On a new class of pseudorandom numbers for simulation methods

DOI10.1016/0377-0427(94)90385-9zbMath0823.65010OpenAlexW2069885785MaRDI QIDQ1893968

Harald Niederreiter

Publication date: 24 October 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90385-9

zbMATH Keywords

parallel computationpseudorandom numbersrandom number generatorslattice testserial testexplicit inversive congruential method

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (11)

Equidistribution properties of quadratic congruential pseudorandom numbers ⋮ Unnamed Item ⋮ On the joint linear complexity profile of explicit inversive multisequences ⋮ Further discrepancy bounds and an Erdös-Turán-Koksma inequality for hybrid sequences ⋮ Uniform random number generation ⋮ Average discrepancy, hyperplanes, and compound pseudorandom numbers ⋮ Parallel streams of nonlinear congruential pseudorandom numbers ⋮ Defects in parallel Monte Carlo and quasi-Monte Carlo integration using the leap-frog technique ⋮ Are there hyperbolas in the scatter plots of inversive congruential pseudorandom numbers? ⋮ Good random number generators are (not so) easy to find ⋮ The vortex filament equation as a pseudorandom generator

Cites Work

• Random number generators for parallel processors
• Marsaglia's lattice test and non-linear congruential pseudo-random number generators
• Remarks on nonlinear congruential pseudorandom numbers
• Inversive Congruential Pseudorandom Numbers Avoid the Planes
• Exponential Sums and Goppa Codes: I
• Inversive Congruential Pseudorandom Numbers: A Tutorial
• Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers
• On a trigonometric inequality of Vinogradov
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