A Parallel Algorithm for Dividing Octonions

Autor: Aleksandr Cariow, Janusz P. Paplinski
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Algorithms, Vol 14, Iss 11, p 309 (2021)
Druh dokumentu: article
ISSN: 1999-4893
DOI: 10.3390/a14110309
Popis: The article presents a parallel hardware-oriented algorithm designed to speed up the division of two octonions. The advantage of the proposed algorithm is that the number of real multiplications is halved as compared to the naive method for implementing this operation. In the synthesis of the discussed algorithm, the matrix representation of this operation was used, which allows us to present the division of octonions by means of a vector–matrix product. Taking into account a specific structure of the matrix multiplicand allows for reducing the number of real multiplications necessary for the execution of the octonion division procedure.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje
načítá se...