% % Arbitrary precision integer arithmetic--greatest common divisor. % % Ken Weber kweber@mcs.kent.edu 12/14/94 % @string{cacm = "Communications of the {ACM}"} @string{jsc = "Journal of Symbolic Computation"} @string{ja = "Journal of Algorithms"} @string{ssb = "{SIGSAM} Bulletin"} @string{TOMS = "{ACM} Transactions on Mathematical Software"} @article { chor, author = "Benny Chor and Oded Goldreich", title = "An Improved Parallel Algorithm for Integer GCD", journal = "Algorithmica", year = 1990, volume = 5, pages = "1--10" } @inproceedings { jebelean2, author = "Tudor Jebelean", title = "A Generalization of the Binary {GCD} Algorithm", booktitle = "{ISSAC} '93: International Symposium on Symbolic and Algebraic Computation", address = "Kiev, Ukraine", month = "July", year = 1993, pages = "111--116" } @inproceedings { jebelean1, author = "Tudor Jebelean", title = "Comparing Several {GCD} Algorithms", booktitle = "{ARITH}-11: {IEEE} Symposium on Computer Arithmetic", address = "Windsor, Canada", month = "June", year = 1993, pages = "180--185" } @inproceedings { norton, author = "Graham Norton", title = "A Shift-remainder {GCD} Algorithm", booktitle = "Proceedings of the 5th International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes", year = 1987, publisher = "Springer-Verlag", editor = "L. Huguet and A. Poli", pages = "350--356", notes = "Springer-Verlag Lecture Notes In Computer Science, Number 356" } @article { sorenson-2, author = "Jonathan Sorenson", title = "Two Fast {GCD} Algorithms", pages = "110--144", journal = ja, year = 1994, volume = 16, number = 1, month = jan } @article { weber, author = "Kenneth Weber", title = "The Accelerated Integer GCD Algorithm", journal = TOMS, year = 1994, note = "To appear" } @phdthesis { kweber-thesis, author = "Kenneth Weber", title = "Parallel Integer GCD Algorithms and Their Application to Polynomial GCD", school = "Kent State University", year = 1994 }