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Viktor Levandovskyy
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Journal Articles
- 2023
- [j22]Viktor Levandovskyy, Tobias Metzlaff, Karim Abou Zeid:
Computing free non-commutative Gröbner bases over Z with Singular: Letterplace. J. Symb. Comput. 115: 201-222 (2023) - 2021
- [j21]Johannes Hoffmann, Viktor Levandovskyy:
Constructive arithmetics in Ore localizations enjoying enough commutativity. J. Symb. Comput. 102: 209-230 (2021) - 2020
- [j20]Johannes Hoffmann, Viktor Levandovskyy:
Constructive arithmetics in Ore localizations of domains. J. Symb. Comput. 98: 23-46 (2020) - [j19]Wolfram Decker, Christian Eder, Viktor Levandovskyy, Sharwan K. Tiwari:
Modular Techniques for Noncommutative Gröbner Bases. Math. Comput. Sci. 14(1): 19-33 (2020) - 2018
- [j18]Viktor Levandovskyy, Albert Heinle:
A factorization algorithm for G-algebras and its applications. J. Symb. Comput. 85: 188-205 (2018) - 2016
- [j17]Mark Giesbrecht, Albert Heinle, Viktor Levandovskyy:
Factoring linear partial differential operators in n variables. J. Symb. Comput. 75: 127-148 (2016) - 2015
- [j16]Albert Heinle, Viktor Levandovskyy:
The SDEval benchmarking toolkit. ACM Commun. Comput. Algebra 49(1): 1-9 (2015) - [j15]Mark Giesbrecht, Albert Heinle, Viktor Levandovskyy:
On factoring differential and difference operators in n variables. ACM Commun. Comput. Algebra 49(1): 33 (2015) - 2013
- [j14]Roberto La Scala, Viktor Levandovskyy:
Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra. J. Symb. Comput. 48: 110-131 (2013) - 2012
- [j13]Viktor Levandovskyy, Dusan Pagon, Marko Petkovsek, Valery G. Romanovski:
Foreword from the Editors. J. Symb. Comput. 47(10): 1137-1139 (2012) - [j12]Viktor Levandovskyy, Kristina Schindelar:
Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases. J. Symb. Comput. 47(10): 1214-1232 (2012) - 2011
- [j11]Viktor Levandovskyy, Kristina Schindelar:
Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases. J. Symb. Comput. 46(5): 595-608 (2011) - [j10]Viktor Levandovskyy, Eva Zerz, Kristina Schindelar:
Exact linear modeling using Ore algebras. J. Symb. Comput. 46(11): 1189-1204 (2011) - [j9]Eva Zerz, Viktor Levandovskyy, Kristina Schindelar:
Exact linear modeling with polynomial coefficients. Multidimens. Syst. Signal Process. 22(1-3): 55-65 (2011) - 2010
- [j8]Albert Heinle, Viktor Levandovskyy:
Factorization of polynomials in Z-graded skew polynomial rings. ACM Commun. Comput. Algebra 44(3/4): 113-114 (2010) - [j7]Viktor Levandovskyy:
Non-commutative subsystems of singular. ACM Commun. Comput. Algebra 44(3/4): 125-126 (2010) - [j6]Daniel Andres, Michael Brickenstein, Viktor Levandovskyy, Jorge Martín-Morales, Hans Schönemann:
Constructive D-Module Theory with Singular. Math. Comput. Sci. 4(2-3): 359-383 (2010) - 2009
- [j5]Roberto La Scala, Viktor Levandovskyy:
Letterplace ideals and non-commutative Gröbner bases. J. Symb. Comput. 44(10): 1374-1393 (2009) - [j4]Viktor Levandovskyy, Alessandro Logar, Valery G. Romanovski:
The Cyclicity of a Cubic System. Open Syst. Inf. Dyn. 16(4): 429- (2009) - 2008
- [j3]Christoph Koutschan, Viktor Levandovskyy:
Computing one of Victor Moll's irresistible integrals with computer algebra. Comput. Sci. J. Moldova 16(1): 35-49 (2008) - 2007
- [j2]Viktor Levandovskyy:
Foreword from the Editor. J. Symb. Comput. 42(11-12): 1001-1002 (2007) - 2003
- [j1]Viktor Levandovskyy, Hans Schönemann:
Using computer algebra system SINGULAR: PLURAL for computations in noncommutative polynomial algebras. SIGSAM Bull. 37(3): 77-78 (2003)
Conference and Workshop Papers
- 2022
- [c16]Viktor Levandovskyy, Christian Eder, Andreas Steenpass, Simon Schmidt, Julien Schanz, Moritz Weber:
Existence of Quantum Symmetries for Graphs on Up to Seven Vertices: A Computer based Approach. ISSAC 2022: 311-318 - 2020
- [c15]Viktor Levandovskyy, Hans Schönemann, Karim Abou Zeid:
Letterplace: a subsystem of singular for computations with free algebras via letterplace embedding. ISSAC 2020: 305-311 - [c14]Viktor Levandovskyy, Tobias Metzlaff, Karim Abou Zeid:
Computation of free non-commutative gröbner bases over Z with Singular: Letterplace. ISSAC 2020: 312-319 - [c13]Leonard Schmitz, Viktor Levandovskyy:
Formally Verifying Proofs for Algebraic Identities of Matrices. CICM 2020: 222-236 - 2018
- [c12]Johannes Hoffmann, Viktor Levandovskyy:
Constructive Arithmetics in Ore Localizations with Enough Commutativity. ISSAC 2018: 207-214 - 2017
- [c11]Johannes Hoffmann, Viktor Levandovskyy:
A Constructive Approach to Arithmetics in Ore Localizations. ISSAC 2017: 197-204 - 2016
- [c10]Albert Heinle, Viktor Levandovskyy:
A Factorization Algorithm for G-Algebras and Applications. ISSAC 2016: 263-270 - 2014
- [c9]Mark Giesbrecht, Albert Heinle, Viktor Levandovskyy:
Factoring linear differential operators in n variables. ISSAC 2014: 194-201 - 2013
- [c8]Viktor Levandovskyy, Grischa Studzinski, Benjamin Schnitzler:
Enhanced computations of gröbner bases in free algebras as a new application of the letterplace paradigm. ISSAC 2013: 259-266 - 2012
- [c7]Viktor Levandovskyy:
Elements of computer-algebraic analysis. ISSAC 2012: 9-10 - 2011
- [c6]Viktor Levandovskyy, Christoph Koutschan, Oleksandr Motsak:
On Two-Generated Non-commutative Algebras Subject to the Affine Relation. CASC 2011: 309-320 - 2009
- [c5]Daniel Andres, Viktor Levandovskyy, Jorge Martín-Morales:
Principal intersection and bernstein-sato polynomial of an affine variety. ISSAC 2009: 231-238 - 2008
- [c4]Viktor Levandovskyy, Jorge Martín-Morales:
Computational D-module theory with singular, comparison with other systems and two new algorithms. ISSAC 2008: 173-180 - 2006
- [c3]Viktor Levandovskyy:
Plural, a Non-commutative Extension of Singular: Past, Present and Future. ICMS 2006: 144-157 - [c2]Viktor Levandovskyy:
Intersection of ideals with non-commutative subalgebras. ISSAC 2006: 212-219 - 2003
- [c1]Viktor Levandovskyy, Hans Schönemann:
Plural: a computer algebra system for noncommutative polynomial algebras. ISSAC 2003: 176-183
Informal and Other Publications
- 2017
- [i13]Wolfram Decker, Christian Eder, Viktor Levandovskyy, Sharwan K. Tiwari:
Modular Techniques For Noncommutative Gröbner Bases. CoRR abs/1704.02852 (2017) - [i12]Johannes Hoffmann, Viktor Levandovskyy:
Constructive Arithmetics in Ore Localizations of Domains. CoRR abs/1712.01773 (2017) - 2016
- [i11]Albert Heinle, Viktor Levandovskyy:
A Factorization Algorithm for G-Algebras and Applications. CoRR abs/1602.00296 (2016) - 2014
- [i10]Mark Giesbrecht, Albert Heinle, Viktor Levandovskyy:
Factoring Differential Operators in n Variables. CoRR abs/1404.0002 (2014) - 2013
- [i9]Albert Heinle, Viktor Levandovskyy:
Factorization of Z-homogeneous polynomials in the First (q)-Weyl Algebra. CoRR abs/1302.5674 (2013) - [i8]Albert Heinle, Viktor Levandovskyy, Andreas Nareike:
SymbolicData: SDEval - Benchmarking for Everyone. CoRR abs/1310.5551 (2013) - 2011
- [i7]Christoph Koutschan, Viktor Levandovskyy, Oleksandr Motsak:
On Two-generated Non-commutative Algebras Subject to the Affine Relation. CoRR abs/1108.1108 (2011) - [i6]Viktor Levandovskyy, Kristina Schindelar:
Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gr{ö}bner bases. CoRR abs/1110.5468 (2011) - 2010
- [i5]Viktor Levandovskyy, Jorge Martín-Morales:
Algorithms for Checking Rational Roots of $b$-functions and their Applications. CoRR abs/1003.3478 (2010) - [i4]Viktor Levandovskyy, Kristina Schindelar:
Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases. CoRR abs/1003.3785 (2010) - [i3]Kristina Schindelar, Viktor Levandovskyy, Eva Zerz:
Exact linear modeling using Ore algebras. CoRR abs/1004.2924 (2010) - [i2]Daniel Andres, Michael Brickenstein, Viktor Levandovskyy, Jorge Martín-Morales, Hans Schönemann:
Constructive $D$-module Theory with \textsc{Singular}. CoRR abs/1005.3257 (2010) - 2007
- [i1]Viktor Levandovskyy, Eva Zerz:
Obstructions to Genericity in Study of Parametric Problems in Control Theory. CoRR abs/0708.2078 (2007)
Coauthor Index
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