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LINPACK

swMATH ID: 4209
Software Authors: Department of Mathematics - University of Utah; J. Dongarra, J. Bunch, C. Moler, G. W. Stewart
Description: LINPACK is a collection of Fortran subroutines that analyze and solve linear equations and linear least-squares problems. The package solves linear systems whose matrices are general, banded, symmetric indefinite, symmetric positive definite, triangular, and tridiagonal square. In addition, the package computes the QR and singular value decompositions of rectangular matrices and applies them to least-squares problems. LINPACK uses column-oriented algorithms to increase efficiency by preserving locality of reference.
LINPACK was designed for supercomputers in use in the 1970s and early 1980s. LINPACK has been largely superceded by LAPACK, which has been designed to run efficiently on shared-memory, vector supercomputers.
Homepage: http://www.math.utah.edu/software/linpack.html
Related Software: LAPACK; EISPACK; BLAS; Matlab; ScaLAPACK; mctoolbox; NAG; IMSL Numerical Libraries; symrcm; R; Algorithm 679; MPI; ELLPACK; LSQR; ATLAS; YSMP; SparseMatrix; PLASMA; HSL; ARPACK
Referenced in: 498 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
LINPACK, users’ guide. 2nd printing. Zbl 0476.68025
Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W.
1980
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Referenced by 784 Authors

22 Dongarra, Jack J.
11 Garcia, Roberto D. M.
9 Demmel, James Weldon
8 Higham, Nicholas J.
7 Siewert, Charles E.
7 Van Huffel, Sabine
7 Zlatev, Zahari
6 Bai, Zhaojun
6 Freeden, Willi
6 Gustavson, Fred G.
6 Konstantinov, Mikhail Mikhajlov
6 Sorensen, Danny C.
5 Bischof, Christian H.
5 Björck, Åke
5 Bunch, James R.
5 Hammarling, Sven J.
5 Hansen, Per Christian
5 Laratta, A.
5 Park, Haesun
5 Petkov, Petko Hr.
5 Stewart, Gilbert Wright
5 Van Loan, Charles Francis
5 Waśniewski, Jerzy
4 Christov, Nicolai D.
4 Eldén, Lars
4 Gautschi, Walter
4 Golub, Gene Howard
4 Plemmons, Robert James
4 Tomov, Stanimire Z.
3 Arioli, Mario
3 Bates, Douglas M.
3 Berry, Michael W.
3 Boisvert, Ronald F.
3 Bojanczyk, Adam W.
3 Byers, Ralph
3 Coleman, Thomas F.
3 Gates, Mark
3 Greenbaum, Anne
3 Hager, William W.
3 Haidar, Azzam
3 Hoffmann, Walter
3 Kahan, William Morton
3 Kerner, Wolfgang
3 Kollmann, Wolfgang
3 Kurzak, Jakub
3 Luszczek, Piotr
3 Quintana-Ortí, Gregorio
3 van de Geijn, Robert Alexander
3 Vandewalle, Joos P.
3 Watkins, David S.
3 Watson, Layne Terry
2 Abdelfattah, Ahmad
2 Ahmad, Shahid
2 Allen, Richard C. jun.
2 Aplevich, J. D.
2 Bailey, David Harold
2 Banerjee, Prasanta K.
2 Beattie, Christopher A.
2 Boland, W. Robert
2 Bosner, Nela
2 Brannigan, Michael
2 Calvetti, Daniela
2 Camba-Mendez, Gonzalo
2 Caron, Richard J.
2 Chan, Tony Fan-Cheong
2 Chao, Han Zheng
2 Chen, Jeng-Tzong
2 Chronopoulos, Anthony Theodore
2 Chung, Kuo-Liang
2 Cullum, Jane K.
2 de Boor, Carl
2 de Hoog, Frank Robert
2 Dennis, John E. jun.
2 Dix, Julio G.
2 Du Croz, Jeremy J.
2 Duff, Iain S.
2 Eckhoff, Knut S.
2 Foley, Thomas A.
2 Foster, Leslie V.
2 Fox, David W.
2 Galligani, Emanuele
2 Gander, Walter
2 Grimes, Roger G.
2 Gunnels, John A.
2 Hake, Juergen-Fr.
2 Handschuh, Robert F.
2 Hassard, Brian D.
2 Heideman, J. C.
2 Henry, Greg M.
2 Homberg, W.
2 Hopkins, Tim R.
2 Kahaner, David K.
2 Kapetanios, George
2 Kublanovskaya, Vera Nikolaevna
2 Laub, Alan J.
2 Lee, Jia-Wei
2 Lehoucq, Richard B.
2 Leu, Shyue-Yuh
2 Li, Congming
2 Litvin, Faydor L.
...and 684 more Authors
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Referenced in 147 Serials

32 Linear Algebra and its Applications
28 Journal of Computational and Applied Mathematics
25 ACM Transactions on Mathematical Software
18 Journal of Computational Physics
13 International Journal for Numerical Methods in Engineering
13 Numerische Mathematik
11 Computer Methods in Applied Mechanics and Engineering
10 BIT
10 Computational Statistics and Data Analysis
9 Computers & Mathematics with Applications
9 Mathematics of Computation
9 Automatica
9 Applied Numerical Mathematics
8 Applied Mathematics and Computation
7 Computer Physics Communications
7 Journal of Optimization Theory and Applications
7 SIAM Journal on Matrix Analysis and Applications
7 Mathematical Programming. Series A. Series B
7 Numerical Linear Algebra with Applications
6 International Journal of Control
6 Computing
6 Mathematical and Computer Modelling
5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
5 SIAM Journal on Scientific and Statistical Computing
5 Parallel Computing
5 Numerical Algorithms
5 SIAM Review
4 International Journal for Numerical Methods in Fluids
4 Transport Theory and Statistical Physics
4 Cybernetics and Systems Analysis
4 SIAM Journal on Scientific Computing
4 Classics in Applied Mathematics
3 Computers and Fluids
3 Journal of the Franklin Institute
3 Mathematics and Computers in Simulation
3 Systems & Control Letters
3 Applied Mathematical Modelling
3 Communications in Statistics. Simulation and Computation
3 European Journal of Mechanics. B. Fluids
3 Journal of Computational and Theoretical Transport
2 IMA Journal of Numerical Analysis
2 Journal of Mathematical Analysis and Applications
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Approximation Theory
2 Journal of Econometrics
2 Kybernetika
2 SIAM Journal on Numerical Analysis
2 Software. Practice & Experience
2 Theoretical Computer Science
2 Statistics & Probability Letters
2 Circuits, Systems, and Signal Processing
2 Computer Aided Geometric Design
2 Physica D
2 Statistical Science
2 Computers & Operations Research
2 Numerical Methods for Partial Differential Equations
2 Journal of Robotic Systems
2 Journal of Scientific Computing
2 Neural Networks
2 European Journal of Operational Research
2 International Journal of Computer Mathematics
2 Journal of Mathematical Sciences (New York)
2 Acta Numerica
2 Software - Environments - Tools
2 Statistics and Computing
2 Journal of Theoretical Biology
1 Acta Mechanica
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
1 International Journal of Engineering Science
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 International Journal of Solids and Structures
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Psychometrika
1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Calcolo
1 Fuzzy Sets and Systems
1 Journal of the American Statistical Association
1 Journal of Computer and System Sciences
1 Manuscripta Mathematica
1 Mathematical Programming Study
1 Mathematische Zeitschrift
1 Meccanica
1 SIAM Journal on Algebraic and Discrete Methods
1 Journal of Time Series Analysis
1 American Journal of Mathematical and Management Sciences
1 Journal of Nanjing University. Mathematical Biquarterly
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Journal of Computer Science and Technology
1 Econometric Reviews
1 Journal of Automated Reasoning
1 Computational Mechanics
1 Stochastic Hydrology and Hydraulics
1 Journal of Parallel and Distributed Computing
1 Signal Processing
1 Journal of Global Optimization
1 The Journal of Supercomputing
...and 47 more Serials
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Referenced in 43 Fields

353 Numerical analysis (65-XX)
78 Linear and multilinear algebra; matrix theory (15-XX)
51 Computer science (68-XX)
48 Statistics (62-XX)
45 Fluid mechanics (76-XX)
42 Operations research, mathematical programming (90-XX)
33 Partial differential equations (35-XX)
32 Systems theory; control (93-XX)
20 Approximations and expansions (41-XX)
17 Ordinary differential equations (34-XX)
16 Mechanics of deformable solids (74-XX)
12 Integral equations (45-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Geophysics (86-XX)
9 General and overarching topics; collections (00-XX)
9 Biology and other natural sciences (92-XX)
8 Probability theory and stochastic processes (60-XX)
8 Information and communication theory, circuits (94-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Special functions (33-XX)
6 Mechanics of particles and systems (70-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 History and biography (01-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Optics, electromagnetic theory (78-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Operator theory (47-XX)
4 Quantum theory (81-XX)
3 Functions of a complex variable (30-XX)
3 Astronomy and astrophysics (85-XX)
2 Number theory (11-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
2 Differential geometry (53-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Referencing Publications by Year