The centro-invertible matrix: a new type of matrix arising in pseudo-random number generation

DOI10.1016/j.laa.2010.08.011zbMath1201.15016OpenAlexW2073279999MaRDI QIDQ609488

Roy S. Wikramaratna

Publication date: 1 December 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.08.011

zbMATH Keywords

modular arithmeticcentro-invertible matrixinvolutorypseudo-random number generation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Random number generation in numerical analysis (65C10) Matrices of integers (15B36)

Related Items (3)

Algorithms for solving the inverse problem associated with \(KAK=A^{s+1}\) ⋮ Further results on generalized centro-invertible matrices ⋮ Generalized centro-invertible matrices with applications

Uses Software

• mftoolbox

Cites Work

• Theoretical and empirical convergence results for additive congruential random number generators
• The additive congruential random number generator -- a special case of a multiple recursive generator
• ACORN - A new method for generating sequences of uniformly distributed pseudo-random numbers
• Automorphisms of Abelian groups induced by involutory matrices, general modulus
• The Matrix Equation X 2 - I = 0 Over a Finite Field
• ON THE KEYSPACE OF THE HILL CIPHER
• Functions of Matrices
• The Matrix Congruence X 2 ≡I (mod p a )

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