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Original Article

Elimination for Coefficients of Special Characteristic Polynomials

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Pages 499-510 | Published online: 30 Jan 2011

  • Y. A. Blinkov, V. P. Gerdt, and D. A. Yanovich. "Construction of Janet bases, II. Polynomial Bases." In Computer Algebra in Scientific Computing CASC 2001, edited by V. G. Ganzha, E. W. Mayr, and E. V. Vorozhtsov, pp. 249-263. New York: Springer, 2001.
  • Y. A. Blinkov, C. F. Cid, V. P. Gerdt, W. Plesken, and D. Robertz. "The MAPLE Package 'Janet': I. Polynomial Systems." In Proc. of Computer Algebra in Scientific Computing CASC 2003, edited byV. G. Ganzha, E. W. Mayr, and E. V. Vorozhtsov, pp. 31-40. Garching, Germany: Institut für Informatik, TUMünchen, 2003. Also available together with the package online ( http://wwwb. math.rwth-aachen.de/Janet
  • Y. A. Blinkov, S. Jambor, and D. Robertz. "The ginv Project." Available online ( http://invo.jinr.ru and http://wwwb.math.rwth-aachen.de/Janet
  • W. Bosma, J. J. Cannon, and C. Playoust. "The Magma Algebra System I: The User Language." J. Symbolic Computation 24 (1997), 235-265. ( http://magma. maths.usyd.edu.au/magma/MagmaInfo.html
  • D. Cox, J. Little, and D. O'Shea. Using Algebraic Geometry. New York: Springer, 1998.
  • V. P. Gerdt. "Involutive Algorithms for Computing Gröbner Bases." In Computational Commutative and Non-Commutative Algebraic Geometry, edited by S. Cojocaru, G. Pfister, and V. Ufnarovski, pp. 199-225, NATO Science Series. Amsterdam: IOS Press, 2005.
  • V. P. Gerdt and Y. A. Blinkov. "Janet-like Gröbner Bases." In Computer Algebra in Scientific Computing, pp. 184-195, Lecture Notes in Comput. Sci. 3718. Berlin: Springer, 2005.
  • S. P. Glasby. "On the Tensor Product of Polynomials over a Ring." J. Aust. Math. Soc. 71 (2001), 307-324.
  • G.-M. Greuel, G. Pfister, and H. Schönemann. "Singular 3.0. A Computer Algebra System for Polynomial Computations." Available online from the Center for Computer Algebra, University of Kaiserslautern ( http://www.singular.uni-kl.de
  • C. R. Leedham-Green and E. O'Brien. "Recognising Tensor Products for Matrix Groups." Int. J. of Algebra and Computation 7 (1997), 541-559.
  • W. Plesken and D. Robertz. "Janet's Approach to Presentations and Resolutions for Polynomials and Linear PDEs." Arch. Math. 84:1 (2005), 22-37.
  • R. Schwingel. "The Tensor Product of Polynomials." Exp. Math. 8 (1999), 395-397.
  • B. L. van der Waerden. Moderne Algebra, II. Berlin: Springer, 1931.

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