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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 316, Pages 163–187 (Mi znsl731)  
This article is cited in 2 scientific papers (total in 2 papers)

On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix

V. Ya. Pan

Lehman College of The City University of New York, Mathematics and Computer Science Department
Full-text PDF (289 kB) Citations (2)
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Abstract: We reexamine the Wiedemann–Coppersmith–Kaltofen–Villard algorithm for randomized computation of the determinant of integer matrices and substantially simplify and accelerate its bottleneck stage of computing the minimum generating matrix polynomial, to make the algorithm practically promising while keeping it asymptotically fast.
Received: 27.11.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 134, Issue 5, Pages 2411–2424
DOI: https://doi.org/10.1007/s10958-006-0118-6
Bibliographic databases:
UDC: 510.52+512.643.2
Language: English
Citation: V. Ya. Pan, “On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix”, Computational complexity theory. Part IX, Zap. Nauchn. Sem. POMI, 316, POMI, St. Petersburg, 2004, 163–187; J. Math. Sci. (N. Y.), 134:5 (2006), 2411–2424
Citation in format AMSBIB
\Bibitem{Pan04}
\by V.~Ya.~Pan
\paper On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix
\inbook Computational complexity theory. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 316
\pages 163--187
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl731}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2113063}
\zmath{https://zbmath.org/?q=an:1075.65066}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 134
\issue 5
\pages 2411--2424
\crossref{https://doi.org/10.1007/s10958-006-0118-6}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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