StratiGraph swMATH ID: 8331 Software Authors: Kågström, Bo; Johansson, Stefan; Johansson, Pedher Description: StratiGraph tool: matrix stratifications in control applications. The software tool StratiGraph for computing and visualizing closure hierarchy graphs associated with different orbit and bundle stratifications is presented. In addition, we review the underlying theory and illustrate how StratiGraph can be used to analyze descriptor system models via their associated system pencils. The stratification theory provides information for a deeper understanding of how the dynamics of a control system and its system characteristics behave under perturbation. Homepage: http://onlinelibrary.wiley.com/doi/10.1002/nla.253/abstract Keywords: stratification; Jordan and Kronecker canonical form; structure hierarchy; orbit; bundle; StratiGraph; controllability; observability; matrix pencils; perturbation theory Related Software: MCS Toolbox; STCSSP; JDQR; JDQZ; Eigtool; NLEVP; ARPACK; eigs; DGGHRD; DGGHR3; Matlab; HSL-VF05; GQTPAR; LSTRS; CVX; SDPT3; SeDuMi; VanHuffel; PETSc; DSUBSP Cited in: 21 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year StratiGraph tool: matrix stratifications in control applications. Zbl 1317.93005Kågström, Bo; Johansson, Stefan; Johansson, Pedher 2012 Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures. Zbl 1055.65060Elmroth, Erik; Johansson, Pedher; Kågström, Bo 2001 all top 5 Cited by 28 Authors 9 Kågström, Bo 8 Dmytryshyn, Andrii R. 4 Sergeichuk, Vladimir Vasil’evich 3 Futorny, Vyacheslav M. 2 Elmroth, Erik 2 Golub, Gene Howard 2 Johansson, Pedher 2 Klimenko, Lena 2 Van Dooren, Paul M. 1 Adachi, Satoru 1 Bai, Zhaojun 1 Boutry, Gregory 1 Chu, Delin 1 de Terán, Fernando 1 Demmel, James Weldon 1 Dongarra, Jack J. 1 Dopico, Froilán M. 1 Elad, Michael 1 Ito, Shinji 1 Klymchuk, Tetiana 1 Klymenko, Olena 1 Mailybaev, Alexei Abaevich 1 Milanfar, Peyman 1 Murota, Kazuo 1 Nakatsukasa, Yuji 1 Ruhe, Axel 1 Shvai, Nadiya 1 Van der Vorst, Henk Albertus all top 5 Cited in 7 Serials 8 Linear Algebra and its Applications 6 SIAM Journal on Matrix Analysis and Applications 2 Numerical Linear Algebra with Applications 1 Mathematical Programming. Series A. Series B 1 ELA. The Electronic Journal of Linear Algebra 1 Foundations of Computational Mathematics 1 Software - Environments - Tools all top 5 Cited in 9 Fields 18 Linear and multilinear algebra; matrix theory (15-XX) 9 Numerical analysis (65-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year