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Fundamentalnaya i Prikladnaya Matematika, 2019, Volume 22, Issue 4, Pages 253–262 (Mi fpm1828)  
Randomness and complexity in matrix groups

V. Shpilrain

Department of Mathematics, The City College of New York, New York, NY 10031
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Abstract: We reflect on how to define the complexity of a matrix and how to sample a random invertible matrix. We also discuss a related issue of complexity of algorithms in matrix groups.
Funding agency Grant number
National Science Foundation CNS-1117675
Office of Naval Research N000141512164
Research of the author was partially supported by the NSF grant CNS-1117675 and by the ONR (Office of Naval Research) grant N000141512164.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 257, Issue 6, Pages 919–925
DOI: https://doi.org/10.1007/s10958-021-05531-y
Document Type: Article
UDC: 512.52+512.544.6+512.643.8
Language: Russian
Citation: V. Shpilrain, “Randomness and complexity in matrix groups”, Fundam. Prikl. Mat., 22:4 (2019), 253–262; J. Math. Sci., 257:6 (2021), 919–925
Citation in format AMSBIB
\Bibitem{Shp19}
\by V.~Shpilrain
\paper Randomness and complexity in matrix groups
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 4
\pages 253--262
\mathnet{http://mi.mathnet.ru/fpm1828}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 257
\issue 6
\pages 919--925
\crossref{https://doi.org/10.1007/s10958-021-05531-y}
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