Publications

 

2007

  • Robertz, D.
    Janet Bases and Applications,
    In: Rosenkranz, M., Wang, D. (eds.), Groebner Bases in Symbolic Analysis, Radon Series on Computational and Applied Mathematics 2, de Gruyter, 2007, 139-168.
  • Plesken, W. and Robertz, D.
    Some elimination problems for matrices.
    In: Ganzha, V. G., Mayr, E. W., Vorozhtsov, E. V. (Eds.),
    Computer Algebra in Scientific Computing, 10th International Workshop, CASC 2007, Bonn, Germany,
    Proceedings Series: Lecture Notes in Computer Science, Vol. 4770, Springer, 2007, 350-359.

2006

  • Plesken, W. and Robertz, D.
    Representations, commutative algebra, and Hurwitz groups.
    J. Algebra 300 (2006), 223-247.
  • Gerdt, V. P., Blinkov, Y. A., and Mozzhilkin, V. V.,
    Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations,
    Symmetry, Integrability and Geometry: Methods and Applications, 2, 2006.
  • Gerdt, V. P.,
    On Computation of Gröbner Bases for Linear Difference Systems,
    Nuclear Instruments and Methods in Physics Research, A: Accelerators, Spectrometers, Detectors and Associated Equipment, 559(1):211-214, 2006.
  • Gerdt, V. P. and Robertz, D.
    A Maple package for computing Gröbner bases for linear recurrence relations.
    Nuclear Instruments and Methods in Physics Research Section A 559(1):215-219, 2006.

2005

  • Plesken, W. and Robertz, D.
    Constructing Invariants for Finite Groups.
    Experimental Mathematics 14:2 (2005), 175-188.
  • Gerdt, V. P.
    Involutive Algorithms for Computing Gröbner Bases.
    In: Cojocaru, S. and Pfister, G. and Ufnarovski, V. (eds.), Computational Commutative and Non-Commutative Algebraic Geometry, NATO Science Series, IOS Press, 199-225.
  • Gerdt, V. P. and Blinkov, Y. A.
    Janet-like Monomial Division. Janet-like Gröbner Bases.
    In: Ganzha, V. G. and Mayr, E. W. and Vorozhtsov, E. V. (eds.), Computer Algebra in Scientific Computing CASC 2005, Springer, 174-183 resp. 184-195.
  • Plesken, W. and Robertz, D.
    Janet's approach to presentations and resolutions for polynomials and linear pdes.
    Archiv der Mathematik 84 (2005), no. 1, 22-37.

2003

  • Blinkov, Y. A., Cid, C. F., Gerdt, V. P., Plesken, W., and Robertz, D.
    The MAPLE Package "Janet": I. Polynomial Systems. II. Linear Partial Differential Equations.
    In: Proc. 6th Int. Workshop on Computer Algebra in Scientific Computing, Passau (Germany), 2003, 31-40 resp. 41-54.
    Involutive.ps, Involutive.pdf,
    Janet.ps, Janet.pdf.

1998

  • Gerdt, V. P. and Blinkov, Y. A.,
    Minimal involutive bases,
    Mathematics and Computers in Simulation, 45:543-560, 1998.
  • Gerdt, V. P. and Blinkov, Y. A.,
    Involutive bases of polynomial ideals,
    Mathematics and Computers in Simulation, 45:519-541, 1998.