HSL swMATH ID: 418 Software Authors: Numerical Analysis Group at the Rutherford Appleton Laboratory; experts, other Description: HSL (formerly the Harwell Subroutine Library) is a collection of state-of-the-art packages for large-scale scientific computation written and developed by the Numerical Analysis Group at the STFC Rutherford Appleton Laboratory and other experts. HSL offers users a high standard of reliability and has an international reputation as a source of robust and efficient numerical software. Among its best known packages are those for the solution of sparse linear systems of equations and sparse eigenvalue problems. MATLAB interfaces are offered for selected packages. The Library was started in 1963 and was originally used at the Harwell Laboratory on IBM mainframes running under OS and MVS. Over the years, the Library has evolved and has been extensively used on a wide range of computers, from supercomputers to modern PCs. Recent additions include optimised support for multicore processors. If you are interested in our optimization or nonlinear equation solving packages, our work in this area is released in the GALAHAD library. Homepage: http://www.hsl.rl.ac.uk/ Keywords: orms Related Software: SparseMatrix; Ipopt; MA57; MUMPS; METIS; LAPACK; CUTEst; Matlab; PARDISO; BLAS; UMFPACK; HSL_MA97; SuperLU; WSMP; CasADi; LSQR; GitHub; HSL_MI28; MA27; SNOPT Cited in: 319 Documents This software is also referenced in ORMS. Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Sparse system solution and the HSL library. Zbl 1171.65392Duff, Iain S. 2007 A numerical evaluation of HSL packages for the direct solution of large sparse, symmetric linear systems of equations. Zbl 1073.65022Gould, Nicholas I. M.; Scott, Jennifer A. 2004 all top 5 Cited by 542 Authors 49 Scott, Jennifer 14 Duff, Iain S. 14 Gould, Nicholas Ian Mark 12 Tůma, Miroslav 10 Hogg, Jonathan D. 10 Hulsen, Martien A. 9 Orban, Dominique 7 Diehl, Moritz Mathias 6 Anderson, Patrick D. 6 Martínez, José Mario 6 Reid, John 6 Toint, Philippe Louis 5 Manguoglu, Murat 5 Roma, Massimo 5 Teixeira de Freitas, João António 4 Birgin, Ernesto G. 4 D’Avino, Gaetano 4 Fasano, Giovanni 4 Nocedal, Jorge 4 Simoncini, Valeria 3 Arioli, Mario 3 Arora, Jasbir S. 3 Bueno, Luís Felipe 3 Cliffe, K. Andrew 3 D’Ambra, Pasqua 3 Davis, Timothy Alden 3 Ferronato, Massimiliano 3 Jimack, Peter K. 3 Maffettone, Pier Luca 3 Rees, Tyrone 3 Tisseur, Françoise 3 Toledo, Sivan 3 van de Vosse, Frans N. 3 Williams, Jack 2 Åkesson, Johan 2 Amestoy, Patrick R. 2 Andreani, Roberto 2 Aykanat, Cevdet 2 Baharev, Ali 2 Bianco, Mauro 2 Bilardi, Gianfranco 2 Bogaerds, Arjen C. B. 2 Bonettini, Silvia 2 Burzyński, Stanisław 2 Caliciotti, Andrea 2 Carpentieri, Bruno 2 Castelletto, Nicola 2 Chroscielewski, Jacek 2 Cullum, Jane K. 2 Daas, Hussam Al 2 D’Amore, Luisa 2 De Schutter, Jochem 2 Dussault, Jean-Pierre 2 El Kacimi, Abdellah 2 Fampa, Marcia Helena C. 2 Filippone, Salvatore 2 François, Stijn 2 Freitas, J. A. T. 2 Frølich, Emil F. 2 Gambolati, Giuseppe 2 Gill, Philip E. 2 González-Hernández, J. L. 2 Grigori, Laura 2 Harzer, Jakob 2 Heil, Matthias 2 Hopkins, Dale A. 2 Jaensson, Nick O. 2 Kalogiratou, Zacharoula 2 Kim, Hyunsun Alicia 2 Kronqvist, Jan 2 Laghrouche, Omar 2 Lebiedz, Dirk 2 Li, Ang 2 Lombaert, Geert 2 Magnusson, Fredrik 2 Melo, Wendel A. X. 2 Murli, Almerico 2 Negrut, Dan 2 Neumaier, Arnold 2 Nurkanović, Armin 2 Ovtchinnikov, Evgueni Eduardovich 2 Pandur, Marija Miloloža 2 Panier, Eliane R. 2 Paszyński, Maciej 2 Patnaik, Surya N. 2 Pereira, E. M. B. R. 2 Pesavento, Francesco 2 Pestana, Jennifer 2 Peters, Gerrit W. M. 2 Pucci, Geppino 2 Raupp, Fernanda M. P. 2 Robinson, Daniel P. 2 Ruggiero, Valeria 2 Sager, Sebastian 2 Sameh, Ahmed H. 2 Schrefler, Bernhard A. 2 Serban, Radu 2 Serra-Capizzano, Stefano 2 Silvester, David J. 2 Thanedar, P. B. ...and 442 more Authors all top 5 Cited in 88 Serials 29 International Journal for Numerical Methods in Engineering 27 ACM Transactions on Mathematical Software 21 SIAM Journal on Scientific Computing 13 Numerical Linear Algebra with Applications 12 Journal of Computational and Applied Mathematics 11 Journal of Computational Physics 10 Computer Methods in Applied Mechanics and Engineering 9 Journal of Optimization Theory and Applications 9 Numerical Algorithms 9 Computational Optimization and Applications 8 Applied Numerical Mathematics 8 Mathematical Programming. Series A. Series B 6 Computers and Fluids 6 Optimization Methods & Software 6 Mathematical Programming Computation 5 SIAM Journal on Matrix Analysis and Applications 4 BIT 4 Journal of Scientific Computing 4 Journal of Global Optimization 4 SIAM Journal on Optimization 4 Communications in Numerical Methods in Engineering 3 Computer Physics Communications 3 Journal of Mathematical Biology 3 Applied Mathematics and Computation 3 Automatica 3 Computing 3 International Journal of Computer Mathematics 3 Journal of Non-Newtonian Fluid Mechanics 3 ETNA. Electronic Transactions on Numerical Analysis 3 European Journal of Control 2 Computers & Mathematics with Applications 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Mathematics of Computation 2 Mathematical Programming 2 Annals of Operations Research 2 European Journal of Operational Research 2 Computational Statistics and Data Analysis 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 S\(\vec{\text{e}}\)MA Journal 1 Astrophysics and Space Science 1 IMA Journal of Numerical Analysis 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 Journal of the Mechanics and Physics of Solids 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 Biometrics 1 IEEE Transactions on Automatic Control 1 Journal of Statistical Planning and Inference 1 Numerische Mathematik 1 Statistica Neerlandica 1 Theoretical Population Biology 1 Optimal Control Applications & Methods 1 Operations Research Letters 1 Physica D 1 Algorithmica 1 Computational Mechanics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Robotic Systems 1 Applied Mathematical Modelling 1 Communications of the ACM 1 Communications in Statistics. Simulation and Computation 1 Physics of Fluids 1 Advances in Computational Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Mathematical Chemistry 1 Mathematics and Mechanics of Solids 1 Computing and Visualization in Science 1 Multibody System Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. A. Solids 1 Computational Geosciences 1 Optimization and Engineering 1 Archives of Computational Methods in Engineering 1 Optimization Letters 1 Nonlinear Analysis. Hybrid Systems 1 Algorithms 1 International Journal for Numerical Methods in Biomedical Engineering 1 GEM - International Journal on Geomathematics 1 MOS-SIAM Series on Optimization 1 EURO Journal on Computational Optimization 1 Journal of Applied Mathematics, Statistics and Informatics 1 Statistics in Medicine 1 SIAM Spotlights 1 Advances in Applied Mathematics (Boca Raton) 1 Nečas Center Series all top 5 Cited in 29 Fields 213 Numerical analysis (65-XX) 87 Operations research, mathematical programming (90-XX) 44 Mechanics of deformable solids (74-XX) 38 Fluid mechanics (76-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 17 Computer science (68-XX) 14 Statistics (62-XX) 14 Biology and other natural sciences (92-XX) 13 Partial differential equations (35-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 9 Combinatorics (05-XX) 8 Ordinary differential equations (34-XX) 8 Systems theory; control (93-XX) 6 Mechanics of particles and systems (70-XX) 6 Geophysics (86-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year