## JDQR

 swMATH ID: 4021 Software Authors: Gerard L.G. Sleijpen Description: From this page you can get a Matlab® implementation of the JDQR algorithm. The JDQR algorithm can be used for computing a few selected eigenvalues with some desirable property together with the associated eigenvectors of a matrix A. The matrix can be real or complex, Hermitian or non-Hermitian, .... The algorithm is effective especially in case A is sparse and of large size. The Jacobi-Davidson method is used to compute a partial Schur decomposition of A. The decomposition leads to the wanted eigenpairs. Homepage: http://www.staff.science.uu.nl/~sleij101/ Related Software: JDQZ; ARPACK; eigs; LAPACK; Matlab; IRAM; lobpcg.m; mctoolbox; TRLan; SLEPc; PETSc; JDCG; SparseMatrix; Eigtool; EIGIFP; NLEVP; PRIMME; BLAS; QMRPACK; Harwell-Boeing sparse matrix collection Cited in: 508 Publications
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### Cited by 736 Authors

 15 Nakatsukasa, Yuji 13 Román, Jose E. 13 Simoncini, Valeria 11 Bai, Zhaojun 11 Lin, Wen-Wei 11 Mehrmann, Volker 11 Van der Vorst, Henk Albertus 10 Jia, Zhongxiao 10 Ye, Qiang 9 Neymeyr, Klaus 9 Voss, Heinrich 9 Wu, Gang 8 Hochstenbach, Michiel E. 8 Kressner, Daniel 8 Meerbergen, Karl 8 Saad, Yousef 8 Wang, Weichung 8 Wei, Yimin 7 Arbenz, Peter 7 Li, Rencang 7 Pan, Victor Yakovlevich 7 Spence, Alastair 6 Dongarra, Jack J. 6 Hwang, Tsung-Min 6 Knyazev, Andrew V. 6 Nechepurenko, Yuri M. 6 Sleijpen, Gerard L. G. 6 Szyld, Daniel B. 5 Baglama, James 5 Benner, Peter 5 Golub, Gene Howard 5 Jarlebring, Elias 5 Liu, Jinn-Liang 5 Ovtchinnikov, Evgueni Eduardovich 5 Rommes, Joost 5 Stathopoulos, Andreas 5 Tisseur, Françoise 5 Zhang, Lei-Hong 5 Zhou, Ming 4 Aishima, Kensuke 4 Bergamaschi, Luca 4 Campos, Carmen 4 Dax, Achiya 4 Demmel, James Weldon 4 Gemignani, Luca 4 Higham, Nicholas J. 4 Huang, Tsungming 4 Marques, Osni A. 4 Notay, Yvan 4 Plestenjak, Bor 4 Romero, Eloy 4 Sadkane, Miloud 4 Schröder, Christian 4 Vasconcelos, Paulo Beleza 4 Vasseur, Xavier 4 Vömel, Christof 4 Xue, Fei 4 Yin, Guojian 4 Zhou, Yunkai 3 Absil, Pierre-Antoine 3 Beattie, Christopher A. 3 Bini, Dario Andrea 3 Bisseling, Rob H. 3 Brandts, Jan H. 3 Eldén, Lars 3 Embree, Mark 3 García, Víctor M. 3 Geus, Roman 3 Hernández, Vicente G. 3 Huang, Weiqiang 3 Huhtanen, Marko 3 Lehoucq, Richard B. 3 Lippert, Ross A. 3 Lu, Linzhang 3 Michiels, Wim 3 Międlar, Agnieszka 3 Pang, Hong-Kui 3 Pini, Giorgio 3 Reichel, Lothar 3 Ruhe, Axel 3 Sakurai, Tetsuya 3 Sorensen, Danny C. 3 Su, Yangfeng 3 Tomljanović, Zoran 3 Tomov, Stanimire Z. 3 van Dorsselaer, Jos L. M. 3 Vidal, Antonio Manuel 3 Wang, Lin-Wang 3 Wang, Wei-Cheng 3 Wang, Xiang 3 Wu, Kesheng 3 Xia, Jianlin 3 Yamamoto, Yusaku 3 Yan, Xiaodong 2 Adachi, Satoru 2 Bella, Tom 2 Bollhöfer, Matthias 2 Boria, V. E. 2 Cai, Yunfeng 2 Canning, Andrew ...and 636 more Authors
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### Cited in 119 Serials

 46 SIAM Journal on Scientific Computing 41 SIAM Journal on Matrix Analysis and Applications 41 Linear Algebra and its Applications 28 Journal of Computational and Applied Mathematics 27 Numerical Linear Algebra with Applications 22 Journal of Computational Physics 18 BIT 14 ETNA. Electronic Transactions on Numerical Analysis 10 Computer Methods in Applied Mechanics and Engineering 10 Computer Physics Communications 9 International Journal for Numerical Methods in Engineering 9 Numerische Mathematik 8 Computers & Mathematics with Applications 8 Applied Mathematics and Computation 8 Applied Numerical Mathematics 8 Journal of Scientific Computing 8 SIAM Review 6 Numerical Algorithms 5 SIAM Journal on Numerical Analysis 5 Japan Journal of Industrial and Applied Mathematics 4 Mathematics of Computation 4 ACM Transactions on Mathematical Software 3 Computational Mechanics 3 Mathematical and Computer Modelling 3 Pattern Recognition 3 Computational Optimization and Applications 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Advances in Computational Mathematics 3 Science China. Mathematics 2 Automatica 2 Calcolo 2 Computing 2 Journal of Parallel and Distributed Computing 2 Applications of Mathematics 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Optimization 2 Communications in Numerical Methods in Engineering 2 Multibody System Dynamics 2 Taiwanese Journal of Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Nonlinear Science and Numerical Simulation 2 Foundations of Computational Mathematics 2 International Journal of Computational Methods 2 Acta Numerica 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 GAMM-Mitteilungen 2 Software - Environments - Tools 2 Communications in Computational Physics 2 S$$\vec{\text{e}}$$MA Journal 1 International Journal of Modern Physics A 1 Applied Scientific Research 1 Computers and Fluids 1 Inverse Problems 1 Information Processing Letters 1 Journal of Applied Mechanics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 International Journal of Circuit Theory and Applications 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Theoretical Computer Science 1 Systems & Control Letters 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Parallel Computing 1 Computers & Operations Research 1 IMA Journal of Mathematical Control and Information 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Cryptology 1 Science in China. Series A 1 Annals of Operations Research 1 Multidimensional Systems and Signal Processing 1 Computational Statistics 1 Annals of Physics 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 Data Mining and Knowledge Discovery 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Numerical Modelling 1 Computational Geosciences 1 Methodology and Computing in Applied Probability 1 The ANZIAM Journal 1 Archives of Computational Methods in Engineering 1 Concurrency and Computation: Practice & Experience 1 Journal of Machine Learning Research (JMLR) 1 EURASIP Journal on Applied Signal Processing 1 International Journal of Pure and Applied Mathematics 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 Structural and Multidisciplinary Optimization 1 Parallel Processing Letters 1 Oberwolfach Reports ...and 19 more Serials
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### Cited in 38 Fields

 426 Numerical analysis (65-XX) 106 Linear and multilinear algebra; matrix theory (15-XX) 33 Partial differential equations (35-XX) 29 Computer science (68-XX) 25 Fluid mechanics (76-XX) 23 Mechanics of deformable solids (74-XX) 23 Statistical mechanics, structure of matter (82-XX) 23 Operations research, mathematical programming (90-XX) 20 Systems theory; control (93-XX) 19 Optics, electromagnetic theory (78-XX) 19 Quantum theory (81-XX) 16 Ordinary differential equations (34-XX) 16 Statistics (62-XX) 12 Operator theory (47-XX) 10 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 9 Information and communication theory, circuits (94-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Approximations and expansions (41-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Geophysics (86-XX) 3 Field theory and polynomials (12-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)