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MA57

swMATH ID: 536
Software Authors: Duff, Iain S.
Description: MA57 - a code for the solution of sparse symmetric definite and indefinite systems. We introduce a new code for the direct solution of sparse symmetric linear equations that solves indefinite systems with 2 x 2 pivoting for stability. This code, called MA57, is in HSL 2002 and supersedes the well used HSL code MA27. We describe some of the implementation details and emphasize the novel features of MA57. These include restart facilities, matrix modification, partial solution for matrix factors, solution of multiple right-hand sides, and iterative refinement and error analysis. The code is written in Fortran 77, but there are additional facilities within a Fortran 90 implementation that include the ability to identify and change pivots. Several of these facilities have been developed particularly to support optimization applications, and we illustrate the performance of the code on problems arising therefrom.
Homepage: http://dl.acm.org/citation.cfm?id=992202
Related Software: HSL; Ipopt; SparseMatrix; CUTEr; CUTEst; PARDISO; HSL_MA97; SifDec; LOQO; UMFPACK; SNOPT; WSMP; METIS; CHOLMOD; Matlab; qpOASES; LAPACK; AMD; KNITRO; MA27
Cited in: 104 Documents
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Cited by 170 Authors

15 Scott, Jennifer
9 Gould, Nicholas Ian Mark
7 Hogg, Jonathan D.
6 Duff, Iain S.
6 Orban, Dominique
5 Gill, Philip E.
4 Armand, Paul
4 Kirches, Christian
3 Biegler, Lorenz T.
3 Dollar, H. Sue
3 Gerdts, Matthias
3 Rao, Anil V.
3 Sager, Sebastian
3 Toint, Philippe Louis
3 Wong, Elizabeth
2 Arioli, Mario
2 Bock, Hans Georg
2 Chiang, Naiyuan
2 Coda, Humberto Breves
2 Janka, Dennis
2 Oliveira, Aurelio Ribeiro Leite
2 Omheni, Riadh
2 Pascon, João Paulo
2 Petra, Cosmin G.
2 Rees, Tyrone
2 Reid, John
2 Robinson, Daniel P.
2 Saunders, Michael A.
2 Schlöder, Johannes P.
2 Stoll, Martin
2 Thore, Carl-Johan
2 Thorne, H. Sue
2 Tran, Ngoc Nguyen
2 Tůma, Miroslav
2 Wächter, Andreas
2 Wan, Wei
2 Wathen, Andrew John
2 Zavala, Victor M.
1 Abraham, Edo
1 Agamawi, Yunus M.
1 Arreckx, Sylvain
1 Barker, Andrew T.
1 Benner, Peter
1 Benoist, Joël
1 Bergamaschi, Luca
1 Bertolazzi, Enrico
1 Birgin, Ernesto G.
1 Blank, Luise
1 Borrelli, Francesco
1 Bowler, Megan J.
1 Bueno, Luís Felipe
1 Cafieri, Sonia
1 Cannataro, Begüm Şenses
1 Canuto, Claudio
1 Carlebach, Eyal
1 Carson, Erin Claire
1 Chen, Zhongwen
1 Chung, Hayoung
1 Cipolla, Stefano
1 Comerlati, Andrea
1 Conn, Andrew Roger
1 Cristofari, Andrea
1 Cui, Yiran
1 Danielson, Claus
1 Darve, Eric
1 De Simone, Valentina
1 Dehghani, Mohsen
1 Deming, Jody W.
1 di Serafino, Daniela
1 DiPillo, Gianni
1 Domahidi, Alexander
1 Domínguez, Víctor
1 Druinsky, Alex
1 Dussault, Jean-Pierre
1 Egidi, Nadaniela
1 Epshteyn, Yekaterina
1 Forsgren, Anders
1 Friedlander, Michael P.
1 Fritzsche, David
1 Frommer, Andreas
1 Gambolati, Giuseppe
1 Ganesh, Mahadevan
1 Gertz, E. Michael
1 Gervasio, Paola
1 Ghannad, Alexandre
1 Gioia, E.
1 Golden, Kenneth M.
1 Gondzio, Jacek
1 Haeser, Gabriel
1 Hagemann, Michael
1 Hager, William W.
1 Hayami, Ken
1 Heath, William Paul
1 Higham, Nicholas J.
1 Holmberg, Erik
1 Huang, Kuo-Ling
1 Huber, Andreas
1 Janna, Carlo
1 Jerez, Juan Luis
1 Kambampati, Sandilya
...and 70 more Authors
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Cited in 38 Serials

15 Computational Optimization and Applications
12 ACM Transactions on Mathematical Software
8 SIAM Journal on Scientific Computing
5 Numerical Linear Algebra with Applications
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Optimization Theory and Applications
4 SIAM Journal on Matrix Analysis and Applications
4 Optimization Methods & Software
4 Mathematical Programming Computation
3 Linear Algebra and its Applications
2 Journal of Computational Physics
2 Automatica
2 Journal of Computational and Applied Mathematics
2 Mathematical Programming. Series A. Series B
2 SIAM Journal on Optimization
2 Journal of Industrial and Management Optimization
2 INFOR: Information Systems and Operational Research
1 Computers and Fluids
1 International Journal of Control
1 International Journal for Numerical Methods in Engineering
1 Optimal Control Applications & Methods
1 Operations Research Letters
1 Applied Numerical Mathematics
1 Finite Elements in Analysis and Design
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Advances in Engineering Software
1 ETNA. Electronic Transactions on Numerical Analysis
1 INFORMS Journal on Computing
1 Vietnam Journal of Mathematics
1 Multiscale Modeling & Simulation
1 Communications in Computational Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Algorithms
1 International Journal for Numerical Methods in Biomedical Engineering
1 SIAM Spotlights

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