Daniel Robertz

this is Daniel’s homepage

2016

Gerdt, V ~P; Robertz, D

Lagrangian Constraints and Differential Thomas Decomposition Journal Article

Advances in Applied Mathematics, 72 , pp. 113–138, 2016.

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2015

Robertz, D

Recent Progress in an Algebraic Analysis Approach to Linear Systems Journal Article

Multidimensional Systems and Signal Processing, 26 (2), pp. 349–388, 2015.

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2014

Quadrat, A; Robertz, D

A constructive study of the module structure of rings of partial differential operators Journal Article

Acta Applicandae Mathematicae, 133 (1), pp. 187–234, 2014.

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Robertz, D

Formal Algorithmic Elimination for PDEs Book

Springer, Cham, 2014.

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2013

Lange-Hegermann, M; Robertz, D

Thomas decompositions of parametric nonlinear control systems Inproceedings

Proceedings of the 5th Symposium on System Structure and Control, Grenoble (France), pp. 291–296, 2013.

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Quadrat, A; Robertz, D

Stafford's reduction of linear partial differential systems Inproceedings

Proceedings of the 5th Symposium on System Structure and Control, Grenoble (France), pp. 309–314, 2013.

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Robertz, D

Applying Thomas decomposition and algebraic analysis to certain nonlinear PDE systems Inproceedings

Mathematisches Forschungsinstitut Oberwolfach Report No. ??/2013, pp. ???, 2013.

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2012

B"achler, T; Gerdt, V ~P; Lange-Hegermann, M; Robertz, D

Algorithmic Thomas Decomposition of Algebraic and Differential Systems Journal Article

Journal of Symbolic Computation, 47 (10), pp. 1233–1266, 2012.

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Gerdt, V ~P; Robertz, D

Computation of Difference Gr"obner Bases Journal Article

Computer Science Journal of Moldova, 20 (2 (59)), pp. 203–226, 2012.

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2010

Plesken, W; Robertz, D

Linear differential elimination for analytic functions Journal Article

Mathematics in Computer Science, 4 (2--3), pp. 231–242, 2010.

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Quadrat, A; Robertz, D

Controllability and differential flatness of linear analytic ordinary differential systems Inproceedings

Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, 2010.

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Gerdt, V ~P; Robertz, D

Consistency of Finite Difference Approximations for Linear PDE Systems and its Algorithmic Verification Inproceedings

Watt, S ~M (Ed.): Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 25-28 July 2010, TU M"unchen, Germany, pp. 53–59, 2010.

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B"achler, T; Gerdt, V ~P; Lange-Hegermann, M; Robertz, D

Thomas Decomposition of Algebraic and Differential Systems Inproceedings

Gerdt, V P; Koepf, W; Mayr, E W; Vorozhtsov, E H (Ed.): Computer Algebra in Scientific Computing, 12th International Workshop, CASC 2010, Tsakhkadzor, Armenia, pp. 31–54, Springer, 2010.

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2009

Plesken, W; Robertz, D

The average number of cycles Journal Article

Archiv der Mathematik, 93 (5), pp. 445–449, 2009.

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Barakat, M; Robertz, D

conley: Computing connection matrices in Maple Journal Article

Journal of Symbolic Computation, 44 (5), pp. 540–557, 2009.

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Robertz, D

Noether normalization guided by monomial cone decompositions Journal Article

Journal of Symbolic Computation, 44 (10), pp. 1359–1373, 2009.

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Robertz, D

The Auslander-Buchsbaum-Serre theorem Inproceedings

Mathematisches Forschungsinstitut Oberwolfach Report No. 50/2009, pp. 2750–2751, 2009.

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Robertz, D

Parametrizing linear systems Inproceedings

Mathematisches Forschungsinstitut Oberwolfach Report No. 50/2009, pp. 2755–2758, 2009.

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2008

Barakat, M; Robertz, D

homalg: A meta-package for homological algebra Journal Article

Journal of Algebra and Its Applications, 7 (3), pp. 299–317, 2008.

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Plesken, W; Robertz, D

Elimination for coefficients of special characteristic polynomials Journal Article

Experimental Mathematics, 17 (4), pp. 499–510, 2008.

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Quadrat, A; Robertz, D

Baer's extension problem for multidimensional linear systems Inproceedings

Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2008), Virginia Tech, Blacksburg, Virginia (USA), 2008.

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2007

Chyzak, F; Quadrat, A; Robertz, D

OreModules: A Symbolic Package for the Study of Multidimensional Linear Systems Inproceedings

Chiasson, J; Loiseau, J -J (Ed.): Applications of Time-Delay Systems, pp. 233–264, Springer, 2007.

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Robertz, D

Janet Bases and Applications Inproceedings

Rosenkranz, M; Wang, D (Ed.): Groebner Bases in Symbolic Analysis, pp. 139–168, de Gruyter, 2007.

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Quadrat, A; Robertz, D

Computation of bases of free modules over the Weyl algebras Journal Article

Journal of Symbolic Computation, 42 (11--12), pp. 1113–1141, 2007.

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Plesken, W; Robertz, D

Some Elimination Problems for Matrices Inproceedings

Ganzha, V G; Mayr, E W; Vorozhtsov, E V (Ed.): Computer Algebra in Scientific Computing, 10th International Workshop, CASC 2007, Bonn, Germany, pp. 350–359, Springer, 2007.

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2006

Gerdt, V ~P; Robertz, D

A Maple Package for Computing Gr"obner Bases for Linear Recurrence Relations Journal Article

Nuclear Instruments and Methods in Physics Research, A: Accelerators, Spectrometers, Detectors and Associated Equipment, 559 (1), pp. 215–219, 2006.

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Plesken, W; Robertz, D

Representations, commutative algebra, and Hurwitz groups Journal Article

Journal of Algebra, 300 (1), pp. 223–247, 2006.

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Barakat, M; Robertz, D

homalg: First steps to an abstract package for homological algebra Inproceedings

Proceedings of the X meeting on computational algebra and its applications (EACA 2006), Seville (Spain), pp. 29–32, 2006.

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Quadrat, A; Robertz, D

Constructive computation of flat outputs of a class of multidimensional linear systems with variable coefficients Inproceedings

Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan), pp. 583–595, 2006.

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Barakat, M; Robertz, D

Computing invariants of multidimensional linear systems on an abstract homological level Inproceedings

Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan), pp. 542–559, 2006.

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Quadrat, A; Robertz, D

On the Monge problem and multidimensional optimal control Inproceedings

Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan), pp. 596–605, 2006.

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Robertz, D

Representations, commutative algebra, and Hurwitz groups (joint work with Wilhelm Plesken) Inproceedings

Mathematisches Forschungsinstitut Oberwolfach Report No. 30/2006, pp. 1842–1843, 2006.

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Robertz, D

Formal Computational Methods for Control Theory PhD Thesis

RWTH Aachen, Germany, 2006, (This thesis is available at tt http://darwin.bth.rwth-aachen.de/opus/volltexte/ 2006/1586).

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Corves, B; Abel, D; Plesken, W; Harmeling, F; Robertz, D; Maschuw, J

Methoden und Werkzeuge zum Entwurf mechatronischer Bewegungssysteme mit ungleichm"aß ig "ubersetzenden Getrieben Inproceedings

VDI Berichte 1963, pp. 557–573, VDI-Verlag, 2006.

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2005

Chyzak, F; Quadrat, A; Robertz, D

Effective algorithms for parametrizing linear control systems over Ore algebras Journal Article

Applicable Algebra in Engineering, Communication and Computing, 16 (5), pp. 319–376, 2005.

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Plesken, W; Robertz, D

Constructing Invariants for Finite Groups Journal Article

Experimental Mathematics, 14 (2), pp. 175–188, 2005.

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Plesken, W; Robertz, D

Janet's approach to presentations and resolutions for polynomials and linear pdes Journal Article

Archiv der Mathematik, 84 (1), pp. 22–37, 2005.

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Quadrat, A; Robertz, D

Parametrizing all solutions of uncontrollable multidimensional linear systems Inproceedings

Proceedings of the 16th IFAC World Congress, Prague (Czech Republic), July 4-8, 2005, 2005.

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Quadrat, A; Robertz, D

On the blowing-up of stably free behaviours Inproceedings

Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville (Spain), December 12-15, 2005, pp. 1541–1546, 2005.

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Gerdt, V ~P; Robertz, D

Computation of Gr"obner Bases for Systems of Linear Difference Equations Journal Article

Computeralgebra-Rundbrief, 37 , pp. 8–16, 2005.

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2004

Chyzak, F; Quadrat, A; Robertz, D

OreModules: A symbolic package for the study of multidimensional linear systems Inproceedings

Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), Katholieke Universiteit Leuven (Belgium), 2004.

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2003

Chyzak, F; Quadrat, A; Robertz, D

Linear Control Systems over Ore Algebras: Effective Algorithms for the Computation of Parametrizations Inproceedings

IFAC Workshop on Time-Delay Systems, Sep. 8-10, 2003, INRIA, Rocquencourt (France), 2003.

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Blinkov, Y ~A; Cid, C ~F; Gerdt, V ~P; Plesken, W; Robertz, D

The MAPLE Package ``Janet'': I. Polynomial Systems Inproceedings

Ganzha, V ~G; Mayr, E ~W; Vorozhtsov, E ~V (Ed.): Proceedings of the 6th International Workshop on Computer Algebra in Scientific Computing, Sep. 20-26, 2003, Passau (Germany), pp. 31–40, 2003.

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Blinkov, Y ~A; Cid, C ~F; Gerdt, V ~P; Plesken, W; Robertz, D

The MAPLE Package ``Janet'': II. Linear Partial Differential Equations Inproceedings

Ganzha, V ~G; Mayr, E ~W; Vorozhtsov, E ~V (Ed.): Proceedings of the 6th International Workshop on Computer Algebra in Scientific Computing, Sep. 20-26, 2003, Passau (Germany), pp. 41–54, 2003.

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