Edit Profile (opens in new tab) Levandovskyy, Viktor Compute Distance To: Compute Author ID: levandovskyy.viktor Published as: Levandovskyy, Viktor; Levandovskyy, V. Documents Indexed: 49 Publications since 2003 1 Contribution as Editor Co-Authors: 32 Co-Authors with 44 Joint Publications 630 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 Heinle, Albert 5 Romanovskiĭ, Valeriĭ Georgievich 5 Zerz, Eva 4 Hoffmann, Johannes 4 Martín-Morales, Jorge 4 Schindelar, Kristina 3 Schönemann, Hans 3 Zeid, Karim Abou 2 Andres, Daniel 2 Giesbrecht, Mark W. 2 Koutschan, Christoph 2 La Scala, Roberto 2 Metzlaff, Tobias 2 Shafer, Douglas S. 2 Shepler, Anne V. 1 Bavula, Vladimir V. 1 Bell, Jason P. 1 Brickenstein, Michael 1 Decker, Wolfram 1 Eder, Christian 1 Ferčec, Brigita 1 Hauenstein, Jonathan D. 1 Logar, Alessandro 1 Martin, Bernd 1 Motsak, Oleksandr 1 Petkovšek, Marko 1 Pfister, Gerhard 1 Schilli, Christian 1 Schmitz, Leonard 1 Schnitzler, Benjamin 1 Studzinski, Grischa 1 Tiwari, Sharwan Kumar all top 5 Serials 12 Journal of Symbolic Computation 3 ACM Communications in Computer Algebra 2 Canadian Journal of Mathematics 2 Journal of Differential Equations 2 Mathematics in Computer Science 1 Canadian Mathematical Bulletin 1 Journal of Algebra 1 Transactions of the American Mathematical Society 1 Multidimensional Systems and Signal Processing 1 Computer Science Journal of Moldova 1 Open Systems & Information Dynamics 1 Communications on Pure and Applied Analysis 1 PAMM. Proceedings in Applied Mathematics and Mechanics all top 5 Fields 33 Computer science (68-XX) 22 Commutative algebra (13-XX) 22 Associative rings and algebras (16-XX) 5 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 4 Systems theory; control (93-XX) 3 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 192 times in 123 Documents Cited by ▼ Year ▼ Plural – a computer algebra system for noncommutative polynomial algebras. Zbl 1072.68681Levandovskyy, Viktor; Schönemann, Hans 16 2003 Letterplace ideals and non-commutative Gröbner bases. Zbl 1186.16014La Scala, Roberto; Levandovskyy, Viktor 15 2009 Bifurcation of critical periods of polynomial systems. Zbl 1337.34032Ferčec, Brigita; Levandovskyy, Viktor; Romanovski, Valery G.; Shafer, Douglas S. 13 2015 On noncommutative finite factorization domains. Zbl 1392.16033Bell, Jason P.; Heinle, Albert; Levandovskyy, Viktor 12 2017 PBW bases, non-degeneracy conditions and applications. Zbl 1094.16030Levandovskyy, Viktor 11 2005 Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra. Zbl 1272.16026La Scala, Roberto; Levandovskyy, Viktor 11 2013 Evaluating cyclicity of cubic systems with algorithms of computational algebra. Zbl 1280.34038Levandovskyy, Viktor; Pfister, Gerhard; Romanovski, Valery G. 8 2012 The cyclicity of a cubic system. Zbl 1207.37039Levandovskyy, Viktor; Logar, Alessandro; Romanovski, Valery G. 8 2009 Algorithms for checking rational roots of \(b\)-functions and their applications. Zbl 1276.32010Levandovskyy, V.; Martín-Morales, J. 7 2012 Quantum Drinfeld Hecke algebras. Zbl 1342.16024Levandovskyy, Viktor; Shepler, Anne V. 7 2014 Exact linear modeling with polynomial coefficients. Zbl 1211.35086Zerz, Eva; Levandovskyy, Viktor; Schindelar, Kristina 6 2011 Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases. Zbl 1210.13029Levandovskyy, Viktor; Schindelar, Kristina 6 2011 The cyclicity of a cubic system with nonradical Bautin ideal. Zbl 1163.34019Levandovskyy, Viktor; Romanovski, Valery G.; Shafer, Douglas S. 6 2009 Constructive \(D\)-module theory with Singular. Zbl 1217.13011Andres, Daniel; Brickenstein, Michael; Levandovskyy, Viktor; Martín-Morales, Jorge; Schönemann, Hans 5 2010 The SDEval benchmarking toolkit. Zbl 1365.68493Heinle, Albert; Levandovskyy, Viktor 5 2015 Principal intersection and Bernstein-Sato polynomial of an affine variety. Zbl 1237.14004Andres, Daniel; Levandovskyy, Viktor; Morales, Jorge Martín 4 2009 On preimages of ideals in certain non-commutative algebras. Zbl 1101.13307Levandovskyy, Viktor 4 2005 Plural, a non-commutative extension of Singular: past, present and future. Zbl 1229.16001Levandovskyy, Viktor 4 2006 Factoring linear partial differential operators in \(n\) variables. Zbl 1335.68302Giesbrecht, Mark; Heinle, Albert; Levandovskyy, Viktor 4 2016 Computing one of Victor Moll’s irresistible integrals with computer algebra. Zbl 1156.68630Koutschan, Christoph; Levandovskyy, Viktor 3 2008 Factoring linear differential operators in \(n\) variables. Zbl 1325.68280Giesbrecht, Mark; Heinle, Albert; Levandovskyy, Viktor 3 2014 Letterplace – a subsystem of Singular for computations with free algebras via letterplace embedding. Zbl 07300085Levandovskyy, Viktor; Schönemann, Hans; Zeid, Karim Abou 3 2020 Formally verifying proofs for algebraic identities of matrices. Zbl 1455.68253Schmitz, Leonard; Levandovskyy, Viktor 3 2020 Obstructions to genericity in study of parametric problems in control theory. Zbl 1202.13015Levandovskyy, Viktor; Zerz, Eva 3 2007 Intersection of ideals with non-commutative subalgebras. Zbl 1356.16046Levandovskyy, Viktor 3 2006 Exact linear modeling using Ore algebras. Zbl 1237.93041Levandovskyy, Viktor; Zerz, Eva; Schindelar, Kristina 2 2011 Computer algebraic methods for the structural analysis of linear control systems. (Computer algebraic methods for the structural analysis of linear controlsystems.) Zbl 1391.93003Zerz, Eva; Levandovskyy, Viktor 2 2005 A symbolic approach to generation and analysis of finite difference schemes of partial differential equations. Zbl 1250.65109Levandovskyy, Viktor; Martin, Bernd 2 2012 Constructive arithmetics in Ore localizations enjoying enough commutativity. Zbl 1455.16014Hoffmann, Johannes; Levandovskyy, Viktor 2 2021 Constructive arithmetics in Ore localizations of domains. Zbl 1441.16029Hoffmann, Johannes; Levandovskyy, Viktor 2 2020 A factorization algorithm for \(G\)-algebras and its applications. Zbl 1387.13060Levandovskyy, Viktor; Heinle, Albert 2 2018 Certifying solutions to square systems of polynomial-exponential equations. Zbl 1357.14071Hauenstein, Jonathan D.; Levandovskyy, Viktor 2 2017 A factorization algorithm for \(G\)-algebras and applications. Zbl 1362.13025Heinle, Albert; Levandovskyy, Viktor 2 2016 Factorization of \( \mathbb {Z}\)-homogeneous polynomials in the first \(q\)-Weyl algebra. Zbl 1400.16001Heinle, Albert; Levandovskyy, Viktor 2 2017 Factorization of polynomials in \(\mathbb Z\)-graded skew polynomial rings. Zbl 1305.68356Heinle, Albert; Levandovskyy, Viktor 1 2010 Modular techniques for noncommutative Gröbner bases. Zbl 1460.16053Decker, Wolfram; Eder, Christian; Levandovskyy, Viktor; Tiwari, Sharwan K. 1 2020 Computation of free non-commutative Gröbner bases over \(\mathbb{Z}\) with Singular:Letterplace. Zbl 07300086Levandovskyy, Viktor; Metzlaff, Tobias; Zeid, Karim Abou 1 2020 Enhanced computations of Gröbner bases in free algebras as a new application of the letterplace paradigm. Zbl 1360.68942Levandovskyy, Viktor; Studzinski, Grischa; Schnitzler, Benjamin 1 2013 Constructive arithmetics in Ore localizations enjoying enough commutativity. Zbl 1455.16014Hoffmann, Johannes; Levandovskyy, Viktor 2 2021 Letterplace – a subsystem of Singular for computations with free algebras via letterplace embedding. Zbl 07300085Levandovskyy, Viktor; Schönemann, Hans; Zeid, Karim Abou 3 2020 Formally verifying proofs for algebraic identities of matrices. Zbl 1455.68253Schmitz, Leonard; Levandovskyy, Viktor 3 2020 Constructive arithmetics in Ore localizations of domains. Zbl 1441.16029Hoffmann, Johannes; Levandovskyy, Viktor 2 2020 Modular techniques for noncommutative Gröbner bases. Zbl 1460.16053Decker, Wolfram; Eder, Christian; Levandovskyy, Viktor; Tiwari, Sharwan K. 1 2020 Computation of free non-commutative Gröbner bases over \(\mathbb{Z}\) with Singular:Letterplace. Zbl 07300086Levandovskyy, Viktor; Metzlaff, Tobias; Zeid, Karim Abou 1 2020 A factorization algorithm for \(G\)-algebras and its applications. Zbl 1387.13060Levandovskyy, Viktor; Heinle, Albert 2 2018 On noncommutative finite factorization domains. Zbl 1392.16033Bell, Jason P.; Heinle, Albert; Levandovskyy, Viktor 12 2017 Certifying solutions to square systems of polynomial-exponential equations. Zbl 1357.14071Hauenstein, Jonathan D.; Levandovskyy, Viktor 2 2017 Factorization of \( \mathbb {Z}\)-homogeneous polynomials in the first \(q\)-Weyl algebra. Zbl 1400.16001Heinle, Albert; Levandovskyy, Viktor 2 2017 Factoring linear partial differential operators in \(n\) variables. Zbl 1335.68302Giesbrecht, Mark; Heinle, Albert; Levandovskyy, Viktor 4 2016 A factorization algorithm for \(G\)-algebras and applications. Zbl 1362.13025Heinle, Albert; Levandovskyy, Viktor 2 2016 Bifurcation of critical periods of polynomial systems. Zbl 1337.34032Ferčec, Brigita; Levandovskyy, Viktor; Romanovski, Valery G.; Shafer, Douglas S. 13 2015 The SDEval benchmarking toolkit. Zbl 1365.68493Heinle, Albert; Levandovskyy, Viktor 5 2015 Quantum Drinfeld Hecke algebras. Zbl 1342.16024Levandovskyy, Viktor; Shepler, Anne V. 7 2014 Factoring linear differential operators in \(n\) variables. Zbl 1325.68280Giesbrecht, Mark; Heinle, Albert; Levandovskyy, Viktor 3 2014 Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra. Zbl 1272.16026La Scala, Roberto; Levandovskyy, Viktor 11 2013 Enhanced computations of Gröbner bases in free algebras as a new application of the letterplace paradigm. Zbl 1360.68942Levandovskyy, Viktor; Studzinski, Grischa; Schnitzler, Benjamin 1 2013 Evaluating cyclicity of cubic systems with algorithms of computational algebra. Zbl 1280.34038Levandovskyy, Viktor; Pfister, Gerhard; Romanovski, Valery G. 8 2012 Algorithms for checking rational roots of \(b\)-functions and their applications. Zbl 1276.32010Levandovskyy, V.; Martín-Morales, J. 7 2012 A symbolic approach to generation and analysis of finite difference schemes of partial differential equations. Zbl 1250.65109Levandovskyy, Viktor; Martin, Bernd 2 2012 Exact linear modeling with polynomial coefficients. Zbl 1211.35086Zerz, Eva; Levandovskyy, Viktor; Schindelar, Kristina 6 2011 Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases. Zbl 1210.13029Levandovskyy, Viktor; Schindelar, Kristina 6 2011 Exact linear modeling using Ore algebras. Zbl 1237.93041Levandovskyy, Viktor; Zerz, Eva; Schindelar, Kristina 2 2011 Constructive \(D\)-module theory with Singular. Zbl 1217.13011Andres, Daniel; Brickenstein, Michael; Levandovskyy, Viktor; Martín-Morales, Jorge; Schönemann, Hans 5 2010 Factorization of polynomials in \(\mathbb Z\)-graded skew polynomial rings. Zbl 1305.68356Heinle, Albert; Levandovskyy, Viktor 1 2010 Letterplace ideals and non-commutative Gröbner bases. Zbl 1186.16014La Scala, Roberto; Levandovskyy, Viktor 15 2009 The cyclicity of a cubic system. Zbl 1207.37039Levandovskyy, Viktor; Logar, Alessandro; Romanovski, Valery G. 8 2009 The cyclicity of a cubic system with nonradical Bautin ideal. Zbl 1163.34019Levandovskyy, Viktor; Romanovski, Valery G.; Shafer, Douglas S. 6 2009 Principal intersection and Bernstein-Sato polynomial of an affine variety. Zbl 1237.14004Andres, Daniel; Levandovskyy, Viktor; Morales, Jorge Martín 4 2009 Computing one of Victor Moll’s irresistible integrals with computer algebra. Zbl 1156.68630Koutschan, Christoph; Levandovskyy, Viktor 3 2008 Obstructions to genericity in study of parametric problems in control theory. Zbl 1202.13015Levandovskyy, Viktor; Zerz, Eva 3 2007 Plural, a non-commutative extension of Singular: past, present and future. Zbl 1229.16001Levandovskyy, Viktor 4 2006 Intersection of ideals with non-commutative subalgebras. Zbl 1356.16046Levandovskyy, Viktor 3 2006 PBW bases, non-degeneracy conditions and applications. Zbl 1094.16030Levandovskyy, Viktor 11 2005 On preimages of ideals in certain non-commutative algebras. Zbl 1101.13307Levandovskyy, Viktor 4 2005 Computer algebraic methods for the structural analysis of linear control systems. (Computer algebraic methods for the structural analysis of linear controlsystems.) Zbl 1391.93003Zerz, Eva; Levandovskyy, Viktor 2 2005 Plural – a computer algebra system for noncommutative polynomial algebras. Zbl 1072.68681Levandovskyy, Viktor; Schönemann, Hans 16 2003 all cited Publications top 5 cited Publications all top 5 Cited by 179 Authors 18 Levandovskyy, Viktor 7 García, Isaac A. 7 La Scala, Roberto 5 Ferčec, Brigita 5 Heinle, Albert 5 Romanovskiĭ, Valeriĭ Georgievich 5 Schindelar, Kristina 5 Shafer, Douglas S. 4 Ceria, Michela 4 Maza, Susanna 4 Mora, Teo 4 Quadrat, Alban 4 Zerz, Eva 3 Cluzeau, Thomas 3 Hofstadler, Clemens 3 Llibre, Jaume 3 Moll, Victor Hugo 3 Regensburger, Georg 3 Seiler, Werner M. 3 Witherspoon, Sarah J. 2 Amdeberhan, Tewodros 2 Blanco, Guillem 2 Giesbrecht, Mark W. 2 Han, Maoan 2 Heaton, Alexander 2 Hoffmann, Johannes 2 Karampetakis, Nicholas P. 2 Khan, Junaid Alam 2 Martín-Morales, Jorge 2 Mencinger, Matej 2 Minimair, Manfred 2 Moysis, Lazaros 2 Nabeshima, Katsusuke 2 Raab, Clemens G. 2 Robertz, Daniel 2 Shepler, Anne V. 2 Tajima, Shinichi 2 Tiwari, Sharwan Kumar 2 Wang, Zhaoxia 1 Abebaw, Tilahun 1 Abramov, Sergeĭ Aleksandrovich 1 Àlvarez Montaner, Josep 1 Andres, Daniel 1 Artal Bartolo, Enrique 1 Aschenbrenner, Matthias 1 Atikaw, Sebsibew 1 Baeth, Nicholas R. 1 Barkatou, Moulay A. 1 Bavula, Vladimir V. 1 Bell, Jason P. 1 Binyamin, Muhammad Ahsan 1 Bitoun, Thomas 1 Bogner, Christian 1 Bøgvad, Rikard 1 Bokut, Leonid A. 1 Boudellioua, Mohamed Salah 1 Brickenstein, Michael 1 Bridge, James P. 1 Bringmann, Kathrin 1 Briskin, Miriam 1 Cameron, Peter Jephson 1 Cen, Xiuli 1 Chen, Xingwu 1 Chen, Yuqun 1 Chrapary, Hagen 1 Cid-Ruiz, Yairon 1 Cvetković-Ilić, Dragana S. 1 Davenport, James Harold 1 Decker, Wolfram 1 Eder, Christian 1 England, Matthew 1 Fernandes, Wilker 1 Fløystad, Gunnar 1 Fryer, Siân 1 García García, Juan Ignacio 1 García Miranda, Jesus 1 García Román, Manuel 1 García Román, Socorro 1 Gerdt, Vladimir Petrovich 1 Geroldinger, Alfred 1 González, Iván 1 Gotti, Felix 1 Gräbe, Hans-Gert 1 Greve, Bjørn Møller 1 Grimley, Lauren 1 Grosdos, Alexandros 1 Gu, Zhenghui 1 Haraldson, Joseph 1 Hauenstein, Jonathan D. 1 He, Lin 1 Helton, John William 1 Herzog, Jürgen 1 Hill, David C. 1 Homs Pons, Roser 1 Hossein Poor, Jamal 1 Huang, Bo 1 Huang, Hau-wen 1 Huang, Zongyan 1 Hubert, Evelyne 1 Iyudu, Natalia K. ...and 79 more Authors all top 5 Cited in 46 Serials 24 Journal of Symbolic Computation 8 Journal of Algebra 8 Journal of Differential Equations 6 Mathematics in Computer Science 4 Applied Mathematics and Computation 4 Journal of Pure and Applied Algebra 4 Multidimensional Systems and Signal Processing 4 Applicable Algebra in Engineering, Communication and Computing 3 Communications in Algebra 3 Advances in Mathematics 3 Linear Algebra and its Applications 2 Mathematics of Computation 2 Advances in Applied Mathematics 2 The Ramanujan Journal 2 Algebras and Representation Theory 2 Foundations of Computational Mathematics 2 ACM Communications in Computer Algebra 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Nonlinearity 1 Colloquium Mathematicum 1 Mathematics and Computers in Simulation 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 International Journal of Algebra and Computation 1 Kyushu Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 ELA. The Electronic Journal of Linear Algebra 1 Nonlinear Dynamics 1 Open Systems & Information Dynamics 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 Journal of Singularities 1 Symmetry 1 Bulletin of Mathematical Sciences 1 The Journal of Software for Algebra and Geometry 1 Journal of Applied Analysis and Computation 1 European Journal of Mathematics 1 Open Mathematics all top 5 Cited in 33 Fields 46 Commutative algebra (13-XX) 44 Associative rings and algebras (16-XX) 32 Computer science (68-XX) 25 Ordinary differential equations (34-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 Algebraic geometry (14-XX) 12 Systems theory; control (93-XX) 10 Group theory and generalizations (20-XX) 9 Nonassociative rings and algebras (17-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Special functions (33-XX) 5 Partial differential equations (35-XX) 4 Combinatorics (05-XX) 4 Field theory and polynomials (12-XX) 4 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Operator theory (47-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year