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Date: 23-4-2019
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Date: 12-10-2018
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Date: 22-8-2019
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Horowitz reduction is used in indefinite integration to reduce a rational function into polynomial and logarithmic parts. The polynomial part is then trivially integrated, while the logarithmic part can be integrated via the Rothstein-Trager method.
REFERENCES:
Bronstein, M. "Symbolic Integration Tutorial." ISSAC 1998. http://citeseer.nj.nec.com/bronstein98symbolic.html.
Gathen, J. von zur and Gerhard, J. Modern Computer Algebra. Cambridge, England: Cambridge University Press, pp. 601-606, 1999.
Geddes, K. O.; Czapor, S. R.; and Labahn, G. Algorithms for Computer Algebra. Amsterdam, Netherlands: Kluwer, 1992.
Horowitz, H. "Algorithms for Partial Fraction Decomposition and Rational Function Integration." In Proceedings of the Second ACM Symposium on Symbolic and Algebraic Manipulation, Los Angeles, California, March 23-25, 1971. pp. 441-457, 1971.
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