SLICOT swMATH ID: 1095 Software Authors: Benner, Peter; Mehrmann, Volker; Sima, Vasile; Van Huffel, Sabine; Varga, Andras Description: The subroutine library SLICOT provides Fortran 77 implementations of numerical algorithms for computations in systems and control theory. Based on numerical linear algebra routines from BLAS and LAPACK libraries, SLICOT provides methods for the design and analysis of control systems. The basic ideas behind the library are:1. usefulness of algorithms; 2. robustness, algorithms must either return reliable results or an error or warning indicator; 3. numerical stability and accuracy: the results are as good as can be expected when working at a given precision. If possible an estimate of the achieved accuracy should be given; 4. performance with respect to speed and memory requirements. Although important because of ever increasing complexity of control problems, this objective may never be met at cost of the two previous ones; 5. portability and reusability: the library should be independent of platforms; 6. standardisation: the library is based on rigorous programming and documentation standards; 7. benchmarking, i.e., a standardised set of examples that allows an evaluation of the performance of a method as well as the implementation with respect to correctness, accuracy, and speed. Benchmarking gives also insight in the behaviour of the method and its implementation in extreme situations, i.e., for problems where the limit of the possible accuracy is reached. Homepage: http://www.slicot.org/index.php?site=slicot Related Software: LAPACK; Matlab; mctoolbox; ScaLAPACK; ARPACK; BLAS; LYAPACK; Algorithm 800; Algorithm 432; Algorithm 705; eigs; JDQZ; JDQR; Robust Control Toolbox; EISPACK; PLAPACK; IRAM; Eigtool; mftoolbox; Control System Toolbox Cited in: 85 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year SLICOT – a subroutine library in systems and control theory. Zbl 1051.93500Benner, Peter; Mehrmann, Volker; Sima, Vasile; Van Huffel, Sabine; Varga, Andras 1999 all top 5 Cited by 115 Authors 17 Benner, Peter 11 Mehrmann, Volker 6 Kressner, Daniel 5 Byers, Ralph 5 Sima, Vasile 5 Varga, Andras 4 Jonsson, Isak 4 Kågström, Bo 4 Oară, Cristian 4 Quintana-Ortí, Enrique S. 4 Stykel, Tatjana 4 Van Huffel, Sabine 3 Gugercin, Serkan 3 Xu, Hongguo 2 Baur, Ulrike 2 Bini, Dario Andrea 2 Bogomolov, Sergiy 2 Bosner, Nela 2 Forets, Marcelo 2 Frehse, Goran 2 Heiland, Jan 2 Hernández, Vicente G. 2 Markovsky, Ivan 2 Marques, Osni A. 2 Meini, Beatrice 2 Podelski, Andreas 2 Poloni, Federico Giovanni 2 Quintana-Ortí, Gregorio 2 Saak, Jens 2 Schilling, Christian 2 Simoncini, Valeria 2 Varga, Andreas 1 Adamou-Mitiche, Amel Baha Houda 1 Albertos, Pedro 1 Anderson, Brian David Outram 1 Andrei, Raluca 1 Antoulas, Athanasios C. 1 Åström, Karl Johan 1 Baars, Sven 1 Bao, Liang 1 Beattie, Christopher A. 1 Blanke, Mogens 1 Boley, Daniel L. 1 Bui-Thanh, Tan 1 Bujanović, Zvonimir 1 Cao, Yanhua 1 Carvalho, João B. 1 Castañé-Selga, Rosa 1 Chu, Eric K.-W. 1 Ciuprina, Gabriela 1 Datta, Biswa N. 1 De Schutter, Bart 1 Dijkstra, Henk A. 1 Drmač, Zlatko 1 Drmavč, Zlatko 1 Eid, Rudy 1 Fan, Hung-Yuan 1 Fazzi, Antonio 1 Flutur, Cristian 1 Ghattas, Omar N. 1 Granat, Robert A. 1 Gu, Dawei 1 Guglielmi, Nicola 1 Hecker, Simon 1 Henning, Lars 1 Iannazzo, Bruno 1 Isidori, Alberto 1 Jungers, Marc 1 Karlsson, Lars 1 Kim, John 1 Köhler, Martin 1 Kühn, Christian 1 Kukush, Oleksandr Georgiĭovych 1 Kuzmin, Dmitri 1 Latouche, Guy 1 Lim, Junwoo 1 Lin, Wen-Wei 1 Lin, Yiqin 1 Lohmann, Boris 1 Losse, Philip 1 Lubich, Christian 1 Magni, Jean-François 1 Mayo, Rafael 1 Mena, Hermann 1 Meuris, Peter 1 Mitchell, Tim 1 Mitiche, Lahcène 1 Mulder, Thomas E. 1 Parmar, G. 1 Penke, Carolin 1 Pintelon, Rik 1 Redivo-Zaglia, Michela 1 Robol, Leonardo 1 Rodriguez, Giuseppe 1 Román, Jose E. 1 Sabău, şerban 1 Sanz, Ricardo 1 Schaufelberger, Walter 1 Seebacher, Ehrenfried 1 Sima, Diana Maria ...and 15 more Authors all top 5 Cited in 39 Serials 9 Linear Algebra and its Applications 8 ACM Transactions on Mathematical Software 5 Journal of Computational and Applied Mathematics 4 SIAM Journal on Matrix Analysis and Applications 4 Numerical Linear Algebra with Applications 3 Automatica 2 Journal of Computational Physics 2 Systems & Control Letters 1 International Journal of Control 1 International Journal of General Systems 1 Computing 1 IEEE Transactions on Automatic Control 1 Numerische Mathematik 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Applied Numerical Mathematics 1 Information and Computation 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Parallel and Distributed Computing 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Review 1 International Journal of Robust and Nonlinear Control 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 ETNA. Electronic Transactions on Numerical Analysis 1 Parallel Algorithms and Applications 1 European Journal of Control 1 Aerospace Science and Technology 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Numerical Modelling 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Applied Mathematics 1 Journal of Control Theory and Applications 1 Lecture Notes in Computational Science and Engineering 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Studies in Systems, Decision and Control 1 Numerical Mathematics and Scientific Computation 1 Fundamentals of Algorithms all top 5 Cited in 20 Fields 53 Numerical analysis (65-XX) 45 Systems theory; control (93-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year