UTV swMATH ID: 5213 Software Authors: Fierro, Ricardo D.; Hansen, Per Christian Description: UTV Expansin pack: Special-purpose rank-revealing algorithms. This collection of Matlab 7.0 software supplements and complements the package UTV Tools from 1999, and includes implementations of special-purpose rank-revealing algorithms developed since the publication of the original package. We provide algorithms for computing and modifying symmetric rank-revealing VSV decompositions, we expand the algorithms for the ULLV decomposition of a matrix pair to handle interference-type problems with a rank-deficient covariance matrix, and we provide a robust and reliable Lanczos algorithm which – despite its simplicity is – able to capture all the dominant singular values of a sparse or structured matrix. These new algorithms have applications in signal processing, optimization and LSI information retrieval. Homepage: http://www2.imm.dtu.dk/~pcha/UTV/utv.html Dependencies: Matlab Keywords: rank-revealing decompositions; up- and downdating; rank reduction; noise reduction; Lanczos algorithms; software package; numerical examples; UTV Tools Related Software: Regularization tools; Matlab; LSQR; AIR tools; VanHuffel; RestoreTools; IR Tools; mctoolbox; LSMR; LAPACK; JDQZ; corner.m; JDQR; ARPACK; ErresTools; PDCO; NAG; GitHub; L-BFGS; cosereg Cited in: 279 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year UTV tools: Matlab templates for rank-revealing UTV decompositions. Zbl 0936.65054Fierro, Ricardo D.; Hansen, Per Christian; Hansen, Peter Søren Kirk 1999 Low-rank revealing \(UTV\) decompositions. Zbl 0887.65043Fierro, Ricardo D.; Hansen, Per Christian 1997 all top 5 Cited by 536 Authors 16 Marin, Liviu 11 Jia, Zhongxiao 10 Hansen, Per Christian 9 Novati, Paolo 6 Reichel, Lothar 5 Jin, Bangti 5 Lesnic, Daniel 5 Rodriguez, Giuseppe 5 Van Huffel, Sabine 4 Buccini, Alessandro 4 Calvetti, Daniela 4 Hochstenbach, Michiel E. 4 Lee, Haesung 4 Renaut, Rosemary Anne 4 Revunova, E. G. 4 Russo, Maria Rosaria 4 Somersalo, Erkki 3 Brezinski, Claude 3 Buryachenko, Valeriy A. 3 Fierro, Ricardo D. 3 Gratton, Serge 3 Hnětynková, Iveta 3 Lampe, Jörg 3 Mastronardi, Nicola 3 Nagy, James Gerard 3 Park, Hyunwoo 3 Redivo-Zaglia, Michela 3 Sgallari, Fiorella 3 Sima, Diana Maria 3 Toint, Philippe L. 3 Voss, Heinrich 2 Aminikhah, Hossein 2 Arcucci, Rossella 2 Bardsley, Johnathan M. 2 Ben Belgacem, Faker 2 Braga, Joao Paulo 2 Caruso, Noe Angelo 2 Chung, Matthias 2 Cochran, Douglas 2 Cornelio, Anastasia 2 Cui, Tiangang 2 Deng, Liangjian 2 Doostan, Alireza 2 Dos Santos, José Paulo Carvalho 2 Eldén, Lars 2 Elfving, Tommy 2 Elsheikh, Ahmed H. 2 Erbay, Hasan 2 França, Francis H. R. 2 Gallego, Rafael 2 Gazzola, Silvia 2 Haber, Eldad 2 Hajarian, Masoud 2 Hansen, Jakob K. 2 Hasanoǧlu, Alemdar 2 Hayami, Ken 2 Hon, Yiu-Chung 2 Hoteit, Ibrahim 2 Huang, Jinzhi 2 Huang, Ting-Zhu 2 Huybrechs, Daan 2 Ingham, Derek Binns 2 Johansson, B. Tomas 2 Lemes, Nelson H. T. 2 Lemmerling, Philippe 2 Li, Jianbing 2 Luiken, Nick 2 Morigi, Serena 2 Ng, Michael Kwok-Po 2 O’Leary, Dianne P. 2 Pitolli, Francesca 2 Porta, Federica 2 Rundell, William 2 Rus, Guillermo 2 Santos, Taináh M. R. 2 Seatzu, Sebastiano 2 Skoglund, Ingegerd 2 Sladek, Jan 2 Sladek, Vladimir 2 Tavares, Camila A. 2 Tenorio, Luis 2 Titley-Péloquin, David 2 van Leeuwen, Tristan 2 van Lith, Bart S. 2 Vantaggi, Barbara 2 Viloche Bazán, Fermín S. 2 Wang, Tao 2 Wang, Xuesong 2 Wei, Yimin 2 Wen, Pihua 2 Wen, Youwei 2 Wheeler, Mary Fanett 2 Yan, Liang 2 Yang, Fenglian 2 Yang, Yanfei 2 Yousefi, Mahsa 2 Zare, Hossein 2 Zeng, Zhonggang 2 Zhao, Xile 2 Zou, Jun ...and 436 more Authors all top 5 Cited in 102 Serials 16 Numerical Algorithms 14 Engineering Analysis with Boundary Elements 13 Inverse Problems 12 Journal of Computational Physics 11 Journal of Computational and Applied Mathematics 10 Applied Mathematics and Computation 10 Applied Numerical Mathematics 10 Linear Algebra and its Applications 10 SIAM Journal on Scientific Computing 9 Numerical Linear Algebra with Applications 8 International Journal for Numerical Methods in Engineering 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of Scientific Computing 6 BIT 6 Computational Statistics and Data Analysis 6 Inverse Problems in Science and Engineering 5 Computers & Mathematics with Applications 4 International Journal of Heat and Mass Transfer 4 Cybernetics and Systems Analysis 3 SIAM Journal on Matrix Analysis and Applications 3 ETNA. Electronic Transactions on Numerical Analysis 3 Inverse Problems and Imaging 3 SIAM/ASA Journal on Uncertainty Quantification 2 International Journal for Numerical Methods in Fluids 2 International Journal of Solids and Structures 2 Journal of Engineering Mathematics 2 Mathematics of Computation 2 ACM Transactions on Mathematical Software 2 SIAM Journal on Numerical Analysis 2 Computational Mechanics 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Imaging and Vision 2 Computational and Applied Mathematics 2 Turkish Journal of Mathematics 2 Journal of Inverse and Ill-Posed Problems 2 Mathematical Problems in Engineering 2 Mathematics and Mechanics of Solids 2 Computational Geosciences 2 Science China. Mathematics 1 Computer Physics Communications 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Physica A 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Fortschritte der Physik 1 Applied Mathematics and Optimization 1 Journal of the American Statistical Association 1 Journal of Differential Equations 1 Journal of Multivariate Analysis 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Theoretical Computer Science 1 Circuits, Systems, and Signal Processing 1 Physica D 1 Journal of Computer Science and Technology 1 International Journal of Intelligent Systems 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Journal of Economic Dynamics & Control 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Applications of Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Computational Optimization and Applications 1 Applied and Computational Harmonic Analysis 1 International Journal of Computer Vision 1 Top 1 Finance and Stochastics 1 Journal of Vibration and Control 1 Mathematical Communications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Statistical Modelling 1 Journal of Machine Learning Research (JMLR) 1 ANACM. Applied Numerical Analysis and Computational Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Computational Methods 1 Journal of Hyperbolic Differential Equations 1 Advances in Difference Equations 1 SIAM Monographs on Mathematical Modeling and Computation 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 SIAM Journal on Imaging Sciences 1 Mathematical Geosciences 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Journal of Probability and Statistics 1 Afrika Matematika 1 Frontiers of Computer Science 1 Forum of Mathematics, Sigma 1 Mathematical Sciences 1 JSIAM Letters ...and 2 more Serials all top 5 Cited in 29 Fields 202 Numerical analysis (65-XX) 36 Information and communication theory, circuits (94-XX) 33 Partial differential equations (35-XX) 31 Mechanics of deformable solids (74-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 24 Statistics (62-XX) 22 Operations research, mathematical programming (90-XX) 18 Computer science (68-XX) 17 Fluid mechanics (76-XX) 14 Geophysics (86-XX) 14 Biology and other natural sciences (92-XX) 13 Operator theory (47-XX) 13 Optics, electromagnetic theory (78-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Systems theory; control (93-XX) 9 Integral equations (45-XX) 6 Probability theory and stochastic processes (60-XX) 5 Integral transforms, operational calculus (44-XX) 4 Approximations and expansions (41-XX) 4 Quantum theory (81-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) Citations by Year