de Terán, Fernando; Dopico, Froilán M. On bundles of matrix pencils under strict equivalence. (English) Zbl 1507.15010 Linear Algebra Appl. 658, 1-31 (2023). Reviewer: John D. Dixon (Ottawa) MSC: 15A22 15A18 15A21 15A54 PDFBibTeX XMLCite \textit{F. de Terán} and \textit{F. M. Dopico}, Linear Algebra Appl. 658, 1--31 (2023; Zbl 1507.15010) Full Text: DOI arXiv
Futorny, Vyacheslav; Klymchuk, Tetiana; Klymenko, Olena; Sergeichuk, Vladimir V.; Shvai, Nadiya Perturbation theory of matrix pencils through miniversal deformations. (English) Zbl 1482.15008 Linear Algebra Appl. 614, 455-499 (2021). Reviewer: Kui Ji (Shijiazhuang) MSC: 15A21 15A18 15A22 15A45 47A55 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 614, 455--499 (2021; Zbl 1482.15008) Full Text: DOI
Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo; Van Dooren, Paul Geometry of matrix polynomial spaces. (English) Zbl 1444.15007 Found. Comput. Math. 20, No. 3, 423-450 (2020). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 15A22 47A07 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Found. Comput. Math. 20, No. 3, 423--450 (2020; Zbl 1444.15007) Full Text: DOI
Dmytryshyn, Andrii Miniversal deformations of pairs of symmetric matrices under congruence. (English) Zbl 1414.15014 Linear Algebra Appl. 568, 84-105 (2019). MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{A. Dmytryshyn}, Linear Algebra Appl. 568, 84--105 (2019; Zbl 1414.15014) Full Text: DOI arXiv
Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo Canonical structure transitions of system pencils. (English) Zbl 1373.93072 SIAM J. Matrix Anal. Appl. 38, No. 4, 1249-1267 (2017). MSC: 93B10 15A22 15A21 65F15 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1249--1267 (2017; Zbl 1373.93072) Full Text: DOI
Dmytryshyn, Andrii Structure preserving stratification of skew-symmetric matrix polynomials. (English) Zbl 1370.15008 Linear Algebra Appl. 532, 266-286 (2017). MSC: 15A21 15A22 65F15 47A07 PDFBibTeX XMLCite \textit{A. Dmytryshyn}, Linear Algebra Appl. 532, 266--286 (2017; Zbl 1370.15008) Full Text: DOI Link
Dmytryshyn, Andrii Miniversal deformations of pairs of skew-symmetric matrices under congruence. (English) Zbl 1346.15012 Linear Algebra Appl. 506, 506-534 (2016). MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{A. Dmytryshyn}, Linear Algebra Appl. 506, 506--534 (2016; Zbl 1346.15012) Full Text: DOI arXiv
Ito, Shinji; Murota, Kazuo An algorithm for the generalized eigenvalue problem for nonsquare matrix pencils by minimal perturbation approach. (English) Zbl 1376.65050 SIAM J. Matrix Anal. Appl. 37, No. 1, 409-419 (2016). MSC: 65F15 15A22 65F20 PDFBibTeX XMLCite \textit{S. Ito} and \textit{K. Murota}, SIAM J. Matrix Anal. Appl. 37, No. 1, 409--419 (2016; Zbl 1376.65050) Full Text: DOI
Dmytryshyn, Andrii; Futorny, Vyacheslav; Kågström, Bo; Klimenko, Lena; Sergeichuk, Vladimir V. Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence. (English) Zbl 1305.15032 Linear Algebra Appl. 469, 305-334 (2015). MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Linear Algebra Appl. 469, 305--334 (2015; Zbl 1305.15032) Full Text: DOI arXiv
Dmytryshyn, Andrii; Kågström, Bo Orbit closure hierarchies of skew-symmetric matrix pencils. (English) Zbl 1315.15012 SIAM J. Matrix Anal. Appl. 35, No. 4, 1429-1443 (2014). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A22 15A21 15B57 PDFBibTeX XMLCite \textit{A. Dmytryshyn} and \textit{B. Kågström}, SIAM J. Matrix Anal. Appl. 35, No. 4, 1429--1443 (2014; Zbl 1315.15012) Full Text: DOI
Futorny, Vyacheslav; Klimenko, Lena; Sergeichuk, Vladimir Change of the \(^*\)congruence canonical form of 2-by-2 matrices under perturbations. (English) Zbl 1288.15015 Electron. J. Linear Algebra 27, 146-154 (2014). MSC: 15A21 05C50 05C20 PDFBibTeX XMLCite \textit{V. Futorny} et al., Electron. J. Linear Algebra 27, 146--154 (2014; Zbl 1288.15015) Full Text: DOI arXiv
Johansson, Stefan; Kågström, Bo; Van Dooren, Paul Stratification of full rank polynomial matrices. (English) Zbl 1281.15019 Linear Algebra Appl. 439, No. 4, 1062-1090 (2013). MSC: 15A54 15A22 15A18 PDFBibTeX XMLCite \textit{S. Johansson} et al., Linear Algebra Appl. 439, No. 4, 1062--1090 (2013; Zbl 1281.15019) Full Text: DOI
Dmytryshyn, Andrii; Kågström, Bo; Sergeichuk, Vladimir V. Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations. (English) Zbl 1266.15020 Linear Algebra Appl. 438, No. 8, 3375-3396 (2013). Reviewer: Chen Sheng (Harbin) MSC: 15A22 15A24 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Linear Algebra Appl. 438, No. 8, 3375--3396 (2013; Zbl 1266.15020) Full Text: DOI
Kågström, Bo; Johansson, Stefan; Johansson, Pedher StratiGraph tool: matrix stratifications in control applications. (English) Zbl 1317.93005 Biegler, Lorenz T. (ed.) et al., Control and optimization with differential-algebraic constraints. Selected papers based on the presentations at the workshop, Banff, Canada, October 24–29, 2010. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-24-5/pbk). Advances in Design and Control 23, 79-103 (2012). MSC: 93-04 93B60 15A22 PDFBibTeX XMLCite \textit{B. Kågström} et al., Adv. Des. Control 23, 79--103 (2012; Zbl 1317.93005) Full Text: DOI
De Terán, Fernando; Dopico, Froilán M. The solution of the equation \(XA+AX^T=0\) and its application to the theory of orbits. (English) Zbl 1204.15022 Linear Algebra Appl. 434, No. 1, 44-67 (2011). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A21 15A09 PDFBibTeX XMLCite \textit{F. De Terán} and \textit{F. M. Dopico}, Linear Algebra Appl. 434, No. 1, 44--67 (2011; Zbl 1204.15022) Full Text: DOI
Elmroth, Erik; Johansson, Stefan; Kågström, Bo Stratification of controllability and observability pairs-theory and use in applications. (English) Zbl 1190.93008 SIAM J. Matrix Anal. Appl. 31, No. 2, 203-226 (2009). MSC: 93B05 15A21 15A22 65F15 93B07 34H05 PDFBibTeX XMLCite \textit{E. Elmroth} et al., SIAM J. Matrix Anal. Appl. 31, No. 2, 203--226 (2009; Zbl 1190.93008) Full Text: DOI
Chu, Delin; Golub, Gene H. On a generalized eigenvalue problem for nonsquare pencils. (English) Zbl 1128.15004 SIAM J. Matrix Anal. Appl. 28, No. 3, 770-787 (2006). Reviewer: Ludwig Elsner (Bielefeld) MSC: 15A18 93B60 15A22 PDFBibTeX XMLCite \textit{D. Chu} and \textit{G. H. Golub}, SIAM J. Matrix Anal. Appl. 28, No. 3, 770--787 (2006; Zbl 1128.15004) Full Text: DOI
Boutry, Gregory; Elad, Michael; Golub, Gene H.; Milanfar, Peyman The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach. (English) Zbl 1100.65035 SIAM J. Matrix Anal. Appl. 27, No. 2, 582-601 (2005). Reviewer: E. Kreyszig (Ottawa) MSC: 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{G. Boutry} et al., SIAM J. Matrix Anal. Appl. 27, No. 2, 582--601 (2005; Zbl 1100.65035) Full Text: DOI
Elmroth, Erik; Johansson, Pedher; Kågström, Bo Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures. (English) Zbl 1055.65060 Numer. Linear Algebra Appl. 8, No. 6-7, 381-399 (2001). MSC: 65G30 65Y15 15A21 15A22 65F15 68R10 68W30 PDFBibTeX XMLCite \textit{E. Elmroth} et al., Numer. Linear Algebra Appl. 8, No. 6--7, 381--399 (2001; Zbl 1055.65060) Full Text: DOI