MatrixMarket swMATH ID: 4020 Software Authors: Boisvert, R., Pozo, R., Remington, K., Barrett, R., Dongarra, J Description: The Matrix Market provides convenient access to a repository of test data for use in comparative studies of algorithms for numerical linear algebra. Matrices as well as matrix generation software and services, from linear systems, least squares, and eigenvalue computations in a wide variety of scientific and engineering disciplines are provided. Tools for browsing through the collection or for searching for matrices with special properties are included.Each matrix (and matrix set) has its own ”home page” which provides details of matrix properties, visualization of matrix structure, and permits downloading of the matrix in one of several text file formats. Similarly, each matrix generator has a home page describing its properties. Generators are either static software which you can download and include in your applications, Java applets which will generate matrices in your Web browser, or form-based requests to generate matrices at the Matrix Market and return them to your browser.Currently, 482 individual matrices and 25 matrix generators are available. Our database now includes the entire Harwell-Boeing Sparse Matrix Collection (Release I), Yousef Saad’s SPARSKIT collection, and the Nonsymmetric Eigenvalue Problem (NEP) collection of Bai, Day, Demmel and Dongarra.The Matrix Market is a component of the NIST project on Tools for Evaluation of Mathematical and Statistical Software which has focus areas in linear algebra, special functions and statistics. Homepage: http://math.nist.gov/MatrixMarket/ Keywords: matrix Related Software: SparseMatrix; Matlab; Harwell-Boeing sparse matrix collection; JDQZ; JDQR; LAPACK; ARPACK; mctoolbox; eigs; IRAM; FEAST; ScaLAPACK; PETSc; ILUT; BLAS; BiCGstab; Eigtool; symrcm; Mathematica; SLEPc Cited in: 166 Publications Further Publications: http://math.nist.gov/MatrixMarket/bib.html all top 5 Cited by 354 Authors 5 Saad, Yousef 4 Jing, Yanfei 4 Júdice, Joaquim João 4 Niu, Qiang 4 Simoncini, Valeria 3 Heyouni, Mohammed 3 Hochstenbach, Michiel E. 3 Huang, Ting-Zhu 3 Kostić, Vladimir R. 3 Lu, Linzhang 3 Meerbergen, Karl 3 Międlar, Agnieszka 3 Sleijpen, Gerard L. G. 3 Van Gijzen, Martin Bastiaan 2 Alexandrov, Vassil N. 2 Bai, Zhaojun 2 Bebiano, Natália Isabel Quadros 2 Benner, Peter 2 Benzi, Michele 2 Bollhöfer, Matthias 2 Cabaleiro, José Carlos 2 Camps, Daan 2 Chu, Delin 2 Cvetković, Ljiljana 2 da Providência Santarém e Costa, João 2 da Providencia e Costa, Joao Pinheiro 2 Dwyer, Tim 2 Emad, Nahid 2 Esquivel-Flores, Oscar A. 2 Fan, Hung-Yuan 2 Fernandes, Luis M. 2 Freitag, Melina A. 2 Giraud, Luc 2 Gratton, Serge 2 Guglielmi, Nicola 2 Heggernes, Pinar 2 Heras, Dora B. 2 Higham, Nicholas J. 2 Houstis, Elias N. 2 Jia, Zhongxiao 2 Jiránek, Pavel 2 Kalantzis, Vassilis 2 Koren, Yehuda 2 Kressner, Daniel 2 Li, Liang 2 Marriott, Kim 2 Nata, Ana 2 Niu, Datian 2 Polizzi, Eric 2 Qian, Jiang 2 Rice, John R. 2 Rivera, Francisco F. 2 Rostami, Minghao W. 2 Rozložník, Miroslav 2 Saak, Jens 2 Santos, Sandra Augusta 2 Spence, Alastair 2 Tan, Roger C. E. 2 Toutounian, Faezeh 2 Tůma, Miroslav 2 Vandebril, Raf 2 Wang, Xiang 2 Weichelt, Heiko K. 2 Yin, Guojian 1 Abe, Kuniyoshi 1 Addam, Mohamed 1 Adly, Samir 1 Alkilayh, Maged 1 Alvermann, Andreas 1 Andrew, Alan L. 1 Arnold, Dorian C. 1 Astudillo, Reinaldo 1 Ataei, Alireza 1 Atanassov, Emanouil I. 1 Aurentz, Jared Lee 1 Aykanat, Cevdet 1 Bachmaier, Christian 1 Bai, Zhengjian 1 Bai, Zhongzhi 1 Baitsch, Matthias 1 Bakker, Erwin M. 1 Balas, Egon 1 Bänsch, Eberhard 1 Basermann, Achim 1 Bassi, Alessandro 1 Beck, Micah 1 Behling, Roger 1 Beik, Fatemeh Panjeh Ali 1 Bekas, Constantine 1 Bello Cruz, Jose Yunier 1 Berman, Fran 1 Berry, Anne 1 Bertaccini, Daniele 1 Bertolazzi, Enrico 1 Betcke, Timo 1 Bhaya, Amit 1 Bisseling, Rob H. 1 Blair, Jean R. S. 1 Blanco, Vicente 1 Bramley, Randall B. ...and 254 more Authors all top 5 Cited in 54 Serials 25 SIAM Journal on Scientific Computing 13 Journal of Computational and Applied Mathematics 13 Numerical Linear Algebra with Applications 12 SIAM Journal on Matrix Analysis and Applications 7 BIT 7 Numerical Algorithms 6 Computational Optimization and Applications 5 ACM Transactions on Mathematical Software 4 Applied Numerical Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Linear Algebra and its Applications 3 Journal of Scientific Computing 3 International Journal of Computer Mathematics 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Applied Mathematics and Computation 2 Computing 2 International Journal for Numerical Methods in Engineering 2 Parallel Computing 2 Optimization Methods & Software 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Computer Physics Communications 1 Discrete Mathematics 1 Information Sciences 1 Mathematics and Computers in Simulation 1 Meccanica 1 Numerische Mathematik 1 Theoretical Computer Science 1 International Journal of Parallel Programming 1 International Journal of Approximate Reasoning 1 COMPEL 1 Applied Mathematics Letters 1 FGCS. Future Generation Computer Systems 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 Advances in Engineering Software 1 Applicationes Mathematicae 1 Computational and Applied Mathematics 1 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 INFORMS Journal on Computing 1 Mathematical Problems in Engineering 1 Mathematical Methods of Operations Research 1 Journal of Graph Algorithms and Applications 1 International Journal of Applied Mathematics and Computer Science 1 The Kluwer International Series in Engineering and Computer Science 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Intelligent Systems Reference Library 1 JSIAM Letters 1 Monographs and Research Notes in Mathematics all top 5 Cited in 24 Fields 130 Numerical analysis (65-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 23 Computer science (68-XX) 21 Operations research, mathematical programming (90-XX) 9 Combinatorics (05-XX) 6 Systems theory; control (93-XX) 5 Mechanics of deformable solids (74-XX) 4 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year