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The Lazy Hermite Reduction (1998)  (Make Corrections)  (3 citations)
Manuel Bronstein



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Abstract: The Hermite reduction is a symbolic integration technique that reduces algebraic functions to integrands having only simple affine poles [1, 2, 7]. While it is very effective in the case of simple radical extensions, its use in more general algebraic extensions requires the precomputation of an integral basis, which makes the reduction impractical for either multiple algebraic extensions or complicated ground fields. In this work, Manuel Bronstein shows that the Hermite reduction can be... (Update)

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Manuel Bronstein. The lazy hermite reduction. Manuscript, 1998. http://citeseer.ist.psu.edu/bronstein98lazy.html   More

@techreport{ bronsteindidlazy,
    author = "Manuel {Bronstein }",
    title = "The Lazy Hermite Reduction",
    number = "RR-3562",
    pages = "13 p.",
    url = "citeseer.ist.psu.edu/bronstein98lazy.html" }
Citations (may not include all citations):
11   the integration of elementary functions (context) - Manuel, On - 1990
10   Symbolic Integration I - Transcendental Functions (context) - Manuel - 1997
10   the integration of algebraic functions (context) - Barry, On - 1984
6   The Risch differential equation on an algebraic curve (context) - Manuel - 1991
2   The Risch differential equation problem (context) - James, -- - 1986
1   Calcul Symbolique des Int'egrales Hyperelliptiques (context) - Laurent - 1995

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