CONVERSION BETWEEN HERMITE AND POPOV NORMAL FORMS USING AN FGLM-LIKE APPROACH
Author:
Affiliation:
1. Research Institute for Symbolic Computation (RISC), Linz, Austria jmiddeke@risc.jku.at
Publisher
Research Institute of Science and Technology (RISAT)
Subject
General Medicine
Reference24 articles.
1. [1] Adams, W. W., and Loustaunau, P. An introduction to Gröbner bases. Graduate studies in mathematics. AMS, 1994.
2. [2] Beckermann, B., Cheng, H., and Labahn, G. Fraction-free row reduction of matrices of Ore polynomials. Journal of Symbolic Computation 41 (2006), 513 – 543.
3. [3] Bronstein, M., and Petkovs̆ek, M. An introduction to pseudo-linear algebra. Theoretical Computer Science 157, 3-33 157 (1996), 3–33.
4. [4] Buchberger, B. Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem, nulldimensionalen Polynomideal (An Algorithm for Finding the Basis Elements in the Residue Class Ring Modulo a Zero Dimensional Polynomial Ideal). PhD thesis, Mathematical Institute, University of Innsbruck, Austria, 1965. (English translation to appear in Journal of Symbolic Computation, 2004).
5. [5] Bueso, J. L., Gómez-Torrecillas, J., and Verschoren, A. Algorithmic methods in non-commutative algebra, vol. 17 of Mathematical modelling: Theory and applications. Kluwer Academic Publishers, Dordrecht, The Netherlands, 2003.
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