Modular technique of high-speed parallel computing on the sets of polynomials

• Autorzy: Selyaninov M.
• Języki publikacji: EN

Abstrakty

EN

In this paper we present the modular computing structures (MCS) defined on the set of polynomials over finite rings of integers. This article is a continuation of research on the development of modular number systems (MNS) on arbitrary mathematical structures such as finite groups, rings and Galois fields [1-7].

Słowa kluczowe

EN

polynomials; polynomials sets; linear algebra

PL

wielomiany; zbiory wielomianów; systemy liczb modułowych; algebra liniowa

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2012
• Tom: Vol. 17
• Strony: 69--76
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Selyaninov M.

• Jan Długosz University, Institute of Technical Education and Safety, 42-200 Częstochowa, Al. Armii Krajowej 13/15, Poland

Bibliografia

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• [2] M. Selyaninov, Modular technique of parallel information processing, Scientific Issues, Jan Długosz University in Częstochowa, Mathematics, XIII, (2008) 43–52.
• [3] M. Selyaninov, Construction of modular number systems with arbitrary finite ranges, Scientific Issues, Jan Długosz University in Częstochowa, Mathematics, XIV, (2009) 105–115.
• [4] M. Selyaninov, Modular number systems in the complex plane, Scientific Issues, Jan Długosz University in Częstochowa, Mathematics, XV, (2010), 131–138.
• [5] M. Selianinau, High-speed modular structures for parallel computing in the space of orthogonal projections, Scientific Issues, Jan Długosz University in Częstochowa, Ser. Technikal and IT Education, V, (2010), 87-96.
• [6] M. Selyaninov, Arithmetic of quadratic minimal redundant modular number systems Scientific Issues, Jan Długosz University in Częstochowa, Mathematics, XVI, (2011), 129-134.
• [7] M. Selianinau, Modular principles of high-speed adaptive filtration of discrete signals, Scientific Issues, Jan Długosz University in Częstochowa, Ser. Technical and IT education, V, (2011), 75-84.
• [8] G. Korn, T. Korn, Mathematical Handbook for Scientists and Engineers, Nauka, Moscow 1974. (In Russian).
• [9] I. M. Vinogradov, Elements of Number Theory, Nauka, Moscow 1981. (In Russian).