Symbolic description of the polynomial roots and their numerical implementation - better than in Mathematica software?

• Autorzy: Hetmaniok Edyta , Słota Damian , Pleszczyński Mariusz , Wituła Roman , Różański Michał , Szczygieł Marcin

Identyfikatory

DOI

10.15439/2019F164

• Konferencja: Federated Conference on Computer Science and Information Systems (14 ; 01-04.09.2019 ; Leipzig, Germany)
• Języki publikacji: EN

Abstrakty

EN

This paper is a continuation of the discussion undertaken in one of our previous papers. We present in the current paper the corrected, and also given in a slightly changed form, Vandermonde formulae for the roots of some quintic polynomials considered in J.P. Tignol's monograph. The proofs of selected trigonometric identities from our previous paper are given and some new identities have been generated by the occasion, which also can be used for testing our Langrange algorithm for the case of cubic polynomials. Moreover, we present here the decomposition of polynomials belonging to some two-parameter family of polynomials related to the Chebyshev polynomials of the first kind.

Słowa kluczowe

EN

Lagrange algorithm; Chebyshev polynomials; trigonometric identities

PL

tożsamość trygonometryczna; algorytm Langrange'a; wielomiany Czebyszewa

• Wydawca: Polskie Towarzystwo Informatyczne
• Czasopismo: Annals of Computer Science and Information Systems
• Rocznik: 2019
• Tom: Vol. 20
• Strony: 41--45
• Opis fizyczny: Bibliogr. 31 poz., wz.

Twórcy

autor

Hetmaniok Edyta

• Silesian University of Technology, Institute of Mathematics

autor

Słota Damian

• Silesian University of Technology, Institute of Mathematics

autor

Pleszczyński Mariusz

• Silesian University of Technology, Institute of Mathematics

autor

Wituła Roman

• Silesian University of Technology, Institute of Mathematics

autor

Różański Michał

• Silesian University of Technology, Institute of Mathematics

autor

Szczygieł Marcin

• Silesian University of Technology, Institute of Mechatronics

Bibliografia

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Uwagi

1. Track 2: Computer Science & Systems

2. Technical Session: 12th Workshop on Computer Aspects of Numerical Algorithms

3. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).