, Julien; Tomov, Stanimire 3 2013 High-performance computing systems: status and outlook. Zbl 1253.68024Dongarra, J. J.; van Der Steen, A. J. 4 2012 Toward a high performance tile divide and conquer algorithm for the dense symmetric eigenvalue problem. Zbl 1261.65038Haidar, Azzam; Ltaief, Hatem; Dongarra, Jack 3 2012 High-performance high-resolution semi-Lagrangian tracer transport on a sphere. Zbl 1229.86011White, J. B. III; Dongarra, J. J. 12 2011 A scalable high performant Cholesky factorization for multicore with GPU accelerators. Zbl 1323.65135Ltaief, Hatem; Tomov, Stanimire; Nath, Rajib; Du, Peng; Dongarra, Jack 8 2011 Accelerating GPU kernels for dense linear algebra. Zbl 1323.65140Nath, Rajib; Tomov, Stanimire; Dongarra, Jack 4 2011 Towards an efficient tile matrix inversion of symmetric positive definite matrices on multicore architectures. Zbl 1323.65022Agullo, Emmanuel; Bouwmeester, Henricus; Dongarra, Jack; Kurzak, Jakub; Langou, Julien; Rosenberg, Lee 1 2011 Towards dense linear algebra for hybrid GPU accelerated manycore systems. Zbl 1204.68268Tomov, Stanimire; Dongarra, Jack; Baboulin, Marc 19 2010 Accelerating the reduction to upper Hessenberg, tridiagonal, and bidiagonal forms through hybrid GPU-based computing. Zbl 1214.65020Tomov, Stanimire; Nath, Rajib; Dongarra, Jack 11 2010 Rectangular full packed format for Cholesky’s algorithm: factorization, solution, and inversion. Zbl 1364.65069Gustavson, Fred G.; Waśniewski, Jerzy; Dongarra, Jack J.; Langou, Julien 1 2010 Accelerating scientific computations with mixed precision algorithms. Zbl 1197.65240Baboulin, Marc; Buttari, Alfredo; Dongarra, Jack; Kurzak, Jakub; Langou, Julie; Langou, Julien; Luszczek, Piotr; Tomov, Stanimire 24 2009 Computing the conditioning of the components of a linear least-squares solution. Zbl 1224.65104Baboulin, Marc; Dongarra, Jack; Gratton, Serge; Langou, Julien 7 2009 State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems. Zbl 1141.82346Vömel, Christof; Tomov, Stanimire Z.; Marques, Osni A.; Canning, A.; Wang, Lin-Wang; Dongarra, Jack J. 11 2008 Using mixed precision for sparse matrix computations to enhance the performance while achieving 64-bit accuracy. Zbl 1190.65117Buttari, Alfredo; Dongarra, Jack; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire 10 2008 Recovery patterns for iterative methods in a parallel unstable environment. Zbl 1159.65318Langou, J.; Chen, Z.; Bosilca, G.; Dongarra, J. 8 2007 The use of bulk states to accelerate the band edge state calculation of a semiconductor quantum dot. Zbl 1119.82040Vömel, Christof; Tomov, Stanimire Z.; Wang, Lin-Wang; Marques, Osni A.; Dongarra, Jack J. 3 2007 Computational science – ICCS 2007. 7th international conference, Beijing, China, May 27–30, 2007. Proceedings, Part III. Zbl 1137.68309 1 2007 Eigenvalue computation with NetSolve global computing system. Zbl 1142.65332Shahzadeh-Fazeli, S.-A.; Emad, Nahid; Dongarra, Jack 1 2006 Condition numbers of Gaussian random matrices. Zbl 1107.15016Chen, Zizhong; Dongarra, Jack J. 34 2005 Numerically stable real number codes based on random matrices. Zbl 1129.65314Chen, Zizhong; Dongarra, Jack 1 2005 Comparison of nonlinear conjugate-gradient methods for computing the electronic properties of nanostructure architectures. Zbl 1120.78309Tomov, Stanimire; Langou, Julien; Canning, Andrew; Wang, Lin-Wang; Dongarra, Jack 1 2005 A parallel implementation of the nonsymmetric QR algorithm for distributed memory architectures. Zbl 1013.65032Henry, Greg; Watkins, David; Dongarra, Jack 5 2002 Experiments with scheduling using simulated annealing in a grid environment. Zbl 1024.68889YarKhan, Asim; Dongarra, Jack J. 3 2002 Overview of GridRPC: A remote procedure call API for grid computing. Zbl 1024.68846Seymour, Keith; Nakada, Hidemoto; Matsuoka, Satoshi; Dongarra, Jack; Lee, Craig; Casanova, Henri 3 2002 Middleware for the use of storage in communication. Zbl 1043.68019Beck, Micah; Arnold, Dorian; Bassi, Alessandro; Berman, Fran; Casanova, Henri; Dongarra, Jack; Moore, Terry; Obertelli, Graziano; Plank, James; Swany, Martin; Vadhiyar, Sathish; Wolski, Rich 1 2002 Automated empirical optimizations of software and the ATLAS project. Zbl 0971.68033Clint Whaley, R.; Petitet, A.; Dongarra, J. J. 38 2001 LAPACK95 user’s guide. Zbl 0992.65013Barker, V. A.; Blackford, L. S.; Dongarra, J.; Du Croz, J.; Hammarling, S.; Marinova, M.; Waśniewski, J.; Yalamov, P. 13 2001 Telescoping languages: A strategy for automatic generation of scientific problem-solving systems from annotated libraries. Zbl 1006.68025Kennedy, Ken; Broom, Bradley; Cooper, Keith; Dongarra, Jack; Fowler, Rob; Gannon, Dennis; Johnsson, Lennart; Mellor-Crummey, John; Torczon, Linda 4 2001 The design and implementation of the parallel out-of-core scaLAPACK LU, QR, and Cholesky factorization routines. Zbl 1008.68577D’Azevedo, Eduardo; Dongarra, Jack 3 2001 Towards an accurate model for collective communications. Zbl 0987.68982Vadhiyar, Sathish S.; Fagg, Graham E.; Dongarra, Jack J. 3 2001 Computational Science - ICCS 2001. International conference, San Francisco, CA, USA, May 28–30, 2001. Proceedings. Part 2. Zbl 0968.68554 1 2001 Review of performance analysis tools for MPI parallel programs. Zbl 1005.68971Moore, Shirley; Cronk, David; London, Kevin; Dongarra, Jack 1 2001 HARNESS and fault tolerant MPI. Zbl 0982.68066Fagg, G. E.; Bukovsky, A.; Dongarra, J. J. 1 2001 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 243 2000 Numerical linear algebra algorithms and software. Zbl 0965.65049Dongarra, Jack J.; Eijkhout, Victor 5 2000 LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 486 1999 A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architectures. Zbl 0939.65058Tisseur, Françoise; Dongarra, Jack 8 1999 Numerical linear algebra for high-performance computers. Zbl 0914.65014Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 70 1998 Key concepts for parallel out-of-core LU factorization. Zbl 1010.68539Dongarra, J. J.; Hammarling, S.; Walker, D. W. 2 1998 High-performance computing trends. Zbl 0947.68510Dongarra, Jack J.; Meuer, Hans W.; Simon, Horst D.; Strohmaier, Erich 1 1998 Using agent-based software for scientific computing in the NetSolve system. Zbl 0909.68012Casanova, Henri; Dongarra, Jack 1 1998 ScaLAPACK users’ guide. Incl. 1 CD-ROM. Zbl 0886.65022Blackford, L. S.; Choi, J.; Cleary, A.; D’Azevedo, E.; Demmel, J.; Dhillon, I.; Dongarra, J.; Hammarling, S.; Henry, G.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 117 1997 The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H. 6 1997 Key concepts for parallel out-of-core LU factorization. Zbl 0906.68036Dongarra, Jack J.; Hammarling, Sven; Walker, David W. 2 1997 Practical experience in the numerical dangers of heterogeneous computing. Zbl 0883.68006Blackford, L. S.; Cleary, A.; Petitet, A.; Demmel, J.; Dhillon, I.; Ren, H.; Stanley, K.; Dongarra, J.; Hammarling, S. 1 1997 Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025Dongarra, J. J.; Straughan, B.; Walker, D. W. 85 1996 ScaLAPACK: A portable linear algebra library for distributed memory computers – design issues and performance. Zbl 0926.65148Choi, J.; Demmel, J.; Dhillon, I.; Dongarra, J.; Ostrouchov, S.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 14 1996 Algorithmic bombardment for the iterative solution of linear systems: A poly-iterative approach. Zbl 0866.65027Barrett, Richard; Berry, Michael; Dongarra, Jack; Eijkhout, Victor; Romine, Charles 4 1996 Applied parallel computing: industrial computation and optimization. Third international workshop, PARA ’96, Lyngby, Denmark, August 18–21, 1996. Proceedings. Zbl 0856.00039 2 1996 LAPACK user’s guide. 2nd ed. Zbl 0843.65018Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 128 1995 Software libraries for linear algebra computations on high performance computers. Zbl 0874.65014Dongara, Jack J.; Walker, David W. 8 1995 A parallel algorithm for the reduction of a nonsymmetric matrix to block upper-Hessenberg form. Zbl 0873.65032Berry, Michael W.; Dongarra, Jack J.; Kim, Youngbae 4 1995 Parallel matrix transpose algorithms on distributed memory concurrent computers. Zbl 0874.68129Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. 3 1995 The design of a parallel dense linear algebra software library: Reduction to Hessenberg, tridiagonal, and bidiagonal form. Zbl 0839.65050Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. 2 1995 Software distribution using Xnetlib. Zbl 0884.68015Dongarra, J.; Rowan, T.; Wade, R. 1 1995 PVM: Parallel virtual machine. A users’ guide and tutorial for networked parallel computing. Zbl 0849.68032Geist, Al; Beguelin, Adam; Dongarra, Jack; Jiang, Weicheng; Manchek, Robert; Sunderam, Vaidy 94 1994 The PVM concurrent computing system: Evolution, experiences, and trends. Zbl 0825.68199Sunderam, V. S.; Geist, G. A.; Dongarra, J.; Manchek, R. 13 1994 Performance of LAPACK. Zbl 0832.65023Dongarra, Jack 1 1994 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 133 1993 A parallel algorithm for the nonsymmetric eigenvalue problem. Zbl 0774.65015Dongarra, Jack J.; Sidani, Majed 4 1993 Computer benchmarks. Zbl 0799.68009 1 1993 Generalized QR factorization and its applications. Zbl 0747.65022Anderson, E.; Bai, Z.; Dongarra, J. 10 1992 Numerical considerations in computing invariant subspaces. Zbl 0754.65038Dongarra, Jack J.; Hammarling, Sven; Wilkinson, James H. 7 1992 Reduction to condensed form for the eigenvalue problem on distributed memory architectures. Zbl 0758.65040Dongarra, Jack J.; van de Geijn, Robert A. 5 1992 Solving computational grand challenges using a network of heterogeneous supercomputers. Zbl 0800.68178Beguelin, Adam; Dongarra, Jack; Geist, Al; Manchek, Robert; Sunderam, Vaidy 5 1992 Algorithm 710: FORTRAN subroutines for computing the eigenvalues and eigenvectors of a general matrix by reduction to general tridiagonal form. Zbl 0892.65024Dongarra, J. J.; Geist, G. A.; Romine, C. H. 2 1992 LAPACK for distributed memory architectures: Progress report. Zbl 0800.68153Anderson, Ed; Benzoni, Annamaria; Dongarra, Jack; Moulton, Steve; Ostrouchov, Susan; Tourancheau, Bernard; van de Geijn, Robert 1 1992 A parallel algorithm for the non-symmetric eigenvalue problem. Zbl 0797.65036Dongarra, J. J.; Sidani, M. 1 1992 A set of level 3 basic linear algebra subprograms. Zbl 0900.65115Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain 118 1990 Solving linear systems on vector and shared memory computers. Zbl 0770.65009Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 13 1990 Algorithm 679: A set of level 3 basic linear algebra subprograms: Model implementation and test programs. Zbl 0900.65116Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain 13 1990 Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J. 16 1989 An extended set of FORTRAN basic linear algebra subprograms. Zbl 0639.65016Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. 71 1988 Corrigenda: “An extended set of FORTRAN basic linear algebra subprograms”. Zbl 0668.65024Dongarra, Jack J.; DuCroz, Jeremy; Hammarling, Sven; Hanson, Richard J. 5 1988 An extended set of basic linear algebra subprograms: Model implementation and test programs. Zbl 0639.65017Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. 5 1988 Programming methodology and performance issues for advanced computer architectures. Zbl 0656.68035Dongarra, Jack J.; Sorensen, Danny C.; Connolly, Kathryn; Patterson, Jim 1 1988 A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033Dongarra, Jack J.; Sorensen, Danny C. 27 1987 Solving banded systems on a parallel processor. Zbl 0652.65018Dongarra, Jack J.; Johnsson, Lennart 7 1987 Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C. 7 1986 Squeezing the most out of eigenvalue solvers on high-performance computers. Zbl 0587.65027Dongarra, Jack J.; Kaufman, Linda; Hammarling, Sven 6 1986 Linear algebra on high performance computers. Zbl 0628.65016Dongarra, Jack J.; Sorensen, Danny C. 4 1986 Implementing dense linear algebra algorithms using multitasking on the CRAY X-MP-4 (or approaching the GIGAFLOP). Zbl 0591.65026Dongarra, Jack J.; Hewitt, Tom 3 1986 On some parallel banded system solvers. Zbl 0572.65015Dongarra, Jack J.; Sameh, Ahmed H. 17 1985 Implementing linear algebra algorithms for dense matrices on a vector pipeline machine. Zbl 0539.65009Dongarra, J. J.; Gustavson, F. G.; Karp, A. 27 1984 The eigenvalue problem for Hermitian matrices with time reversal symmetry. Zbl 0559.65019Dongarra, J. J.; Gabriel, J. R.; Koelling, D. D.; Wilkinson, J. H. 8 1984 A collection of parallel linear equations routines for the Denelcor HEP. Zbl 0547.65024Dongarra, Jack J.; Hiromoto, Robert E. 3 1984 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,605 Authors 28 Dongarra, Jack J. 19 Benner, Peter 19 Quintana-Ortí, Enrique S. 18 Straughan, Brian 18 Zlatev, Zahari 15 Hill, Antony A. 15 Nakatsukasa, Yuji 14 Higham, Nicholas J. 14 Pan, Victor Yakovlevich 13 Wei, Yimin 11 Aishima, Kensuke 11 Lin, Wen-Wei 11 Saad, Yousef 10 Garcia, Roberto D. M. 10 Kressner, Daniel 10 Li, Rencang 10 Mehrmann, Volker 10 Petkov, Petko Hr. 10 Reichel, Lothar 10 Wang, Weichung 9 Golub, Gene Howard 9 Jia, Zhongxiao 9 Konstantinov, Mikhail Mikhajlov 9 Pini, Giorgio 8 Bai, Zhaojun 8 Demmel, James Weldon 8 Keyes, David Elliot 8 Nechepurenko, Yuri M. 8 Ogita, Takeshi 8 Paprzycki, Marcin 8 Quintana-Ortí, Gregorio 8 Román, Jose E. 8 Tomov, Stanimire Z. 8 Wittum, Gabriel 7 Agullo, Emmanuel 7 Arias, Enrique 7 Bientinesi, Paolo 7 Calvetti, Daniela 7 Christov, Nicolai D. 7 Giraud, Luc 7 Hernández, Vicente G. 7 Kågström, Bo 7 Li, Tien-Yien 7 Sameh, Ahmed H. 7 Scott, Jennifer A. 7 Van Dooren, Paul M. 7 Wu, Gang 6 Byers, Ralph 6 D’Azevedo, Eduardo F. 6 Drmač, Zlatko 6 Faragó, István 6 Ibáñez González, Jacinto Javier 6 Laub, Alan J. 6 Logashenko, Dmitry 6 Ltaief, Hatem 6 Lu, Linzhang 6 Siewert, Charles E. 6 Simoncini, Valeria 6 Stathopoulos, Andreas 6 van de Geijn, Robert Alexander 6 Van Huffel, Sabine 6 Yamazaki, Ichitaro 6 Yang, Chao 6 Zhang, Lei-Hong 5 Aliaga, José Ignacio 5 Arndt, Daniel 5 Bangerth, Wolfgang 5 Bergamaschi, Luca 5 Capone, Florinda 5 Chang, Min-Hsing 5 Demyanko, Kirill V. 5 Gambolati, Giuseppe 5 Gratton, Serge 5 Gravvanis, George A. 5 Grigori, Laura 5 Haidar, Azzam 5 Havasi, Ágnes 5 Heister, Timo 5 Heltai, Luca 5 Hoffmann, Walter 5 Huang, Tsungming 5 Karlsson, Lars 5 Kontoghiorghes, Erricos John 5 Kronbichler, Martin 5 Lin, Lin 5 Maier, Matthias Sebastian 5 Manguoglu, Murat 5 O’Leary, Dianne P. 5 Papadrakakis, Manolis 5 Pelteret, Jean-Paul 5 Robert, Yves 5 Shao, Meiyue 5 Sogabe, Tomohiro 5 Sorensen, Danny C. 5 Tabata, Masahisa 5 Turcksin, Bruno 5 Van der Vorst, Henk Albertus 5 Vidal, Antonio Manuel 5 Vuik, Cornelis 5 Walker, David W. ...and 3,505 more Authors all top 5 Cited in 304 Serials 140 Journal of Computational Physics 131 Journal of Computational and Applied Mathematics 99 Linear Algebra and its Applications 90 SIAM Journal on Scientific Computing 59 Computer Methods in Applied Mechanics and Engineering 58 Computers & Mathematics with Applications 58 Computer Physics Communications 56 Numerical Linear Algebra with Applications 41 Applied Mathematics and Computation 41 International Journal for Numerical Methods in Engineering 41 Applied Numerical Mathematics 38 BIT 38 Numerical Algorithms 35 SIAM Journal on Matrix Analysis and Applications 33 Journal of Scientific Computing 31 Journal of Fluid Mechanics 29 Numerische Mathematik 26 Computers and Fluids 24 Mathematics of Computation 19 ACM Transactions on Mathematical Software 19 Computing 18 Engineering Analysis with Boundary Elements 18 Optimization Methods & Software 16 Computational Statistics and Data Analysis 15 Japan Journal of Industrial and Applied Mathematics 15 International Journal of Computer Mathematics 14 International Journal of Control 14 Theoretical Computer Science 13 International Journal for Numerical Methods in Fluids 13 Mathematics and Computers in Simulation 13 Computational Mechanics 12 Acta Mechanica 12 Automatica 12 Computational Optimization and Applications 12 Physics of Fluids 11 Journal of Optimization Theory and Applications 11 Physica D 11 Parallel Computing 11 Parallel Algorithms and Applications 10 Mathematical and Computer Modelling 10 Journal of Parallel and Distributed Computing 10 European Journal of Operational Research 10 Mathematical Programming. 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Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Numerical Analysis 4 Journal of Symbolic Computation 4 Journal of Economic Dynamics & Control 4 Neural Networks 4 Machine Learning 4 SIAM Review 4 Advances in Engineering Software 4 Computational and Applied Mathematics 4 Multibody System Dynamics 4 Communications in Nonlinear Science and Numerical Simulation 4 Combustion Theory and Modelling 4 Foundations of Computational Mathematics 4 Mathematical Programming Computation 4 Statistics and Computing 4 Special Matrices 3 Journal of Mathematical Physics 3 Theoretical and Computational Fluid Dynamics 3 Information Sciences ...and 204 more Serials all top 5 Cited in 49 Fields 1,367 Numerical analysis (65-XX) 324 Fluid mechanics (76-XX) 278 Linear and multilinear algebra; matrix theory (15-XX) 234 Computer science (68-XX) 174 Partial differential equations (35-XX) 142 Operations research, mathematical programming (90-XX) 137 Mechanics of deformable solids (74-XX) 91 Statistics (62-XX) 71 Systems theory; control (93-XX) 66 Ordinary differential equations (34-XX) 60 Quantum theory (81-XX) 60 Statistical mechanics, structure of matter (82-XX) 54 Biology and other natural sciences (92-XX) 45 Classical thermodynamics, heat transfer (80-XX) 42 Optics, electromagnetic theory (78-XX) 41 Geophysics (86-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 29 Probability theory and stochastic processes (60-XX) 29 Information and communication theory, circuits (94-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Approximations and expansions (41-XX) 22 Integral equations (45-XX) 20 Mechanics of particles and systems (70-XX) 18 Operator theory (47-XX) 15 Combinatorics (05-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Astronomy and astrophysics (85-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Functions of a complex variable (30-XX) 9 Special functions (33-XX) 7 Field theory and polynomials (12-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-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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