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eigs

swMATH ID: 3702
Software Authors: MathWorks, Inc.; Sorensen, Danny C.
Description: eigs: Largest eigenvalues and eigenvectors of matrix The author describes and analyses a new implementation of the Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors of a large general square matrix (which reduces to the Lanczos method in the symmetric case). Using a truncated variant of the implicitly shifted QR-iteration, the author applies a polynomial filter to the Arnoldi (Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages of the method are discussed and some preliminary computational results using parallel and vector computers are given.
Homepage: http://www.mathworks.com/help/matlab/ref/eigs.html
Dependencies: Matlab
Related Software: IRAM; ARPACK; JDQZ; JDQR; Eigtool; Matlab; Harwell-Boeing sparse matrix collection; TRLan; LAPACK; lobpcg.m; PROPACK; MatrixMarket; Seigtool; SparseMatrix; mctoolbox; BLAS; SRRIT; na26; Algorithm 432; SLEPc
Cited in: 326 Publications
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Cited by 476 Authors

13 Jia, Zhongxiao
12 Reichel, Lothar
12 Sorensen, Danny C.
11 Meerbergen, Karl
9 Wu, Gang
7 Baglama, James
7 Benner, Peter
7 Zhou, Yunkai
6 Abdel-Aziz, Mohammedi R.
6 Calvetti, Daniela
6 Faßbender, Heike
6 Morgan, Ronald B.
6 Najafi, H. Saberi
6 Saad, Yousef
5 Gattringer, Christof
5 Lin, Wen-Wei
5 Szularz, Marek
5 Weston, J. S.
4 Clint, Maurice
4 Hebermehl, Georg
4 Heinrich, Wolfgang
4 Niu, Datian
4 Sadkane, Miloud
4 Schlundt, Rainer
4 Stathopoulos, Andreas
4 Van der Vorst, Henk Albertus
4 Van Dooren, Paul M.
4 Vandebril, Raf
4 Watkins, David S.
4 Zscheile, Horst
3 Antoulas, Athanasios C.
3 Bai, Zhaojun
3 Camps, Daan
3 Eldén, Lars
3 Embree, Mark
3 Ghazvini, H.
3 Göckeler, Meinulf
3 Golub, Gene Howard
3 Grimme, Eric
3 Hip, Ivan
3 Hochstenbach, Michiel E.
3 Lang, Christian B.
3 Lehoucq, Richard B.
3 Mehrmann, Volker
3 Miao, Cun-Qiang
3 Rakow, Paul E. L.
3 Refahi, A. H.
3 Román, Jose E.
3 Ruhe, Axel
3 Schmid, Peter Joseph
3 Simoncini, Valeria
3 Spence, Alastair
3 Stoll, Martin
3 Trefethen, Lloyd Nicholas
2 Arbenz, Peter
2 Bella, Tom
2 Bhuruth, Muddun
2 Björck, Åke
2 Boojhawon, Ravindra
2 Brandts, Jan H.
2 Bujanović, Zvonimir
2 Bultheel, Adhemar François
2 Canning, Andrew
2 Chen, Guizhi
2 Daube, Olivier
2 Dax, Achiya
2 De Samblanx, Gorik
2 Dongarra, Jack J.
2 Dookhitram, Kumar
2 Drmač, Zlatko
2 Duintjer Tebbens, Jurjen
2 Emad, Nahid
2 Grote, Marcus J.
2 Gu, Chuanqing
2 Gugercin, Serkan
2 Hansen, Per Christian
2 Heuveline, Vincent
2 Higham, Nicholas J.
2 Hou, Thomas Yizhao
2 Huang, Tsungming
2 Huang, Weiqiang
2 Hübner, Friedrich-Karl
2 Katsouleas, Georgios
2 Kressner, Daniel
2 Le Quéré, Patrick
2 Li, Yiming
2 Lu, Linzhang
2 Maroulas, John
2 Nahum, Uri
2 Noschese, Silvia
2 Picucci, Jennifer
2 Plestenjak, Bor
2 Rostami, Minghao W.
2 Schäfer, Stefan
2 Shieh, Shih-Feng
2 Tischler, Thorsten
2 Tisseur, Françoise
2 Vömel, Christof
2 Wang, Lin-Wang
2 Wei, Yimin
...and 376 more Authors
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Cited in 84 Serials

29 Linear Algebra and its Applications
27 Journal of Computational and Applied Mathematics
24 SIAM Journal on Scientific Computing
21 Numerical Linear Algebra with Applications
20 SIAM Journal on Matrix Analysis and Applications
19 Applied Mathematics and Computation
15 Journal of Computational Physics
13 Numerical Algorithms
12 BIT
9 Mathematical and Computer Modelling
7 Journal of Fluid Mechanics
7 Applied Numerical Mathematics
6 Computer Methods in Applied Mechanics and Engineering
6 ETNA. Electronic Transactions on Numerical Analysis
5 Computers & Mathematics with Applications
4 Mathematics of Computation
4 Numerische Mathematik
3 International Journal for Numerical Methods in Fluids
3 Nuclear Physics. B
3 Theoretical and Computational Fluid Dynamics
3 Parallel Computing
3 Journal of Scientific Computing
2 Computers and Fluids
2 ACM Transactions on Mathematical Software
2 Mathematics and Computers in Simulation
2 COMPEL
2 Japan Journal of Industrial and Applied Mathematics
2 Mathematical Programming. Series A. Series B
2 Nuclear Physics. B. Proceedings Supplements
2 Multiscale Modeling & Simulation
2 East Asian Journal on Applied Mathematics
1 Computer Physics Communications
1 Computers and Structures
1 Inverse Problems
1 Nonlinearity
1 Physica A
1 Physics Letters. B
1 Physics Reports
1 International Journal for Numerical Methods in Engineering
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Numerical Functional Analysis and Optimization
1 Systems & Control Letters
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Computer Aided Geometric Design
1 Journal of Computational Mathematics
1 Physica D
1 Computational Mechanics
1 Asia-Pacific Journal of Operational Research
1 Applied Mathematics Letters
1 Journal of Parallel and Distributed Computing
1 Neural Networks
1 Signal Processing
1 Surveys on Mathematics for Industry
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 International Journal of Computer Mathematics
1 Archive of Applied Mechanics
1 SIAM Journal on Optimization
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Computational Optimization and Applications
1 Physics of Fluids
1 Computational and Applied Mathematics
1 ELA. The Electronic Journal of Linear Algebra
1 Parallel Algorithms and Applications
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Optimization Methods & Software
1 Taiwanese Journal of Mathematics
1 Mathematical Methods of Operations Research
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 International Journal of Numerical Modelling
1 International Journal of Applied Mathematics and Computer Science
1 Far East Journal of Mathematical Sciences
1 The ANZIAM Journal
1 Archives of Computational Methods in Engineering
1 GAMM-Mitteilungen
1 Software - Environments - Tools
1 Advances in Data Analysis and Classification. ADAC
1 Communications in Computational Physics
1 Science China. Mathematics
1 International Journal of Applied and Computational Mathematics
1 Lecture Notes in Electrical Engineering
1 Results in Applied Mathematics

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