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2007 | 17 | 4 | 463-470
Tytuł artykułu

On the computation of the GCD of 2-D polynomials

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.
Rocznik
Tom
17
Numer
4
Strony
463-470
Opis fizyczny
Daty
wydano
2007
otrzymano
2007-04-17
poprawiono
2007-07-25
(nieznana)
2007-10-31
Twórcy
  • Department of Mathematics, School of Sciences, Technological Educational Institution of Thessaloniki, P.O. Box 14561, GR-541 01 Thessaloniki, Greece
  • Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece
  • Department of Mathematics, School of Sciences, Technological Educational Institution of Thessaloniki, P.O. Box 14561, GR-541 01 Thessaloniki, Greece
Bibliografia
  • Karampetakis N.P., Tzekis P., (2005): On the computation of the minimal polynomial of a polynomial matrix. International Journal of Applied Mathematics and Computer Science, Vol.15,No.3, pp.339-349.
  • Karcanias N. and Mitrouli M., (2004): System theoretic based characterisation and computation of the least common multiple of a set of polynomials. Linear Algebra and Its Applications, Vol.381, pp.1-23.
  • Karcanias N. and Mitrouli, M., (2000): Numerical computation of the least common multiple of a set of polynomials, Reliable Computing, Vol.6, No.4, pp.439-457.
  • Karcanias N. and Mitrouli M., (1994): A matrix pencil based numerical method for the computation of the GCD of polynomials. IEEE Transactions on Automatic Control, Vol.39, No.5, pp.977-981.
  • Mitrouli M.and Karcanias N., (1993): Computation of the GCD of polynomials using Gaussian transformation and shifting. International Journal of Control, Vol.58, No.1, pp.211-228.
  • Noda M. and Sasaki T., (1991): Approximate GCD and its applications to ill-conditioned algebraic equations. Journal of Computer and Applied Mathematics Vol.38, No.1-3,pp.335-351.
  • Pace I. S. and Barnett S., (1973): Comparison of algorithms for calculation of GCD of polynomials. International Journal of Systems Science Vol.4, No.2, pp.211-226.
  • Paccagnella, L. E. and Pierobon, G. L., (1976): FFT calculation of a determinantal polynomial. IEEE Transactions on Automatic Control, Vol.21, No.3, pp.401-402.
  • Schuster, A.and Hippe, P., (1992): Inversion of polynomial matrices by interpolation. IEEE Transactions on Automatic Control, Vol.37, No.3, pp.363-365.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv17i4p463bwm
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