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Article . 2014
Data sources: CyberLeninka - Russian open access scientific library
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Вычисление матриц Мерсенна методом Пэли

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 Russian Publisher:Федеральное государственное автономное образовательное учреждение высшего образования «Санкт-Петербургский национальный исследовательский университет информационных технологий, механики и оптики»Journal:Известия высших учебных заведений. Приборостроение (issn: 0021-3454, Copyright policy )

Вычисление матриц Мерсенна методом Пэли

Abstract

A modified Paley method for calculation of Mersenne matrix of arbitrary order equal to a prime number is presented. An example of Mersenne matrix calculation is analyzed. Comparison of Mersenne matrices obtained with the use of the modified Sylvester and Paley methods is carried out. Effectiveness of the proposed method is analyzed with respect to the universal procedure of M-matrix retrieval.

Приводится модифицированный метод Пэли вычисления матриц Мерсенна при значениях порядка, равных простым числам. Рассматривается пример вычисления матрицы Мерсенна. Приводится сравнение матриц, находимых модифицированными методами Сильвестра и Пэли. Отмечается эффективность развиваемого метода относительно универсальной процедуры поиска М -матриц, определяющая сферу приложения метода.

Keywords

ПОМЕХОУСТОЙЧИВОЕ КОДИРОВАНИЕ,SECURE CODING,ОБРАБОТКА ИНФОРМАЦИИ,DATA PROCESSING,ОРТОГОНАЛЬНЫЕ МАТРИЦЫ,ORTHOGONAL MATRICES,КВАЗИОРТОГОНАЛЬНЫЕ МАТРИЦЫ,QUASI-ORTHOGONAL MATRICES,МАТРИЦЫ АДАМАРА,HADAMARD MATRICES,МАТРИЦЫ МЕРСЕННА,MERSENNE MATRICES,МЕТОД СИЛЬВЕСТРА,МЕТОД СКАРПИ,МЕТОД ПЭЛИ,PALEY METHOD,SYLVESTER METHOD,SCARPIS METHOD

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze