Search Results - "Viktor Levandovskyy"

Gröbner Bases for Fusion Products by Flake, Johannes, Fourier, Ghislain, Levandovskyy, Viktor

“…We provide a new approach towards the analysis of the fusion products defined by B. Feigin and S. Loktev in the representation theory of (truncated) current…”
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On noncommutative finite factorization domains by BELL, JASON P., HEINLE, ALBERT, LEVANDOVSKYY, VIKTOR

“…A domain R is said to have the finite factorization property if every nonzero nonunit element of R has at least one and at most finitely many distinct…”
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Modular Techniques for Noncommutative Gröbner Bases by Decker, Wolfram, Eder, Christian, Levandovskyy, Viktor, Tiwari, Sharwan K.

“…We extend modular techniques for computing Gröbner bases from the commutative setting to the vast class of noncommutative G -algebras. As in the commutative…”
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Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases by Levandovskyy, Viktor, Schindelar, Kristina

“…In this paper we present an algorithm for the computation of a diagonal form of a matrix over non-commutative Euclidean domain over a field with the help of…”
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Constructive arithmetics in Ore localizations enjoying enough commutativity by Hoffmann, Johannes, Levandovskyy, Viktor

“…This paper continues a research program on constructive investigations of non-commutative Ore localizations, initiated in our previous papers, and particularly…”
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Computing free non-commutative Gröbner bases over Z with Singular:Letterplace by Levandovskyy, Viktor, Metzlaff, Tobias, Abou Zeid, Karim

“…With this paper we present an extension of our recent ISSAC paper about computations of Gröbner(-Shirshov) bases over free associative algebras Z〈X〉. We…”
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Computing Free Non-commutative Groebner Bases over Z with Singular:Letterplace by Levandovskyy, Viktor, Metzlaff, Tobias, Abou Zeid, Karim

“…With this paper we present an extension of our recent ISSAC paper about computations of Groebner(-Shirshov) bases over free associative algebras Z. We present…”
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Computing one of Victor Moll's irresistible integrals with computer algebra by Christoph Koutschan, Viktor Levandovskyy

“…We investigate a certain quartic integral from V. Moll's book “Irresistible Integrals” and demonstrate how it can be solved by computer algebra methods, namely…”
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Certifying solutions to square systems of polynomial-exponential equations by Hauenstein, Jonathan D., Levandovskyy, Viktor

“…Smale's α-theory certifies that Newton iterations will converge quadratically to a solution of a square system of analytic functions based on the Newton…”
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Symbolic homogenization and structure optimization for a periodically perforated cylindrical shell by Hauck, Michael, Orlik, Julia, Levandovskyy, Viktor, Lykhachova, Olga

“…The main focus of this paper lies in the drastic model reduction for a complex multi‐scale problem of linear elasticity. The core of the work lies in the…”
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Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra by La Scala, Roberto, Levandovskyy, Viktor

“…In this paper we introduce an algebra embedding ι:K〈X〉→S from the free associative algebra K〈X〉 generated by a finite or countable set X into the skew monoid…”
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Factoring linear partial differential operators in n variables by Giesbrecht, Mark, Heinle, Albert, Levandovskyy, Viktor

“…In this paper, we present a new algorithm and an experimental implementation for factoring elements in the polynomial nth Weyl algebra, the polynomial nth…”
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Letterplace ideals and non-commutative Gröbner bases by La Scala, Roberto, Levandovskyy, Viktor

“…In this paper we propose a 1-to-1 correspondence between graded two-sided ideals of the free associative algebra and some class of ideals of the algebra of…”
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Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases by Levandovskyy, Viktor, Schindelar, Kristina

“…This paper is a sequel to “Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases” (Levandovskyy and Schindelar, 2011). We present a…”
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Bifurcation of critical periods of polynomial systems by Ferčec, Brigita, Levandovskyy, Viktor, Romanovski, Valery G., Shafer, Douglas S.

“…We describe a general approach to studying bifurcations of critical periods based on a complexification of the system and algorithms of computational algebra…”
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Foreword from the Editor by Levandovskyy, Viktor

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Exact linear modeling using Ore algebras by Levandovskyy, Viktor, Zerz, Eva, Schindelar, Kristina

“…Linear exact modeling is a problem coming from system identification: given a set of observed trajectories, the goal is to find a model (usually, a system of…”
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Foreword from the Editors by Levandovskyy, Viktor, Pagon, Dušan, Petkovšek, Marko, Romanovski, Valery

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Exact linear modeling with polynomial coefficients by Zerz, Eva, Levandovskyy, Viktor, Schindelar, Kristina

“…Given a finite set of polynomial, multivariate, and vector-valued functions, we show that their span can be written as the solution set of a linear system of…”
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The cyclicity of a cubic system with nonradical Bautin ideal by Levandovskyy, Viktor, Romanovski, Valery G., Shafer, Douglas S.

“…We present a method for investigating the cyclicity of an elementary focus or center of a polynomial system of differential equations by means of…”
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