@article{she97, author = {Jonathan R. Shewchuk}, title = {Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates}, journal = {Discrete \& Computational Geometry}, year = 1997, volume = 18, number = 3, pages = {305-363} } @article{dek71, author = {T.J. Dekker}, title = {A Floating-Point Technique for Extending the Available Precision}, journal = {Numerische Mathematik}, year = 1971, volume = 18, pages = {224-242} } @phdthesis{pri92, author = {Douglas M. Priest}, title = {On Properties of Floating Point Arithmetics: Numerical Stability and the Cost of Accurate Computations}, school = {University of California, Berkeley}, year = 1992, month = {November}, note = {Available by anonymous FTP at {\tt ftp.icsi.berkeley.edu/pub/theory/ \linebreak[0]priest-thesis.ps.Z}} } @book{knu81, author = {Donald E. Knuth}, title = {The Art of Computer Programming: Seminumerical Algorithms}, publisher = {Addison Wesley}, year = 1981, volume = 2, address = {Reading, Massachusetts} } @misc{bai-dd, author = {David H. Bailey}, title = {A Fortran-90 double-double library}, note = {Available at {\tt http://www.nersc.gov/\linebreak\~{ }dhbailey/mpdist/mpdist.html}} } @article{bai-mp, author = {David H. Bailey}, title = {A Fortran-90 based multiprecision system}, journal = {ACM Transactions on Mathematical Software}, year = 1995, volume = 21, number = 4, pages = {379-387}, note = {Software available at {\tt http://www.nersc.gov/\linebreak\~{ }dhbailey/mpdist/mpdist.html}} } @misc{cha98, author = {Siddhardtha Chatterjee}, title = {{MPFUN++}: A Multiple Precision Floating Point Computation Package in {C}++}, note = {Available at {\tt http://www.cs.unc.edu/Research/HARPOON/mpfun++/}}, year = 1998} } @article{bai93, author = {David H. Bailey and Robert Krasny and Richard Pelz}, title = {Multiple Precision, Multiple Processor Vortex Sheet Roll-Up Computation}, journal = {Proc. Sixth SIAM Conference on Parallel Processing for Scientific Computing}, year = 1993, pages = {52-56} } @MISC{kbriggs97, AUTHOR = {Briggs, K.}, TITLE = {Doubledouble Floating Point Arithmetic}, HOWPUBLISHED = {{\tt http://www-epidem.plantsci.cam.ac.uk\linebreak[0] /$\sim$kbriggs/doubledouble.html}}, YEAR = {1998} } @ARTICLE{brent, AUTHOR = {R. Brent}, TITLE = {A {Fortran} Multiple Precision Arithmetic Package}, JOURNAL = {{ACM} Trans. Math. Soft.}, YEAR = {1978}, VOLUME = {4}, PAGES = {57--70}} @TECHREPORT{hida00, AUTHOR = {Yozo Hida and Xiaoye S. Li and David H. Bailey}, TITLE = {Quad-Double Arithmetic: Algorithms, Implementation, and Application}, INSTITUTION = {Lawrence Berkeley National Laboratory}, note = {Available at {\tt http://www.nersc.gov/\~{ }dhbailey/mpdist/mpdist.html}}, YEAR = {2000}, MONTH = {October}, ADDRESS = {Berkeley, CA 94720}, NUMBER = {LBNL-46996} } @misc{gnu-mp, key = {gmp}, title = {{GMP}}, note = {{\tt http://www.swox.com/gmp/}} } % pgs. 282-283, 292-297, 635-636, 675-677. @book{c++, author = {Bjarne Stroustrup}, title = {The C++ Programming Language}, publisher = {Addison Wesley}, year = 1997, address = {Reading Massachusetts} }