Edit Profile (opens in new tab) Dongarra, Jack J. Co-Author Distance Author ID: dongarra.jack-j Published as: Dongarra, Jack; Dongarra, Jack J.; Dongarra, J. J.; Dongarra, J.; Dongara, Jack J. more...less Homepage: https://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: 148 Publications since 1976, including 11 Books and 8 Additional arXiv Preprints 68 Contributions as Editor Co-Authors: 275 Co-Authors with 208 Joint Publications 4,166 Co-Co-Authors all top 5 Co-Authors 8 single-authored 27 Sloot, Peter M. A. 23 Tomov, Stanimire Z. 20 van Albada, Geert Dick 18 Hammarling, Sven J. 18 Wyrzykowski, Roman 17 Waśniewski, Jerzy 15 Karczewski, Konrad 15 Luszczek, Piotr 15 Sorensen, Danny C. 11 Demmel, James Weldon 10 Haidar, Azzam 10 Kurzak, Jakub 10 Yamazaki, Ichitaro 9 Langou, Julien 9 Walker, David W. 8 Deelman, Ewa 8 Du Croz, Jeremy J. 8 Gates, Mark 7 Alexandrov, Vassil N. 7 Bubak, Marian 7 Sunderam, Vaidy S. 6 Baboulin, Marc 6 Tourancheau, Bernard 5 Abdelfattah, Ahmad 5 Bai, Zhaojun 5 Duff, Iain S. 5 Fagg, Graham E. 5 Petitet, Antoine 5 Tan, Chih Jeng Kenneth 4 Abramson, David 4 Anzt, Hartwig 4 Bogdanov, Alexander V. 4 Casanova, Henri 4 Chen, Zizhong 4 Choi, Jaeyoung 4 Gorbachev, Yuriy E. 4 Higham, Nicholas J. 4 Moler, Cleve B. 4 Robert, Yves 4 Shi, Yong 4 Van der Vorst, Henk Albertus 4 YarKhan, Asim 4 Zomaya, Albert Y. 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 Hoekstra, Alfons G. 3 Lindquist, Neil 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 2 Cleary, Andrew J. 2 D’Azevedo, Eduardo F. 2 Faverge, Mathieu 2 Garbow, Burton S. 2 Geist, Al 2 Geist, George A. 2 Greenbaum, Anne 2 Grigori, Laura 2 Henry, Greg M. 2 Herrmann, Julien 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 Sameh, Ahmed H. 2 Seidel, Edward 2 Seymour, Keith 2 Sidani, Majed 2 Świrydowicz, Kasia 2 Vadhiyar, Sathish S. ...and 175 more Co-Authors all top 5 Serials 59 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 Special Topics in Supercomputing 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 132 Computer science (68-XX) 131 Numerical analysis (65-XX) 59 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 115 Publications have been cited 2,888 times in 2,306 Documents Cited by ▼ Year ▼ LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030 Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 578 1999 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 327 2000 LINPACK, users’ guide. 2nd printing. Zbl 0476.68025 Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W. 168 1980 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030 Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 148 1993 ScaLAPACK users’ guide. Incl. 1 CD-ROM. Zbl 0886.65022 Blackford, 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. 142 1997 Matrix eigensystem routines - EISPACK guide. 2nd ed. Zbl 0325.65016 Smith, B. T.; Boyle, J. M.; Dongarra, J. J.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. 140 1976 LAPACK user’s guide. 2nd ed. Zbl 0843.65018 Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 137 1995 A set of level 3 basic linear algebra subprograms. Zbl 0900.65115 Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain 130 1990 PVM: Parallel virtual machine. A users’ guide and tutorial for networked parallel computing. Zbl 0849.68032 Geist, Al; Beguelin, Adam; Dongarra, Jack; Jiang, Weicheng; Manchek, Robert; Sunderam, Vaidy 97 1994 Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025 Dongarra, J. J.; Straughan, B.; Walker, D. W. 88 1996 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 An extended set of FORTRAN basic linear algebra subprograms. Zbl 0639.65016 Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. 74 1988 Matrix eigensystem routines. EISPACK guide extension. Zbl 0368.65020 Garbow, B. S.; Boyle, J. M.; Dongarra, J. J.; Moler, C. B. 73 1977 Automated empirical optimizations of software and the ATLAS project. Zbl 0971.68033 Clint Whaley, R.; Petitet, A.; Dongarra, J. J. 44 2001 Condition numbers of Gaussian random matrices. Zbl 1107.15016 Chen, Zizhong; Dongarra, Jack J. 41 2005 A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033 Dongarra, Jack J.; Sorensen, Danny C. 29 1987 Accelerating scientific computations with mixed precision algorithms. Zbl 1197.65240 Baboulin, Marc; Buttari, Alfredo; Dongarra, Jack; Kurzak, Jakub; Langou, Julie; Langou, Julien; Luszczek, Piotr; Tomov, Stanimire 29 2009 Implementing linear algebra algorithms for dense matrices on a vector pipeline machine. Zbl 0539.65009 Dongarra, J. J.; Gustavson, F. G.; Karp, A. 27 1984 Towards dense linear algebra for hybrid GPU accelerated manycore systems. Zbl 1204.68268 Tomov, Stanimire; Dongarra, Jack; Baboulin, Marc 25 2010 Improving the accuracy of computed eigenvalues and eigenvectors. Zbl 0523.65021 Dongarra, J. J.; Moler, C. B.; Wilkinsons, J. H. 23 1983 Mixed-precision Cholesky QR factorization and its case studies on multicore CPU with multiple GPUs. Zbl 1320.65046 Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack 20 2015 Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025 Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J. 17 1989 On some parallel banded system solvers. Zbl 0572.65015 Dongarra, Jack J.; Sameh, Ahmed H. 17 1985 ScaLAPACK: A portable linear algebra library for distributed memory computers – design issues and performance. Zbl 0926.65148 Choi, J.; Demmel, J.; Dhillon, I.; Dongarra, J.; Ostrouchov, S.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 16 1996 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 LAPACK95 user’s guide. Zbl 0992.65013 Barker, V. A.; Blackford, L. S.; Dongarra, J.; Du Croz, J.; Hammarling, S.; Marinova, M.; Waśniewski, J.; Yalamov, P. 14 2001 High-performance high-resolution semi-Lagrangian tracer transport on a sphere. Zbl 1229.86011 White, J. B. III; Dongarra, J. J. 13 2011 The PVM concurrent computing system: Evolution, experiences, and trends. Zbl 0825.68199 Sunderam, V. S.; Geist, G. A.; Dongarra, J.; Manchek, R. 13 1994 Accelerating the reduction to upper Hessenberg, tridiagonal, and bidiagonal forms through hybrid GPU-based computing. Zbl 1214.65020 Tomov, Stanimire; Nath, Rajib; Dongarra, Jack 13 2010 Generalized QR factorization and its applications. Zbl 0747.65022 Anderson, E.; Bai, Z.; Dongarra, J. 12 1992 Using mixed precision for sparse matrix computations to enhance the performance while achieving 64-bit accuracy. Zbl 1190.65117 Buttari, Alfredo; Dongarra, Jack; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire 11 2008 State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems. Zbl 1141.82346 Vömel, Christof; Tomov, Stanimire Z.; Marques, Osni A.; Canning, A.; Wang, Lin-Wang; Dongarra, Jack J. 11 2008 A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architectures. Zbl 0939.65058 Tisseur, Françoise; Dongarra, Jack 10 1999 Updating incomplete factorization preconditioners for model order reduction. Zbl 1353.65022 Anzt, Hartwig; Chow, Edmond; Saak, Jens; Dongarra, Jack 9 2016 The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. Zbl 1410.65114 Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro 9 2018 An extended set of basic linear algebra subprograms: Model implementation and test programs. Zbl 0639.65017 Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. 8 1988 A scalable high performant Cholesky factorization for multicore with GPU accelerators. Zbl 1323.65135 Ltaief, Hatem; Tomov, Stanimire; Nath, Rajib; Du, Peng; Dongarra, Jack 8 2011 Software libraries for linear algebra computations on high performance computers. Zbl 0874.65014 Dongara, Jack J.; Walker, David W. 8 1995 The eigenvalue problem for Hermitian matrices with time reversal symmetry. Zbl 0559.65019 Dongarra, J. J.; Gabriel, J. R.; Koelling, D. D.; Wilkinson, J. H. 8 1984 Recovery patterns for iterative methods in a parallel unstable environment. Zbl 1159.65318 Langou, J.; Chen, Z.; Bosilca, G.; Dongarra, J. 8 2007 ParILUT – a new parallel threshold ILU factorization. Zbl 1391.65055 Anzt, Hartwig; Chow, Edmond; Dongarra, Jack 8 2018 Solving banded systems on a parallel processor. Zbl 0652.65018 Dongarra, Jack J.; Johnsson, Lennart 7 1987 Improving the accuracy of computed singular values. Zbl 0534.65012 Dongarra, J. J. 7 1983 Computing the conditioning of the components of a linear least-squares solution. Zbl 1224.65104 Baboulin, Marc; Dongarra, Jack; Gratton, Serge; Langou, Julien 7 2009 The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034 Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H. 7 1997 Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027 Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C. 7 1986 Numerical considerations in computing invariant subspaces. Zbl 0754.65038 Dongarra, Jack J.; Hammarling, Sven; Wilkinson, James H. 7 1992 Linear algebra software for large-scale accelerated multicore computing. Zbl 1353.65019 Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A. 7 2016 Accelerating numerical dense linear algebra calculations with GPUs. Zbl 1317.65078 Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro 7 2014 Squeezing the most out of eigenvalue solvers on high-performance computers. Zbl 0587.65027 Dongarra, Jack J.; Kaufman, Linda; Hammarling, Sven 6 1986 Unrolling loops in FORTRAN. Zbl 0393.68011 Dongarra, J. J.; Hinds, A. R. 6 1979 A parallel implementation of the nonsymmetric QR algorithm for distributed memory architectures. Zbl 1013.65032 Henry, Greg; Watkins, David; Dongarra, Jack 6 2002 Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems. Zbl 1472.65174 Haidar, Azzam; Bayraktar, Harun; Tomov, Stanimire; Dongarra, Jack; Higham, Nicholas J. 6 2020 Linear algebra on high performance computers. Zbl 0628.65016 Dongarra, Jack J.; Sorensen, Danny C. 5 1986 Corrigenda: “An extended set of FORTRAN basic linear algebra subprograms”. Zbl 0668.65024 Dongarra, Jack J.; DuCroz, Jeremy; Hammarling, Sven; Hanson, Richard J. 5 1988 High-performance computing systems: status and outlook. Zbl 1253.68024 Dongarra, J. J.; van Der Steen, A. J. 5 2012 Accelerating GPU kernels for dense linear algebra. Zbl 1323.65140 Nath, Rajib; Tomov, Stanimire; Dongarra, Jack 5 2011 Numerical linear algebra algorithms and software. Zbl 0965.65049 Dongarra, Jack J.; Eijkhout, Victor 5 2000 Reduction to condensed form for the eigenvalue problem on distributed memory architectures. Zbl 0758.65040 Dongarra, Jack J.; van de Geijn, Robert A. 5 1992 Solving computational grand challenges using a network of heterogeneous supercomputers. Zbl 0800.68178 Beguelin, Adam; Dongarra, Jack; Geist, Al; Manchek, Robert; Sunderam, Vaidy 5 1992 A parallel algorithm for the nonsymmetric eigenvalue problem. Zbl 0774.65015 Dongarra, Jack J.; Sidani, Majed 4 1993 The design of a parallel dense linear algebra software library: Reduction to Hessenberg, tridiagonal, and bidiagonal form. Zbl 0839.65050 Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. 4 1995 Telescoping languages: A strategy for automatic generation of scientific problem-solving systems from annotated libraries. Zbl 1006.68025 Kennedy, 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 0866.65027 Barrett, Richard; Berry, Michael; Dongarra, Jack; Eijkhout, Victor; Romine, Charles 4 1996 A parallel algorithm for the reduction of a nonsymmetric matrix to block upper-Hessenberg form. Zbl 0873.65032 Berry, Michael W.; Dongarra, Jack J.; Kim, Youngbae 4 1995 Parallel matrix transpose algorithms on distributed memory concurrent computers. Zbl 0874.68129 Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. 4 1995 Accelerating linear system solutions using randomization techniques. Zbl 1295.65134 Baboulin, Marc; Dongarra, Jack; Herrmann, Julien; Tomov, Stanimire 4 2013 High-performance bidiagonal reduction using tile algorithms on homogeneous multicore architectures. Zbl 1295.65145 Ltaief, Hatem; Luszczek, Piotr; Dongarra, Jack 4 2013 Experiments with scheduling using simulated annealing in a grid environment. Zbl 1024.68889 YarKhan, Asim; Dongarra, Jack J. 4 2002 Overview of GridRPC: A remote procedure call API for grid computing. Zbl 1024.68846 Seymour, Keith; Nakada, Hidemoto; Matsuoka, Satoshi; Dongarra, Jack; Lee, Craig; Casanova, Henri 4 2002 Numerical algorithms for high-performance computational science. Zbl 1462.65231 Dongarra, Jack; Grigori, Laura; Higham, Nicholas J. 4 2020 Mixed-precision orthogonalization scheme and adaptive step size for improving the stability and performance of CA-GMRES on GPUs. Zbl 07631077 Yamazaki, Ichitaro; Tomov, Stanimire; Dong, Tingxing; Dongarra, Jack 4 2015 The use of bulk states to accelerate the band edge state calculation of a semiconductor quantum dot. Zbl 1119.82040 Vömel, Christof; Tomov, Stanimire Z.; Wang, Lin-Wang; Marques, Osni A.; Dongarra, Jack J. 3 2007 A collection of parallel linear equations routines for the Denelcor HEP. Zbl 0547.65024 Dongarra, Jack J.; Hiromoto, Robert E. 3 1984 The design and implementation of the parallel out-of-core scaLAPACK LU, QR, and Cholesky factorization routines. Zbl 1008.68577 D’Azevedo, Eduardo; Dongarra, Jack 3 2001 Towards an accurate model for collective communications. Zbl 0987.68982 Vadhiyar, Sathish S.; Fagg, Graham E.; Dongarra, Jack J. 3 2001 Implementing dense linear algebra algorithms using multitasking on the CRAY X-MP-4 (or approaching the GIGAFLOP). Zbl 0591.65026 Dongarra, Jack J.; Hewitt, Tom 3 1986 PLASMA: Parallel linear algebra software for multicore using OpenMP. Zbl 1471.65029 Dongarra, 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 Toward a high performance tile divide and conquer algorithm for the dense symmetric eigenvalue problem. Zbl 1261.65038 Haidar, Azzam; Ltaief, Hatem; Dongarra, Jack 3 2012 Stability and performance of various singular value QR implementations on multicore CPU with a GPU. Zbl 1391.65093 Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack 3 2016 SICEDR: A FORTRAN subroutine for improving the accuracy of computed matrix eigenvalues. Zbl 0523.65022 Dongarra, Jack J. 2 1982 Solving the secular equation including spin orbit coupling for systems with inversion and time reversal symmetry. Zbl 0541.65088 Dongarra, J. J.; Gabriel, J. R.; Koelling, D. D.; Wilkinson, J. H. 2 1984 Key concepts for parallel out-of-core LU factorization. Zbl 0906.68036 Dongarra, Jack J.; Hammarling, Sven; Walker, David W. 2 1997 Key concepts for parallel out-of-core LU factorization. Zbl 1010.68539 Dongarra, 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 Algorithm 710: FORTRAN subroutines for computing the eigenvalues and eigenvectors of a general matrix by reduction to general tridiagonal form. Zbl 0892.65024 Dongarra, J. J.; Geist, G. A.; Romine, C. H. 2 1992 High-performance matrix-matrix multiplications of very small matrices. Zbl 1439.65061 Masliah, Ian; Abdelfattah, Ahmad; Haidar, A.; Tomov, S.; Baboulin, Marc; Falcou, J.; Dongarra, J. 2 2016 Communication-avoiding symmetric-indefinite factorization. Zbl 1317.65074 Ballard, Grey; Becker, Dulceneia; Demmel, James; Dongarra, Jack; Druinsky, Alex; Peled, Inon; Schwartz, Oded; Toledo, Sivan; Yamazaki, Ichitaro 2 2014 A set of batched basic linear algebra subprograms and LAPACK routines. Zbl 07467952 Abdelfattah, Ahmad; Costa, Timothy; Dongarra, Jack; Gates, Mark; Haidar, Azzam; Hammarling, Sven; Higham, Nicholas J.; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Zounon, Mawussi 2 2021 Programming methodology and performance issues for advanced computer architectures. Zbl 0656.68035 Dongarra, Jack J.; Sorensen, Danny C.; Connolly, Kathryn; Patterson, Jim 1 1988 Computational science – ICCS 2007. 7th international conference, Beijing, China, May 27–30, 2007. Proceedings, Part III. Zbl 1137.68309 1 2007 Increasing the performance of mathematical software through high-level modularity. Zbl 0554.65019 Dongarra, Jack J. 1 1984 Towards an efficient tile matrix inversion of symmetric positive definite matrices on multicore architectures. Zbl 1323.65022 Agullo, Emmanuel; Bouwmeester, Henricus; Dongarra, Jack; Kurzak, Jakub; Langou, Julien; Rosenberg, Lee 1 2011 Recent advances in parallel virtual machine and message passing interface. 5th European PVM/MPI users’ group meeting. Liverpool, GB, September 7–9, 1998. Proceedings. Zbl 0896.00031 1 1998 Performance of LAPACK. Zbl 0832.65023 Dongarra, Jack 1 1994 High performance computing for computational science – VECPAR 2004. 6th international conference, Valencia, Spain, June 28–30, 2004. Revised selected and invited papers. Zbl 1068.68004 1 2005 Practical experience in the numerical dangers of heterogeneous computing. Zbl 0883.68006 Blackford, L. S.; Cleary, A.; Petitet, A.; Demmel, J.; Dhillon, I.; Ren, H.; Stanley, K.; Dongarra, J.; Hammarling, S. 1 1997 Computational Science - ICCS 2001. International conference, San Francisco, CA, USA, May 28–30, 2001. Proceedings. Part 2. Zbl 0968.68554 1 2001 High-performance computing trends. Zbl 0947.68510 Dongarra, Jack J.; Meuer, Hans W.; Simon, Horst D.; Strohmaier, Erich 1 1998 A set of batched basic linear algebra subprograms and LAPACK routines. Zbl 07467952 Abdelfattah, Ahmad; Costa, Timothy; Dongarra, Jack; Gates, Mark; Haidar, Azzam; Hammarling, Sven; Higham, Nicholas J.; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Zounon, Mawussi 2 2021 Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems. Zbl 1472.65174 Haidar, Azzam; Bayraktar, Harun; Tomov, Stanimire; Dongarra, Jack; Higham, Nicholas J. 6 2020 Numerical algorithms for high-performance computational science. Zbl 1462.65231 Dongarra, Jack; Grigori, Laura; Higham, Nicholas J. 4 2020 Parallel processing and applied mathematics. 13th international conference, PPAM 2019, Bialystok, Poland, September 8–11, 2019, Revised selected papers. Part I. Zbl 1496.68037 1 2020 PLASMA: Parallel linear algebra software for multicore using OpenMP. Zbl 1471.65029 Dongarra, 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 1410.65114 Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro 9 2018 ParILUT – a new parallel threshold ILU factorization. Zbl 1391.65055 Anzt, Hartwig; Chow, Edmond; Dongarra, Jack 8 2018 Updating incomplete factorization preconditioners for model order reduction. Zbl 1353.65022 Anzt, Hartwig; Chow, Edmond; Saak, Jens; Dongarra, Jack 9 2016 Linear algebra software for large-scale accelerated multicore computing. Zbl 1353.65019 Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A. 7 2016 Stability and performance of various singular value QR implementations on multicore CPU with a GPU. Zbl 1391.65093 Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack 3 2016 High-performance matrix-matrix multiplications of very small matrices. Zbl 1439.65061 Masliah, Ian; Abdelfattah, Ahmad; Haidar, A.; Tomov, S.; Baboulin, Marc; Falcou, J.; Dongarra, J. 2 2016 Mixed-precision Cholesky QR factorization and its case studies on multicore CPU with multiple GPUs. Zbl 1320.65046 Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack 20 2015 Mixed-precision orthogonalization scheme and adaptive step size for improving the stability and performance of CA-GMRES on GPUs. Zbl 07631077 Yamazaki, Ichitaro; Tomov, Stanimire; Dong, Tingxing; Dongarra, Jack 4 2015 Computing least squares condition numbers on hybrid multicore/GPU systems. Zbl 1331.65066 Baboulin, M.; Dongarra, J.; Lacroix, R. 1 2015 Accelerating computation of eigenvectors in the dense nonsymmetric eigenvalue problem. Zbl 1514.65042 Gates, Mark; Haidar, Azzam; Dongarra, Jack 1 2015 Accelerating numerical dense linear algebra calculations with GPUs. Zbl 1317.65078 Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro 7 2014 Communication-avoiding symmetric-indefinite factorization. Zbl 1317.65074 Ballard, Grey; Becker, Dulceneia; Demmel, James; Dongarra, Jack; Druinsky, Alex; Peled, Inon; Schwartz, Oded; Toledo, Sivan; Yamazaki, Ichitaro 2 2014 Accelerating linear system solutions using randomization techniques. Zbl 1295.65134 Baboulin, Marc; Dongarra, Jack; Herrmann, Julien; Tomov, Stanimire 4 2013 High-performance bidiagonal reduction using tile algorithms on homogeneous multicore architectures. Zbl 1295.65145 Ltaief, Hatem; Luszczek, Piotr; Dongarra, Jack 4 2013 High-performance computing systems: status and outlook. Zbl 1253.68024 Dongarra, J. J.; van Der Steen, A. J. 5 2012 Toward a high performance tile divide and conquer algorithm for the dense symmetric eigenvalue problem. Zbl 1261.65038 Haidar, Azzam; Ltaief, Hatem; Dongarra, Jack 3 2012 High-performance high-resolution semi-Lagrangian tracer transport on a sphere. Zbl 1229.86011 White, J. B. III; Dongarra, J. J. 13 2011 A scalable high performant Cholesky factorization for multicore with GPU accelerators. Zbl 1323.65135 Ltaief, Hatem; Tomov, Stanimire; Nath, Rajib; Du, Peng; Dongarra, Jack 8 2011 Accelerating GPU kernels for dense linear algebra. Zbl 1323.65140 Nath, Rajib; Tomov, Stanimire; Dongarra, Jack 5 2011 Towards an efficient tile matrix inversion of symmetric positive definite matrices on multicore architectures. Zbl 1323.65022 Agullo, Emmanuel; Bouwmeester, Henricus; Dongarra, Jack; Kurzak, Jakub; Langou, Julien; Rosenberg, Lee 1 2011 Towards dense linear algebra for hybrid GPU accelerated manycore systems. Zbl 1204.68268 Tomov, Stanimire; Dongarra, Jack; Baboulin, Marc 25 2010 Accelerating the reduction to upper Hessenberg, tridiagonal, and bidiagonal forms through hybrid GPU-based computing. Zbl 1214.65020 Tomov, Stanimire; Nath, Rajib; Dongarra, Jack 13 2010 Rectangular full packed format for Cholesky’s algorithm: factorization, solution, and inversion. Zbl 1364.65069 Gustavson, Fred G.; Waśniewski, Jerzy; Dongarra, Jack J.; Langou, Julien 1 2010 Accelerating scientific computations with mixed precision algorithms. Zbl 1197.65240 Baboulin, Marc; Buttari, Alfredo; Dongarra, Jack; Kurzak, Jakub; Langou, Julie; Langou, Julien; Luszczek, Piotr; Tomov, Stanimire 29 2009 Computing the conditioning of the components of a linear least-squares solution. Zbl 1224.65104 Baboulin, Marc; Dongarra, Jack; Gratton, Serge; Langou, Julien 7 2009 Using mixed precision for sparse matrix computations to enhance the performance while achieving 64-bit accuracy. Zbl 1190.65117 Buttari, Alfredo; Dongarra, Jack; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire 11 2008 State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems. Zbl 1141.82346 Vömel, Christof; Tomov, Stanimire Z.; Marques, Osni A.; Canning, A.; Wang, Lin-Wang; Dongarra, Jack J. 11 2008 Recovery patterns for iterative methods in a parallel unstable environment. Zbl 1159.65318 Langou, 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 1119.82040 Vömel, 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 1142.65332 Shahzadeh-Fazeli, S.-A.; Emad, Nahid; Dongarra, Jack 1 2006 Condition numbers of Gaussian random matrices. Zbl 1107.15016 Chen, Zizhong; Dongarra, Jack J. 41 2005 High performance computing for computational science – VECPAR 2004. 6th international conference, Valencia, Spain, June 28–30, 2004. Revised selected and invited papers. Zbl 1068.68004 1 2005 Numerically stable real number codes based on random matrices. Zbl 1129.65314 Chen, Zizhong; Dongarra, Jack 1 2005 Comparison of nonlinear conjugate-gradient methods for computing the electronic properties of nanostructure architectures. Zbl 1120.78309 Tomov, 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 1013.65032 Henry, Greg; Watkins, David; Dongarra, Jack 6 2002 Experiments with scheduling using simulated annealing in a grid environment. Zbl 1024.68889 YarKhan, Asim; Dongarra, Jack J. 4 2002 Overview of GridRPC: A remote procedure call API for grid computing. Zbl 1024.68846 Seymour, Keith; Nakada, Hidemoto; Matsuoka, Satoshi; Dongarra, Jack; Lee, Craig; Casanova, Henri 4 2002 Middleware for the use of storage in communication. Zbl 1043.68019 Beck, 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 0971.68033 Clint Whaley, R.; Petitet, A.; Dongarra, J. J. 44 2001 LAPACK95 user’s guide. Zbl 0992.65013 Barker, V. A.; Blackford, L. S.; Dongarra, J.; Du Croz, J.; Hammarling, S.; Marinova, M.; Waśniewski, J.; Yalamov, P. 14 2001 Telescoping languages: A strategy for automatic generation of scientific problem-solving systems from annotated libraries. Zbl 1006.68025 Kennedy, 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 1008.68577 D’Azevedo, Eduardo; Dongarra, Jack 3 2001 Towards an accurate model for collective communications. Zbl 0987.68982 Vadhiyar, 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 HARNESS and fault tolerant MPI. Zbl 0982.68066 Fagg, G. E.; Bukovsky, A.; Dongarra, J. J. 1 2001 Review of performance analysis tools for MPI parallel programs. Zbl 1005.68971 Moore, Shirley; Cronk, David; London, Kevin; Dongarra, Jack 1 2001 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 327 2000 Numerical linear algebra algorithms and software. Zbl 0965.65049 Dongarra, Jack J.; Eijkhout, Victor 5 2000 LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030 Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 578 1999 A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architectures. Zbl 0939.65058 Tisseur, Françoise; Dongarra, Jack 10 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 Key concepts for parallel out-of-core LU factorization. Zbl 1010.68539 Dongarra, J. J.; Hammarling, S.; Walker, D. W. 2 1998 Recent advances in parallel virtual machine and message passing interface. 5th European PVM/MPI users’ group meeting. Liverpool, GB, September 7–9, 1998. Proceedings. Zbl 0896.00031 1 1998 High-performance computing trends. Zbl 0947.68510 Dongarra, Jack J.; Meuer, Hans W.; Simon, Horst D.; Strohmaier, Erich 1 1998 Using agent-based software for scientific computing in the NetSolve system. Zbl 0909.68012 Casanova, Henri; Dongarra, Jack 1 1998 ScaLAPACK users’ guide. Incl. 1 CD-ROM. Zbl 0886.65022 Blackford, 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. 142 1997 The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034 Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H. 7 1997 Key concepts for parallel out-of-core LU factorization. Zbl 0906.68036 Dongarra, Jack J.; Hammarling, Sven; Walker, David W. 2 1997 Practical experience in the numerical dangers of heterogeneous computing. Zbl 0883.68006 Blackford, 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 0867.76025 Dongarra, J. J.; Straughan, B.; Walker, D. W. 88 1996 ScaLAPACK: A portable linear algebra library for distributed memory computers – design issues and performance. Zbl 0926.65148 Choi, J.; Demmel, J.; Dhillon, I.; Dongarra, J.; Ostrouchov, S.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 16 1996 Algorithmic bombardment for the iterative solution of linear systems: A poly-iterative approach. Zbl 0866.65027 Barrett, 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 0843.65018 Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 137 1995 Software libraries for linear algebra computations on high performance computers. Zbl 0874.65014 Dongara, Jack J.; Walker, David W. 8 1995 The design of a parallel dense linear algebra software library: Reduction to Hessenberg, tridiagonal, and bidiagonal form. Zbl 0839.65050 Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. 4 1995 A parallel algorithm for the reduction of a nonsymmetric matrix to block upper-Hessenberg form. Zbl 0873.65032 Berry, Michael W.; Dongarra, Jack J.; Kim, Youngbae 4 1995 Parallel matrix transpose algorithms on distributed memory concurrent computers. Zbl 0874.68129 Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. 4 1995 Software distribution using Xnetlib. Zbl 0884.68015 Dongarra, J.; Rowan, T.; Wade, R. 1 1995 PVM: Parallel virtual machine. A users’ guide and tutorial for networked parallel computing. Zbl 0849.68032 Geist, Al; Beguelin, Adam; Dongarra, Jack; Jiang, Weicheng; Manchek, Robert; Sunderam, Vaidy 97 1994 The PVM concurrent computing system: Evolution, experiences, and trends. Zbl 0825.68199 Sunderam, V. S.; Geist, G. A.; Dongarra, J.; Manchek, R. 13 1994 Performance of LAPACK. Zbl 0832.65023 Dongarra, Jack 1 1994 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030 Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 148 1993 A parallel algorithm for the nonsymmetric eigenvalue problem. Zbl 0774.65015 Dongarra, Jack J.; Sidani, Majed 4 1993 Computer benchmarks. Zbl 0799.68009 1 1993 Generalized QR factorization and its applications. Zbl 0747.65022 Anderson, E.; Bai, Z.; Dongarra, J. 12 1992 Numerical considerations in computing invariant subspaces. Zbl 0754.65038 Dongarra, Jack J.; Hammarling, Sven; Wilkinson, James H. 7 1992 Reduction to condensed form for the eigenvalue problem on distributed memory architectures. Zbl 0758.65040 Dongarra, Jack J.; van de Geijn, Robert A. 5 1992 Solving computational grand challenges using a network of heterogeneous supercomputers. Zbl 0800.68178 Beguelin, 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 0892.65024 Dongarra, J. J.; Geist, G. A.; Romine, C. H. 2 1992 LAPACK for distributed memory architectures: Progress report. Zbl 0800.68153 Anderson, 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 0797.65036 Dongarra, J. J.; Sidani, M. 1 1992 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 Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025 Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J. 17 1989 An extended set of FORTRAN basic linear algebra subprograms. Zbl 0639.65016 Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. 74 1988 An extended set of basic linear algebra subprograms: Model implementation and test programs. Zbl 0639.65017 Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. 8 1988 Corrigenda: “An extended set of FORTRAN basic linear algebra subprograms”. Zbl 0668.65024 Dongarra, Jack J.; DuCroz, Jeremy; Hammarling, Sven; Hanson, Richard J. 5 1988 Programming methodology and performance issues for advanced computer architectures. Zbl 0656.68035 Dongarra, Jack J.; Sorensen, Danny C.; Connolly, Kathryn; Patterson, Jim 1 1988 A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033 Dongarra, Jack J.; Sorensen, Danny C. 29 1987 Solving banded systems on a parallel processor. Zbl 0652.65018 Dongarra, Jack J.; Johnsson, Lennart 7 1987 Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027 Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C. 7 1986 Squeezing the most out of eigenvalue solvers on high-performance computers. Zbl 0587.65027 Dongarra, Jack J.; Kaufman, Linda; Hammarling, Sven 6 1986 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,142 Authors 31 Dongarra, Jack J. 25 Benner, Peter 23 Quintana-Ortí, Enrique S. 19 Higham, Nicholas J. 18 Straughan, Brian 18 Zlatev, Zahari 17 Pan, Victor Yakovlevich 16 Nakatsukasa, Yuji 16 Wei, Yimin 15 Hill, Antony A. 13 Kressner, Daniel 13 Li, Rencang 12 Lin, Wen-Wei 12 Mehrmann, Volker 11 Aishima, Kensuke 11 Bai, Zhaojun 11 Jia, Zhongxiao 11 Román, Jose E. 11 Saad, Yousef 11 Wang, Weichung 10 Garcia, Roberto D. M. 10 Petkov, Petko Hr. 10 Quintana-Ortí, Gregorio 10 Reichel, Lothar 10 Tomov, Stanimire Z. 9 Demmel, James Weldon 9 Golub, Gene Howard 9 Grigori, Laura 9 Konstantinov, Mikhail Mikhajlov 9 Pini, Giorgio 9 Van Dooren, Paul M. 9 Wittum, Gabriel 9 Wu, Gang 9 Yang, Chao 9 Zhang, Lei-Hong 8 Kågström, Bo 8 Keyes, David Elliot 8 Nechepurenko, Yuri M. 8 Ogita, Takeshi 8 Paprzycki, Marcin 8 Simoncini, Valeria 8 Yamamoto, Yusaku 7 Agullo, Emmanuel 7 Arias, Enrique 7 Baglama, James 7 Bientinesi, Paolo 7 Calvetti, Daniela 7 Christov, Nicolai D. 7 Giraud, Luc 7 Hernández, Vicente G. 7 Li, Tien-Yien 7 Lin, Lin 7 Logashenko, Dmitry 7 Lu, Linzhang 7 Mary, Theo A. 7 Neymeyr, Klaus 7 Sameh, Ahmed H. 7 Scott, Jennifer A. 7 Shao, Meiyue 7 Yamazaki, Ichitaro 6 Aliaga, José Ignacio 6 Arndt, Daniel 6 Baboulin, Marc 6 Bangerth, Wolfgang 6 Byers, Ralph 6 D’Azevedo, Eduardo F. 6 Drmač, Zlatko 6 Faragó, István 6 Haidar, Azzam 6 Heister, Timo 6 Heltai, Luca 6 Ibáñez González, Jacinto Javier 6 Kronbichler, Martin 6 Laub, Alan J. 6 Li, Xiaoye Sherry 6 Ltaief, Hatem 6 Maier, Matthias Sebastian 6 Pelteret, Jean-Paul 6 Siewert, Charles E. 6 Sogabe, Tomohiro 6 Stathopoulos, Andreas 6 Turcksin, Bruno 6 van de Geijn, Robert Alexander 6 Van Huffel, Sabine 5 Amestoy, Patrick R. 5 Anzt, Hartwig 5 Bergamaschi, Luca 5 Blum, Volker 5 Capone, Florinda 5 Carson, Erin Claire 5 Chang, Min-Hsing 5 Demyanko, Kirill V. 5 Gambolati, Giuseppe 5 Gentile, Maurizio 5 Gratton, Serge 5 Gravvanis, George A. 5 Havasi, Ágnes 5 Hoffmann, Walter 5 Hoshi, Takeo 5 Huang, Tsungming ...and 4,042 more Authors all top 5 Cited in 327 Serials 158 Journal of Computational Physics 141 Journal of Computational and Applied Mathematics 116 Linear Algebra and its Applications 107 SIAM Journal on Scientific Computing 96 Computer Physics Communications 65 Computer Methods in Applied Mechanics and Engineering 61 Computers & Mathematics with Applications 56 Numerical Linear Algebra with Applications 48 SIAM Journal on Matrix Analysis and Applications 47 Numerical Algorithms 46 Applied Mathematics and Computation 43 Applied Numerical Mathematics 42 International Journal for Numerical Methods in Engineering 38 BIT 36 Journal of Scientific Computing 32 Journal of Fluid Mechanics 30 Numerische Mathematik 29 Computers and Fluids 25 Mathematics of Computation 22 ACM Transactions on Mathematical Software 20 Computing 20 Engineering Analysis with Boundary Elements 18 Optimization Methods & Software 17 Computational Statistics and Data Analysis 16 International Journal of Computer Mathematics 15 Theoretical Computer Science 15 Japan Journal of Industrial and Applied Mathematics 14 International Journal of Control 14 Automatica 14 Mathematics and Computers in Simulation 13 Acta Mechanica 13 International Journal for Numerical Methods in Fluids 13 Computational Mechanics 13 Mathematical Programming. 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Zeitschrift für Angewandte Mathematik und Mechanik ...and 227 more Serials all top 5 Cited in 51 Fields 1,550 Numerical analysis (65-XX) 353 Fluid mechanics (76-XX) 321 Linear and multilinear algebra; matrix theory (15-XX) 273 Computer science (68-XX) 194 Partial differential equations (35-XX) 156 Operations research, mathematical programming (90-XX) 143 Mechanics of deformable solids (74-XX) 112 Statistics (62-XX) 86 Statistical mechanics, structure of matter (82-XX) 84 Quantum theory (81-XX) 80 Systems theory; control (93-XX) 70 Ordinary differential equations (34-XX) 57 Biology and other natural sciences (92-XX) 53 Optics, electromagnetic theory (78-XX) 50 Classical thermodynamics, heat transfer (80-XX) 43 Geophysics (86-XX) 35 Information and communication theory, circuits (94-XX) 34 Probability theory and stochastic processes (60-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 30 Dynamical systems and ergodic theory (37-XX) 26 Operator theory (47-XX) 26 Mechanics of particles and systems (70-XX) 25 Approximations and expansions (41-XX) 25 Integral equations (45-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Combinatorics (05-XX) 13 Special functions (33-XX) 12 Functions of a complex variable (30-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Astronomy and astrophysics (85-XX) 9 Algebraic geometry (14-XX) 7 Field theory and polynomials (12-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Commutative algebra (13-XX) 4 Potential theory (31-XX) 4 Integral transforms, operational calculus (44-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic topology (55-XX) 2 Mathematics education (97-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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