A Note on Circulant Matrices of Degree 9

• Autorzy: Viktor Dubovský
• Języki publikacji: EN

Abstrakty

EN

Circulant matrices provide quite a wide range of applications in many different branches of mathematics, such as data and time-series analysis, signal processing or Fourier transformation. Huge number of results concerning circulant matrices could be found in algebraic number theory. This is because we could construct factor ring isomorphic to the p-th cyclotomic field Q(Ƈp) from the ring of circulant matrices degree p, where p is a prime. In this paper the connection between ring of circulant matrices of degree 9, C9, and the cyclotomic field Q(Ƈ9) is shown.

Słowa kluczowe

PL

Macierze; Matematyka

EN

Matrix; Mathematics

• Czasopismo: Systems Supporting Production Engineering
• Rocznik: 2017
• Numer: 6(4) Cross-Border Exchange of Experience in Production Engineering Using Principles of Mathematics
• Strony: 243-251

Twórcy

autor

Viktor Dubovský

• VŠB - Technical University of Ostrava, Czech Republic

Bibliografia

• J. Kostra. "A Note on Representation of Cyclotomic Fields", Acta Mathematica et Informatica Universitatis Ostraviensis, Vol. 4, 1996, p. 29-35.
• M. Pomp, R. Havelek. "On representation of cyclotomic fields Q(Ƈpq)", Acta Mathematica et Informatica Universitatis Ostraviensis, Vol. 7, 1999, p. 71-78.