## JDQZ

 swMATH ID: 7031 Software Authors: D.R. Fokkema; G.L.G. Sleijpen; H.A. van der Vorst Description: Matlab® implementation of the JDQZ algorithm. The JDQZ algorithm can be used for computing a few selected eigenvalues with some desirable property together with the associated eigenvectors of a matrix pencil A-lambda*B. The matrices can be real or complex, Hermitian or non-Hermitian, .... The algorithm is effective especially in case A and B are sparse and of large size. The Jacobi-Davidson method is used to compute a partial generalized Schur decomposition of the pair (A,B). The decomposition leads to the wanted eigenpairs. Homepage: http://www.staff.science.uu.nl/~sleij101/index.html Dependencies: Matlab Keywords: Jacobi-Davidson method Related Software: JDQR; ARPACK; eigs; IRAM; lobpcg.m; LAPACK; Matlab; TRLan; mctoolbox; JDCG; SLEPc; PETSc; SparseMatrix; EIGIFP; NLEVP; Eigtool; BLAS; QMRPACK; Harwell-Boeing sparse matrix collection; PRIMME Referenced in: 612 Publications
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### Referenced by 850 Authors

 19 Jia, Zhongxiao 18 Lin, Wen-Wei 16 Nakatsukasa, Yuji 14 Simoncini, Valeria 13 Mehrmann, Volker 13 Román, Jose E. 12 Bai, Zhaojun 12 Van der Vorst, Henk Albertus 11 Miao, Cun-Qiang 10 Meerbergen, Karl 10 Neymeyr, Klaus 10 Wang, Weichung 10 Wu, Gang 10 Ye, Qiang 9 Li, Rencang 9 Saad, Yousef 9 Voss, Heinrich 8 Hochstenbach, Michiel E. 8 Kressner, Daniel 8 Sleijpen, Gerard L. G. 8 Wei, Yimin 7 Bergamaschi, Luca 7 Golub, Gene Howard 7 Jarlebring, Elias 7 Pan, Victor Yakovlevich 7 Pini, Giorgio 7 Szyld, Daniel B. 7 Zhang, Lei-Hong 6 Baglama, James 6 Huang, Tsungming 6 Hwang, Tsung-Min 6 Sorensen, Danny C. 6 Spence, Alastair 6 Zhou, Yunkai 5 Benner, Peter 5 Knyazev, Andrew V. 5 Liu, Jinn-Liang 5 Ovtchinnikov, Evgueni Eduardovich 5 Ruhe, Axel 5 Schröder, Christian 5 Stathopoulos, Andreas 5 Tisseur, Françoise 5 Wang, Lin-Wang 5 Xue, Fei 5 Zhou, Ming 4 Absil, Pierre-Antoine 4 Aishima, Kensuke 4 Arbenz, Peter 4 Campos, Carmen 4 Dax, Achiya 4 Demmel, James Weldon 4 Dongarra, Jack J. 4 Eldén, Lars 4 Gemignani, Luca 4 Higham, Nicholas J. 4 Lehoucq, Richard B. 4 Lu, Linzhang 4 Marques, Osni A. 4 Michiels, Wim 4 Nechepurenko, Yuri M. 4 Notay, Yvan 4 Plestenjak, Bor 4 Reichel, Lothar 4 Romero, Eloy 4 Sakurai, Tetsuya 4 Vasconcelos, Paulo Beleza 4 Vömel, Christof 4 Wang, Li 4 Wang, Xiang 4 Yang, Chao 4 Yin, Guojian 3 Beattie, Christopher A. 3 Bini, Dario Andrea 3 Bisseling, Rob H. 3 Brandts, Jan H. 3 Embree, Mark 3 Fattebert, Jean-Luc 3 Fokkema, Diederik R. 3 Freitag, Melina A. 3 García, Víctor M. 3 Hernández, Vicente G. 3 Huang, Weiqiang 3 Huhtanen, Marko 3 Lin, Lin 3 Lippert, Ross A. 3 Litvinenko, Alexander 3 Międlar, Agnieszka 3 Morgan, Ronald B. 3 Niu, Qiang 3 Pang, Hong-Kui 3 Rommes, Joost 3 Sadkane, Miloud 3 Sartoretto, Flavio 3 Su, Yangfeng 3 Tomljanović, Zoran 3 Tomov, Stanimire Z. 3 Van Dooren, Paul M. 3 Vasseur, Xavier 3 Vecharynski, Eugene 3 Vidal, Antonio Manuel ...and 750 more Authors
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### Referenced in 131 Serials

 53 Linear Algebra and its Applications 52 SIAM Journal on Scientific Computing 50 SIAM Journal on Matrix Analysis and Applications 38 Journal of Computational Physics 35 Numerical Linear Algebra with Applications 33 Journal of Computational and Applied Mathematics 20 BIT 15 ETNA. Electronic Transactions on Numerical Analysis 12 Applied Numerical Mathematics 11 Computers & Mathematics with Applications 11 Computer Physics Communications 11 Numerische Mathematik 10 Journal of Scientific Computing 9 International Journal for Numerical Methods in Engineering 9 Numerical Algorithms 9 SIAM Review 8 Computer Methods in Applied Mechanics and Engineering 8 Mathematics of Computation 8 Applied Mathematics and Computation 6 SIAM Journal on Numerical Analysis 6 Japan Journal of Industrial and Applied Mathematics 4 Computational Mechanics 3 ACM Transactions on Mathematical Software 3 Mathematical and Computer Modelling 3 Science in China. Series A 3 Pattern Recognition 3 Computational Optimization and Applications 3 Advances in Computational Mathematics 3 Mathematical Problems in Engineering 3 Taiwanese Journal of Mathematics 3 Acta Numerica 3 GAMM-Mitteilungen 3 Science China. Mathematics 3 East Asian Journal on Applied Mathematics 2 Automatica 2 Calcolo 2 Computing 2 Journal of Optimization Theory and Applications 2 Applications of Mathematics 2 International Journal of Computer Mathematics 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Optimization 2 Communications in Numerical Methods in Engineering 2 Applied and Computational Harmonic Analysis 2 Computational and Applied Mathematics 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Multibody System Dynamics 2 Mathematical Methods of Operations Research 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Numerical Modelling 2 Communications in Nonlinear Science and Numerical Simulation 2 The ANZIAM Journal 2 Foundations of Computational Mathematics 2 Computational Methods in Applied Mathematics 2 International Journal of Computational Methods 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Computational Physics 2 Journal of Mathematics in Industry 2 S$$\vec{\text{e}}$$MA Journal 1 International Journal of Modern Physics A 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Inverse Problems 1 Information Processing Letters 1 Journal of Applied Mechanics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 International Journal of Circuit 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 Physica D 1 Parallel Computing 1 Computers & Operations Research 1 Journal of Cryptology 1 Journal of Parallel and Distributed Computing 1 Annals of Operations Research 1 Multidimensional Systems and Signal Processing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Statistics 1 Annals of Physics 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 Archive of Applied Mechanics 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Engineering Analysis with Boundary Elements 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Data Mining and Knowledge Discovery 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computational Geosciences 1 Methodology and Computing in Applied Probability 1 Archives of Computational Methods in Engineering 1 Concurrency and Computation: Practice & Experience ...and 31 more Serials
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### Referenced in 42 Fields

 511 Numerical analysis (65-XX) 125 Linear and multilinear algebra; matrix theory (15-XX) 44 Partial differential equations (35-XX) 32 Statistical mechanics, structure of matter (82-XX) 30 Computer science (68-XX) 29 Operations research, mathematical programming (90-XX) 27 Quantum theory (81-XX) 26 Fluid mechanics (76-XX) 25 Systems theory; control (93-XX) 23 Mechanics of deformable solids (74-XX) 22 Optics, electromagnetic theory (78-XX) 21 Statistics (62-XX) 19 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 12 Probability theory and stochastic processes (60-XX) 10 Mechanics of particles and systems (70-XX) 8 Information and communication theory, circuits (94-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 6 Geophysics (86-XX) 5 Combinatorics (05-XX) 4 Harmonic analysis on Euclidean spaces (42-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 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX)