Multivariate Congruential Methods

Lih-Yuan Deng, Yu-Chao Chu and Vickey Chiu-Chin Lin
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Lih-Yuan Deng: Memphis State University, Department of Mathematical Sciences
Yu-Chao Chu: Memphis State University, Department of Mathematical Sciences
Vickey Chiu-Chin Lin: Memphis State University, Department of Mathematical Sciences

A chapter in Computing Science and Statistics, 1992, pp 323-327 from Springer

Abstract: Abstract The multivariate congruential method to generate a k-dimensional uniform pseudo-random vectors sequence has been considered recently by Grothe (1987), Nieder-reiter(l986) and Deng (1989,1990b). In this paper, we proposed an efficient method of finding matrix multipliers with the maximum period. Several generators with extremely long cycle are presented. Extensive empirical study shows the excellent performance of the new generators.

Keywords: Maximum Order; Ential Generator; Comprehensive Battery; Pascal Program; Matrix Multiplier (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2856-1_46

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DOI: 10.1007/978-1-4612-2856-1_46

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