.. SPDX-FileCopyrightText: 2019-2020 Intel Corporation
..
.. SPDX-License-Identifier: CC-BY-4.0

.. _onemath_rng_bibliography:

Bibliography
============


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   For more information about the RNG functionality, refer to the
   following publications:


   -


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         **RNG**

         [Bratley88]
            Bratley P. and Fox B.L. *Implementing Sobol's Quasirandom
            Sequence Generator*, ACM Transactions on Mathematical
            Software, Vol. 14, No. 1, Pages 88-100, March 1988.

         [Bratley92]
            Bratley P., Fox B.L., and Niederreiter H. *Implementation
            and Tests of Low-Discrepancy Sequences*, ACM Transactions on
            Modeling and Computer Simulation, Vol. 2, No. 3, Pages
            195-213, July 1992.

         [Coddington94]
            Coddington, P. D. *Analysis of Random Number Generators
            Using Monte Carlo Simulation*. Int. J. Mod. Phys. C-5, 547,
            1994.

         [L'Ecuyer99]
            L'Ecuyer, Pierre. *Tables of Linear Congruential Generators
            of Different Sizes and Good Lattice Structure*. Mathematics
            of Computation, 68, 225, 249-260, 1999.

         [L'Ecuyer99a]
            L'Ecuyer, Pierre. *Good Parameter Sets for Combined Multiple
            Recursive Random Number Generators*. Operations Research,
            47, 1, 159-164, 1999.

         [Kirkpatrick81]
            Kirkpatrick, S., and Stoll, E. *A Very Fast Shift-Register
            Sequence Random Number Generator*. Journal of Computational
            Physics, V. 40. 517-526, 1981.

         [Matsumoto98]
            Matsumoto, M., and Nishimura, T. *Mersenne Twister: A
            623-Dimensionally Equidistributed Uniform Pseudo-Random
            Number Generator*, ACM Transactions on Modeling and Computer
            Simulation, Vol. 8, No. 1, Pages 3-30, January 1998.

         [Matsumoto00]
            Matsumoto, M., and Nishimura, T. *Dynamic Creation of
            Pseudorandom Number Generators*, 56-69, in: Monte Carlo and
            Quasi-Monte Carlo Methods 1998, Ed. Niederreiter, H. and
            Spanier, J., Springer 2000,
            http://www.math.sci.hiroshima-u.ac.jp/%7Em-mat/MT/DC/dc.html.

         [NAG]
            NAG Numerical Libraries.
            http://www.nag.co.uk/numeric/numerical_libraries.asp

         [Saito08]
            Saito, M., and Matsumoto, M. *SIMD-oriented Fast Mersenne
            Twister: a 128-bit Pseudorandom Number Generator*. Monte
            Carlo and Quasi-Monte Carlo Methods 2006, Springer, Pages
            607 – 622, 2008.


            http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/ARTICLES/earticles.html

         [Salmon11]
            Salmon, John K., Morales, Mark A., Dror, Ron O., and Shaw,
            David E., *Parallel Random Numbers: As Easy as 1, 2, 3*. SC
            '11 Proceedings of 2011 International Conference for High
            Performance Computing, Networking, Storage and Analysis,
            2011.

         [Sobol76]
            Sobol, I.M., and Levitan, Yu.L. *The production of points
            uniformly distributed in a multidimensional cube*. Preprint
            40, Institute of Applied Mathematics, USSR Academy of
            Sciences, 1976 (In Russian).

         [MT2203]
            http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/emt19937ar.html.

         [FIPS-197]
            Federal Information Processing Standards Publication 197, ADVANCED ENCRYPTION STANDARD (AES)

         [pcg2014]
            Melissa E. O'Neill. PCG: A Family of Simple Fast Space-Efficient Statistically 
            Good Algorithms for Random Number Generation.


            https://www.cs.hmc.edu/tr/hmc-cs-2014-0905.pdf