TRLan swMATH ID: 4029 Software Authors: Kesheng Wu; Horst Simon Description: TRLan software package This software package implements the thick-restart Lanczos method. It can be used on either a single address space machine or a distributed parallel machine. The user can choose to implement or use a matrix-vector multiplication routine in any form convenient. Most of the arithmetic computations in the software are done through calls to BLAS and LAPACK. The software is written in Fortran 90. Because Fortran 90 offers many utility functions such functions such as dynamic memory management, timing functions, random number generator and so on, the program is easily portable to different machines without modifying the source code. It can also be easily accessed from other language such as C or C++. Since the software is highly modularized, it relatively easy to adopt it for different type of situation. For example if the eigenvalue problem may have some symmetry and only a portion of the physical domain is discretized, then the dot-product routine needs to be modified. In this software, this modification is limited to one subroutine. It also can be instructed to write checkpoint files so that it can be restarted is a later time. Homepage: http://crd.lbl.gov/~kewu/trlan.html Related Software: IRAM; JDQZ; ARPACK; JDQR; eigs; a-TRLan; PRIMME; SLEPc; lobpcg.m; SparseMatrix; PETSc; LAPACK; PROPACK; na26; mctoolbox; irbleigs; PRIMME_SVDS; PHSVDS; EIGIFP; Matlab Cited in: 70 Publications all top 5 Cited by 114 Authors 7 Wu, Gang 6 Baglama, James 4 Dax, Achiya 4 Román, Jose E. 4 Saad, Yousef 4 Stathopoulos, Andreas 4 Zhou, Yunkai 3 Morgan, Ronald B. 3 Simon, Horst D. 3 Wu, Kesheng 2 Aishima, Kensuke 2 Bella, Tom 2 Campos, Carmen 2 Huang, Tsungming 2 Li, Ruipeng 2 Picucci, Jennifer 2 Reichel, Lothar 2 Vecharynski, Eugene 2 Wang, Lin-Wang 2 Wang, Weichung 2 Watkins, David S. 2 Wilcox, Walter M. 2 Wu, Lingfei 2 Xi, Yuanzhe 2 Xu, Tingting 2 Yang, Chao 1 Abdel-Rehim, Abdou M. 1 Andersen, Christian 1 Anderson, Christopher R. 1 Bai, Zhaojun 1 Barlow, Jesse L. 1 Beinert, Robert 1 Bosch, Jessica 1 Bulava, John 1 Calo, Victor Manuel 1 Canning, Andrew 1 Cardona-Serra, S. 1 Chang, Wei-Jen 1 Chelikowsky, James R. 1 Chen, Zhibing 1 Clemente-Juan, J. M. 1 Darnell, Dean 1 David, Roden J. A. 1 de Sturler, Eric 1 Dong, Yongxin 1 Du, Kui 1 Eiermann, Michael 1 Eisenstat, Stanley C. 1 Erlandson, Lucas 1 Ernst, Oliver G. 1 Feng, Bo 1 Feng, Tingting 1 Goldenberg, Steven 1 Golyandina, Nina 1 Greif, Chen 1 Gu, Chuanqing 1 Gu, Ming 1 Gu, Xian-Ming 1 Guarracino, Mario Rosario 1 Hashemian, Ali 1 Hernández, Vicente G. 1 Hörz, Ben 1 Hu, Qianying 1 Huang, Ting-Zhu 1 Huang, Yin-Liang 1 Jakovčević Stor, Nevena 1 Johnson, Duane D. 1 Ju, Shen-Haw 1 Kestyn, James 1 Khoromskiĭ, Boris Nikolaevich 1 Korobeynikov, Anton 1 Kuo, Yueh-Cheng 1 Li, Rencang 1 Lin, Wen-Wei 1 Litvinenko, Alexander 1 Mackey, Greg 1 Maiti, Spandan 1 Matthies, Hermann Georg 1 Morningstar, Colin J. 1 Neymeyr, Klaus 1 Nicely, Dywayne A. 1 Orginos, Konstantinos 1 Pardo, David 1 Parks, Michael L. 1 Perla, Francesca 1 Polizzi, Eric 1 Potts, Daniel 1 Rahman, Sharif 1 Romero, Eloy 1 Shen, Zhaoli 1 Slapničar, Ivan 1 Sogabe, Tomohiro 1 Specogna, Ruben 1 Steidl, Gabriele 1 Stewart, Gilbert Wright 1 Stoll, Martin 1 Tang, Ping Tak Peter 1 Tasche, Manfred 1 Teng, Zhongming 1 Trevisan, Francesco ...and 14 more Authors all top 5 Cited in 29 Serials 13 SIAM Journal on Scientific Computing 8 Linear Algebra and its Applications 6 Journal of Computational Physics 5 Journal of Computational and Applied Mathematics 4 Numerical Algorithms 3 SIAM Journal on Matrix Analysis and Applications 2 Computer Methods in Applied Mechanics and Engineering 2 ACM Transactions on Mathematical Software 2 BIT 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Advances in Computational Mathematics 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Nuclear Physics. B 1 Calcolo 1 Computing 1 Numerische Mathematik 1 Computers & Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Statistics and Data Analysis 1 Journal of Mathematical Imaging and Vision 1 ETNA. Electronic Transactions on Numerical Analysis 1 Computing and Visualization in Science 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Computational Methods 1 East Asian Journal on Applied Mathematics 1 International Journal of Applied and Computational Mathematics 1 Results in Applied Mathematics all top 5 Cited in 13 Fields 65 Numerical analysis (65-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 6 Partial differential equations (35-XX) 6 Quantum theory (81-XX) 5 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year