Flake, Johannes; Fourier, Ghislain; Levandovskyy, Viktor Gröbner bases for fusion products. (English) Zbl 07768222 Algebr. Represent. Theory 26, No. 5, 2235-2253 (2023). Reviewer: Angelo Bianchi (São José dos Campos) MSC: 17B10 13D02 13D10 05E05 PDFBibTeX XMLCite \textit{J. Flake} et al., Algebr. Represent. Theory 26, No. 5, 2235--2253 (2023; Zbl 07768222) Full Text: DOI arXiv OA License
Levandovskyy, Viktor; Metzlaff, Tobias; Zeid, Karim Abou Computing free non-commutative Gröbner bases over \(\mathbb{Z}\) with Singular:Letterplace. (English) Zbl 1523.16055 J. Symb. Comput. 115, 201-222 (2023). Reviewer: Michela Ceria (Bari) MSC: 16Z05 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., J. Symb. Comput. 115, 201--222 (2023; Zbl 1523.16055) Full Text: DOI
Hauck, Michael; Orlik, Julia; Levandovskyy, Viktor; Lykhachova, Olga Symbolic homogenization and structure optimization for a periodically perforated cylindrical shell. (English) Zbl 07815155 ZAMM, Z. Angew. Math. Mech. 102, No. 1, Article ID e202100227, 45 p. (2022). MSC: 74Kxx 35Bxx 74-XX PDFBibTeX XMLCite \textit{M. Hauck} et al., ZAMM, Z. Angew. Math. Mech. 102, No. 1, Article ID e202100227, 45 p. (2022; Zbl 07815155) Full Text: DOI OA License
Hoffmann, Johannes; Levandovskyy, Viktor Constructive arithmetics in Ore localizations enjoying enough commutativity. (English) Zbl 1455.16014 J. Symb. Comput. 102, 209-230 (2021). MSC: 16L99 16U20 PDFBibTeX XMLCite \textit{J. Hoffmann} and \textit{V. Levandovskyy}, J. Symb. Comput. 102, 209--230 (2021; Zbl 1455.16014) Full Text: DOI arXiv
Levandovskyy, Viktor; Metzlaff, Tobias; Zeid, Karim Abou Computation of free non-commutative Gröbner bases over \(\mathbb{Z}\) with Singular:Letterplace. (English) Zbl 07300086 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 312-319 (2020). MSC: 68W30 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 312--319 (2020; Zbl 07300086) Full Text: DOI arXiv
Levandovskyy, Viktor; Schönemann, Hans; Zeid, Karim Abou Letterplace – a subsystem of Singular for computations with free algebras via letterplace embedding. (English) Zbl 1514.68327 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 305-311 (2020). MSC: 68W30 13-04 14-04 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 305--311 (2020; Zbl 1514.68327) Full Text: DOI
Schmitz, Leonard; Levandovskyy, Viktor Formally verifying proofs for algebraic identities of matrices. (English) Zbl 1455.68253 Benzmüller, Christoph (ed.) et al., Intelligent computer mathematics. 13th international conference, CICM 2020, Bertinoro, Italy, July 26–31, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12236, 222-236 (2020). MSC: 68V15 15A24 68W30 PDFBibTeX XMLCite \textit{L. Schmitz} and \textit{V. Levandovskyy}, Lect. Notes Comput. Sci. 12236, 222--236 (2020; Zbl 1455.68253) Full Text: DOI
Schilli, Christian; Zerz, Eva; Levandovskyy, Viktor Controlled and conditioned invariance for polynomial and rational feedback systems. (English) Zbl 1451.93127 Quadrat, Alban (ed.) et al., Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Cham: Springer. Adv. Delays Dyn. 9, 259-293 (2020). Reviewer: Kaïs Ammari (Monastir) MSC: 93B52 93B25 PDFBibTeX XMLCite \textit{C. Schilli} et al., Adv. Delays Dyn. 9, 259--293 (2020; Zbl 1451.93127) Full Text: DOI
Decker, Wolfram; Eder, Christian; Levandovskyy, Viktor; Tiwari, Sharwan K. Modular techniques for noncommutative Gröbner bases. (English) Zbl 1460.16053 Math. Comput. Sci. 14, No. 1, 19-33 (2020). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 16Z10 16-04 13P10 PDFBibTeX XMLCite \textit{W. Decker} et al., Math. Comput. Sci. 14, No. 1, 19--33 (2020; Zbl 1460.16053) Full Text: DOI arXiv
Bavula, V. V.; Levandovskyy, V. A remark on the Dixmier conjecture. (English) Zbl 1441.16027 Can. Math. Bull. 63, No. 1, 6-12 (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16S50 16W20 16S32 16W50 PDFBibTeX XMLCite \textit{V. V. Bavula} and \textit{V. Levandovskyy}, Can. Math. Bull. 63, No. 1, 6--12 (2020; Zbl 1441.16027) Full Text: DOI arXiv
Hoffmann, Johannes; Levandovskyy, Viktor Constructive arithmetics in Ore localizations of domains. (English) Zbl 1441.16029 J. Symb. Comput. 98, 23-46 (2020). MSC: 16S85 16D80 68W30 PDFBibTeX XMLCite \textit{J. Hoffmann} and \textit{V. Levandovskyy}, J. Symb. Comput. 98, 23--46 (2020; Zbl 1441.16029) Full Text: DOI arXiv
Eder, Christian; Levandovskyy, Viktor; Schanz, Julien; Schmidt, Simon; Steenpass, Andreas; Weber, Moritz Existence of quantum symmetries for graphs on up to seven vertices: a computer based approach. arXiv:1906.12097 Preprint, arXiv:1906.12097 [math.QA] (2019). BibTeX Cite \textit{C. Eder} et al., ``Existence of quantum symmetries for graphs on up to seven vertices: a computer based approach'', Preprint, arXiv:1906.12097 [math.QA] (2019) Full Text: arXiv OA License
Hoffmann, Johannes; Levandovskyy, Viktor Left saturation closure for Ore localizations. arXiv:1903.03172 Preprint, arXiv:1903.03172 [math.RA] (2019). MSC: 16U20 16Z05 BibTeX Cite \textit{J. Hoffmann} and \textit{V. Levandovskyy}, ``Left saturation closure for Ore localizations'', Preprint, arXiv:1903.03172 [math.RA] (2019) Full Text: arXiv OA License
Hoffmann, Johannes; Levandovskyy, Viktor Constructive arithmetics in Ore localizations with enough commutativity. (English) Zbl 1467.16038 Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 207-214 (2018). MSC: 16U20 16U80 16Z05 68W05 PDFBibTeX XMLCite \textit{J. Hoffmann} and \textit{V. Levandovskyy}, in: Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16--19, 2018. New York, NY: Association for Computing Machinery (ACM). 207--214 (2018; Zbl 1467.16038) Full Text: DOI
Levandovskyy, Viktor; Heinle, Albert A factorization algorithm for \(G\)-algebras and its applications. (English) Zbl 1387.13060 J. Symb. Comput. 85, 188-205 (2018). Reviewer: John Perry (Hattiesburg) MSC: 13P05 13P10 68W30 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{A. Heinle}, J. Symb. Comput. 85, 188--205 (2018; Zbl 1387.13060) Full Text: DOI
Hoffmann, Johannes; Levandovskyy, Viktor A constructive approach to arithmetics in Ore localizations. (English) Zbl 1459.16031 Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM). 197-204 (2017). MSC: 16S85 16D80 68W30 PDFBibTeX XMLCite \textit{J. Hoffmann} and \textit{V. Levandovskyy}, in: Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25--28, 2017. New York, NY: Association for Computing Machinery (ACM). 197--204 (2017; Zbl 1459.16031) Full Text: DOI
Heinle, Albert; Levandovskyy, Viktor Factorization of \( \mathbb {Z}\)-homogeneous polynomials in the first \(q\)-Weyl algebra. (English) Zbl 1400.16001 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 455-480 (2017). MSC: 16-04 68W30 16Z05 68-04 68W40 PDFBibTeX XMLCite \textit{A. Heinle} and \textit{V. Levandovskyy}, in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 455--480 (2017; Zbl 1400.16001) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Levandovskyy, Viktor Certifying solutions to square systems of polynomial-exponential equations. (English) Zbl 1357.14071 J. Symb. Comput. 79, Part 3, 575-593 (2017). Reviewer: Amir Hashemi (Isfahan) MSC: 14Q15 68W30 65H10 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{V. Levandovskyy}, J. Symb. Comput. 79, Part 3, 575--593 (2017; Zbl 1357.14071) Full Text: DOI arXiv
Bell, Jason P.; Heinle, Albert; Levandovskyy, Viktor On noncommutative finite factorization domains. (English) Zbl 1392.16033 Trans. Am. Math. Soc. 369, No. 4, 2675-2695 (2017). Reviewer: Pace Nielsen (Provo) MSC: 16U10 16U30 16W70 16U80 PDFBibTeX XMLCite \textit{J. P. Bell} et al., Trans. Am. Math. Soc. 369, No. 4, 2675--2695 (2017; Zbl 1392.16033) Full Text: DOI arXiv
Heinle, Albert; Levandovskyy, Viktor A factorization algorithm for \(G\)-algebras and applications. (English) Zbl 1362.13025 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 263-270 (2016). MSC: 13P05 13P10 68W30 PDFBibTeX XMLCite \textit{A. Heinle} and \textit{V. Levandovskyy}, in: Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20--22, 2016. New York, NY: Association for Computing Machinery (ACM). 263--270 (2016; Zbl 1362.13025) Full Text: DOI arXiv
Giesbrecht, Mark; Heinle, Albert; Levandovskyy, Viktor Factoring linear partial differential operators in \(n\) variables. (English) Zbl 1335.68302 J. Symb. Comput. 75, 127-148 (2016). MSC: 68W30 16S32 16Z05 35A30 PDFBibTeX XMLCite \textit{M. Giesbrecht} et al., J. Symb. Comput. 75, 127--148 (2016; Zbl 1335.68302) Full Text: DOI
Heinle, Albert; Levandovskyy, Viktor The SDEval benchmarking toolkit. (English) Zbl 1365.68493 ACM Commun. Comput. Algebra 49, No. 1, 1-9 (2015). MSC: 68W30 PDFBibTeX XMLCite \textit{A. Heinle} and \textit{V. Levandovskyy}, ACM Commun. Comput. Algebra 49, No. 1, 1--9 (2015; Zbl 1365.68493) Full Text: DOI
Ferčec, Brigita; Levandovskyy, Viktor; Romanovski, Valery G.; Shafer, Douglas S. Bifurcation of critical periods of polynomial systems. (English) Zbl 1337.34032 J. Differ. Equations 259, No. 8, 3825-3853 (2015). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C05 37C10 34C23 PDFBibTeX XMLCite \textit{B. Ferčec} et al., J. Differ. Equations 259, No. 8, 3825--3853 (2015; Zbl 1337.34032) Full Text: DOI
Giesbrecht, Mark; Heinle, Albert; Levandovskyy, Viktor Factoring linear differential operators in \(n\) variables. (English) Zbl 1325.68280 Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 194-201 (2014). MSC: 68W30 16S32 16Z05 PDFBibTeX XMLCite \textit{M. Giesbrecht} et al., in: Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23--25, 2014. New York, NY: Association for Computing Machinery (ACM). 194--201 (2014; Zbl 1325.68280) Full Text: DOI arXiv
Levandovskyy, Viktor; Shepler, Anne V. Corrigendum to example in “Quantum Drinfeld Hecke algebras”. (English) Zbl 1346.16025 Can. J. Math. 66, No. 4, 902 (2014). MSC: 16S36 16T20 20C08 16S80 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{A. V. Shepler}, Can. J. Math. 66, No. 4, 902 (2014; Zbl 1346.16025) Full Text: DOI
Levandovskyy, Viktor; Shepler, Anne V. Quantum Drinfeld Hecke algebras. (English) Zbl 1342.16024 Can. J. Math. 66, No. 4, 874-901 (2014); corrigendum 66, No. 4, 902 (2014). MSC: 16S36 16T20 20C08 16S80 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{A. V. Shepler}, Can. J. Math. 66, No. 4, 874--901 (2014; Zbl 1342.16024) Full Text: DOI arXiv
Levandovskyy, Viktor; Studzinski, Grischa; Schnitzler, Benjamin Enhanced computations of Gröbner bases in free algebras as a new application of the letterplace paradigm. (English) Zbl 1360.68942 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 259-266 (2013). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 259--266 (2013; Zbl 1360.68942) Full Text: DOI
La Scala, Roberto; Levandovskyy, Viktor Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra. (English) Zbl 1272.16026 J. Symb. Comput. 48, 110-131 (2013). Reviewer: Leonid A. Bokut’ (Novosibirsk) MSC: 16S10 16Z05 13P10 16D25 16S36 16W50 68W30 PDFBibTeX XMLCite \textit{R. La Scala} and \textit{V. Levandovskyy}, J. Symb. Comput. 48, 110--131 (2013; Zbl 1272.16026) Full Text: DOI arXiv
Levandovskyy, Viktor Elements of computer-algebraic analysis. (English) Zbl 1308.68178 van der Hoeven, Joris (ed.) et al., Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22–25, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1269-1). 9-10 (2012). MSC: 68W30 13P10 39B72 PDFBibTeX XMLCite \textit{V. Levandovskyy}, in: Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22--25, 2012. New York, NY: Association for Computing Machinery (ACM). 9--10 (2012; Zbl 1308.68178) Full Text: DOI
Levandovskyy, Viktor; Pfister, Gerhard; Romanovski, Valery G. Evaluating cyclicity of cubic systems with algorithms of computational algebra. (English) Zbl 1280.34038 Commun. Pure Appl. Anal. 11, No. 5, 2023-2035 (2012). Reviewer: Liqin Zhao (Beijing) MSC: 34C07 34C23 34C05 34C14 34-04 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., Commun. Pure Appl. Anal. 11, No. 5, 2023--2035 (2012; Zbl 1280.34038) Full Text: DOI
Levandovskyy, Viktor; Martin, Bernd A symbolic approach to generation and analysis of finite difference schemes of partial differential equations. (English) Zbl 1250.65109 Langer, Ulrich (ed.) et al., Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer (ISBN 978-3-7091-0793-5/pbk; 978-3-7091-0794-2/ebook). Texts & Monographs in Symbolic Computation, 123-156 (2012). MSC: 65M06 65M12 35L05 65Y15 68W30 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{B. Martin}, in: Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer. 123--156 (2012; Zbl 1250.65109) Full Text: DOI arXiv
Levandovskyy, V.; Martín-Morales, J. Algorithms for checking rational roots of \(b\)-functions and their applications. (English) Zbl 1276.32010 J. Algebra 352, No. 1, 408-429 (2012). MSC: 32C38 14F10 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{J. Martín-Morales}, J. Algebra 352, No. 1, 408--429 (2012; Zbl 1276.32010) Full Text: DOI
Levandovskyy, Viktor; Schindelar, Kristina Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases. (English) Zbl 1245.65051 J. Symb. Comput. 47, No. 10, 1214-1232 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 68W30 13P10 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{K. Schindelar}, J. Symb. Comput. 47, No. 10, 1214--1232 (2012; Zbl 1245.65051) Full Text: DOI arXiv
Levandovskyy, Viktor (ed.); Pagon, Dušan (ed.); Petkovšek, Marko (ed.); Romanovski, Valery (ed.) Special issue: Symbolic computation and its applications. Selected papers based on the presentations at the conference on symbolic computation and its applications (SCA 2010), Maribor, Slovenia, June 30–July 2, 2010. (English) Zbl 1246.68047 J. Symb. Comput. 47, No. 10, 1154-1308 (2012). MSC: 68-06 68W30 13P10 00B25 PDFBibTeX XML
Levandovskyy, Viktor; Zerz, Eva; Schindelar, Kristina Exact linear modeling using Ore algebras. (English) Zbl 1237.93041 J. Symb. Comput. 46, No. 11, 1189-1204 (2011). MSC: 93B25 13P10 16Z05 68W30 93A30 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., J. Symb. Comput. 46, No. 11, 1189--1204 (2011; Zbl 1237.93041) Full Text: DOI arXiv
Levandovskyy, Viktor; Koutschan, Christoph; Motsak, Oleksandr On two-generated non-commutative algebras subject to the affine relation. (English) Zbl 1308.16039 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 13th international workshop, CASC 2011, Kassel, Germany, September 5–9, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-23567-2/pbk). Lecture Notes in Computer Science 6885, 309-320 (2011). MSC: 16Z05 16S15 68W30 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., Lect. Notes Comput. Sci. 6885, 309--320 (2011; Zbl 1308.16039) Full Text: DOI arXiv
Levandovskyy, Viktor; Schindelar, Kristina Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases. (English) Zbl 1210.13029 J. Symb. Comput. 46, No. 5, 595-608 (2011). MSC: 13P10 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{K. Schindelar}, J. Symb. Comput. 46, No. 5, 595--608 (2011; Zbl 1210.13029) Full Text: DOI arXiv
Zerz, Eva; Levandovskyy, Viktor; Schindelar, Kristina Exact linear modeling with polynomial coefficients. (English) Zbl 1211.35086 Multidimensional Syst. Signal Process. 22, No. 1-3, 55-65 (2011). MSC: 35G35 13P10 16S32 PDFBibTeX XMLCite \textit{E. Zerz} et al., Multidimensional Syst. Signal Process. 22, No. 1--3, 55--65 (2011; Zbl 1211.35086) Full Text: DOI
Levandovskyy, Viktor Non-commutative subsystems of Singular. (English) Zbl 1305.68363 ACM Commun. Comput. Algebra 44, No. 4, 125-126 (2010). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{V. Levandovskyy}, ACM Commun. Comput. Algebra 44, No. 3, 125--126 (2010; Zbl 1305.68363) Full Text: DOI
Heinle, Albert; Levandovskyy, Viktor Factorization of polynomials in \(\mathbb Z\)-graded skew polynomial rings. (English) Zbl 1305.68356 ACM Commun. Comput. Algebra 44, No. 4, 113-114 (2010). MSC: 68W30 13P05 PDFBibTeX XMLCite \textit{A. Heinle} and \textit{V. Levandovskyy}, ACM Commun. Comput. Algebra 44, No. 3, 113--114 (2010; Zbl 1305.68356) Full Text: DOI
Andres, Daniel; Brickenstein, Michael; Levandovskyy, Viktor; Martín-Morales, Jorge; Schönemann, Hans Constructive \(D\)-module theory with Singular. (English) Zbl 1217.13011 Math. Comput. Sci. 4, No. 2-3, 359-383 (2010). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13P10 14F10 68W30 32C38 PDFBibTeX XMLCite \textit{D. Andres} et al., Math. Comput. Sci. 4, No. 2--3, 359--383 (2010; Zbl 1217.13011) Full Text: DOI
Andres, Daniel; Levandovskyy, Viktor; Morales, Jorge Martín Principal intersection and Bernstein-Sato polynomial of an affine variety. (English) Zbl 1237.14004 May, John P. (ed.), ISSAC 2009. Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, Seoul, July 28–31, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-609-0). 231-238 (2009). MSC: 14-04 14F10 14R99 68W30 PDFBibTeX XMLCite \textit{D. Andres} et al., in: Proceedings of the 2009 international symposium on symbolic and algebraic computation, ISSAC 2009, Seoul, July 28--31, 2009. New York, NY: Association for Computing Machinery (ACM). 231--238 (2009; Zbl 1237.14004) Full Text: DOI arXiv
Levandovskyy, Viktor; Logar, Alessandro; Romanovski, Valery G. The cyclicity of a cubic system. (English) Zbl 1207.37039 Open Syst. Inf. Dyn. 16, No. 4, 429-439 (2009). Reviewer: M. A. M. Alwash (Culver City) MSC: 37G15 34C07 34C25 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., Open Syst. Inf. Dyn. 16, No. 4, 429--439 (2009; Zbl 1207.37039) Full Text: DOI
La Scala, Roberto; Levandovskyy, Viktor Letterplace ideals and non-commutative Gröbner bases. (English) Zbl 1186.16014 J. Symb. Comput. 44, No. 10, 1374-1393 (2009). Reviewer: Chen Yuqun (Guangzhou) MSC: 16S15 13P10 16Z05 PDFBibTeX XMLCite \textit{R. La Scala} and \textit{V. Levandovskyy}, J. Symb. Comput. 44, No. 10, 1374--1393 (2009; Zbl 1186.16014) Full Text: DOI
Levandovskyy, Viktor; Romanovski, Valery G.; Shafer, Douglas S. The cyclicity of a cubic system with nonradical Bautin ideal. (English) Zbl 1163.34019 J. Differ. Equations 246, No. 3, 1274-1287 (2009). Reviewer: Jaume Giné (Lleida) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., J. Differ. Equations 246, No. 3, 1274--1287 (2009; Zbl 1163.34019) Full Text: DOI
Levandovskyy, Viktor; Morales, Jorge Martin Computational \(D\)-module theory with singular, comparison with other systems and two new algorithms. (English) Zbl 1489.14003 Jeffrey, David J. (ed.), Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20–23, 2008. New York, NY: Association for Computing Machinery (ACM). 173-180 (2008). MSC: 14-04 14Q15 68W30 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{J. M. Morales}, in: Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20--23, 2008. New York, NY: Association for Computing Machinery (ACM). 173--180 (2008; Zbl 1489.14003) Full Text: DOI
Koutschan, Christoph; Levandovskyy, Viktor Computing one of Victor Moll’s irresistible integrals with computer algebra. (English) Zbl 1156.68630 Comput. Sci. J. Mold. 16, No. 1(46), 35-49 (2008). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{C. Koutschan} and \textit{V. Levandovskyy}, Comput. Sci. J. Mold. 16, No. 1(46), 35--49 (2008; Zbl 1156.68630)
Levandovskyy, Viktor; Zerz, Eva Obstructions to genericity in study of parametric problems in control theory. (English) Zbl 1202.13015 Park, Hyungju (ed.) et al., Gröbner bases in control theory and signal processing. Papers presented at the D3 workshop, Linz, Austria, May 18–19, 2006. Berlin: Walter de Gruyter (ISBN 978-3-11-019333-6/hbk). Radon Series on Computational and Applied Mathematics 3, 127-149 (2007). Reviewer: Junaid Alam Khan (Lahore) MSC: 13P10 93B25 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{E. Zerz}, Radon Ser. Comput. Appl. Math. 3, 127--149 (2007; Zbl 1202.13015) Full Text: arXiv
Levandovskyy, Viktor Intersection of ideals with non-commutative subalgebras. (English) Zbl 1356.16046 Dumas, Jean-Guillaume (ed.), Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9–12, 2006. New York, NY: ACM Press (ISBN 1-59593-276-3). 212-219 (2006). MSC: 16Z05 13P10 16D25 68W30 PDFBibTeX XMLCite \textit{V. Levandovskyy}, in: Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9--12, 2006. New York, NY: ACM Press. 212--219 (2006; Zbl 1356.16046) Full Text: DOI
Levandovskyy, Viktor Plural, a non-commutative extension of Singular: past, present and future. (English) Zbl 1229.16001 Iglesias, Andrés (ed.) et al., Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38084-9/pbk). Lecture Notes in Computer Science 4151, 144-157 (2006). MSC: 16-04 16Z05 17-08 68W30 17B10 17B37 PDFBibTeX XMLCite \textit{V. Levandovskyy}, Lect. Notes Comput. Sci. 4151, 144--157 (2006; Zbl 1229.16001) Full Text: DOI
Zerz, Eva; Levandovskyy, Viktor Computer algebraic methods for the structural analysis of linear control systems. (Computer algebraic methods for the structural analysis of linear controlsystems.) (German) Zbl 1391.93003 PAMM, Proc. Appl. Math. Mech. 5, 717-718 (2005). MSC: 93-04 68W30 PDFBibTeX XMLCite \textit{E. Zerz} and \textit{V. Levandovskyy}, PAMM, Proc. Appl. Math. Mech. 5, 717--718 (2005; Zbl 1391.93003) Full Text: DOI
Levandovskyy, Viktor On preimages of ideals in certain non-commutative algebras. (English) Zbl 1101.13307 Cojocaru, Svetlana (ed.) et al., Computational commutative and non-commutative algebraic geometry. Proceedings of the NATO Advanced Research Workshop, Chisinau, Republic of Moldova, June 6–11, 2004. Amsterdam: IOS Press (ISBN 1-58603-505-3/hbk). NATO Science Series III: Computer & Systems Sciences 196, 44-62 (2005). MSC: 13P10 16D80 PDFBibTeX XMLCite \textit{V. Levandovskyy}, NATO Sci. Ser. III, Comput. Syst. Sci. 196, 44--62 (2005; Zbl 1101.13307)
Levandovskyy, Viktor PBW bases, non-degeneracy conditions and applications. (English) Zbl 1094.16030 Buchweitz, Ragnar-Olaf (ed.) et al., Representations of algebras and related topics. Proceedings from the 10th international conference, ICRA X, Toronto, Canada, July 15–August 10, 2002. Dedicated to V. Dlab on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3415-0/hbk). Fields Institute Communications 45, 229-246 (2005). Reviewer: F. J. Lobillo (Granada) MSC: 16Z05 68W30 16S37 16S15 16W70 13P10 16W35 PDFBibTeX XMLCite \textit{V. Levandovskyy}, Fields Inst. Commun. 45, 229--246 (2005; Zbl 1094.16030)
Levandovskyy, Viktor; Schönemann, Hans Plural – a computer algebra system for noncommutative polynomial algebras. (English) Zbl 1072.68681 Sendra, J. Rafael (ed.), ISSAC 2003. Proceedings of the 2003 international symposium on symbolic and algebraic computation, Philadelphia, PA, USA, August 3–6, 2003. New York, NY: ACM Press (ISBN 1-58113-641-2/pbk). 176-183 (2003). MSC: 68W30 13P05 13P10 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{H. Schönemann}, in: Proceedings of the 2003 international symposium on symbolic and algebraic computation, ISSAC 2003, Philadelphia, PA, USA, August 3--6, 2003. New York, NY: ACM Press. 176--183 (2003; Zbl 1072.68681)