summaryrefslogtreecommitdiff
path: root/doc/algorithms.tex
Commit message (Expand)AuthorAgeFilesLines
* algorithms.tex: Minor changes.enge2014-01-231-6/+9
* Finished rewrite of AGM in algorithms.tex, added bibliography entry.enge2014-01-231-135/+303
* Slightly generalised error analysis for the AGM, to be continued.enge2014-01-201-20/+21
* Proofreading of the AGM analysis.enge2014-01-201-65/+72
* improve speed of asin for 1+i*y with tiny yzimmerma2013-12-241-0/+6
* [algorithms.tex] small changes about AGMzimmerma2012-10-081-5/+5
* [algorithms.tex] more work on AGMzimmerma2012-10-081-1/+36
* [algorithms.tex] improved the error analysis for agm1zimmerma2012-10-081-20/+35
* [algorithms.tex] improve the range for the error bound of mpc_sqrtzimmerma2012-10-051-0/+4
* algorithms.tex: completed analysis and algorithmic strategy for agm1enge2012-09-181-5/+32
* algorithms.tex: AGM continuedenge2012-09-171-27/+113
* algorithms.tex: error propagation of square rootenge2012-09-171-0/+33
* algorithms.tex: removed relative error for rounded addition; no need to addenge2012-09-171-15/+10
* algorithms.tex: typo, keep rounding error separate from propagated errorenge2012-09-171-1/+1
* algorithms.tex: factored out proposition "comrelround"enge2012-09-171-24/+45
* algorithms.tex: added complex relative error for addition in same quadrantenge2012-09-171-0/+62
* algorithms.tex: layoutenge2012-09-171-5/+10
* algorithms.tex: replaced AGM lemma by corollary in section "complex relativeenge2012-09-171-18/+16
* algorithms.tex: rewritten agm part using macros \corr{} and \appro{}enge2012-09-171-10/+10
* [algorithms.tex] added error analysis for AGM (to be reviewed)zimmerma2012-09-051-0/+43
* log: alternative implementation that avoids intermediate overflowsenge2012-06-281-1/+33
* rootsofunity: use mean value theorem for analysis (suggested by Damien Robert)enge2012-06-271-14/+9
* algorithms.tex: propagation error of real sin and cosenge2012-06-271-1/+37
* unified computation of pow_ui and pow_si in a function pow_usi, therebyenge2010-06-171-1/+1
* algorithms.tex: another version of mpc_pow_si, using Paul'senge2010-06-171-22/+33
* algorithms.tex: analysis for mpc_pow_sienge2010-06-171-9/+28
* algorithms.tex: small changes to prepare for mpc_pow_sienge2010-06-171-12/+14
* algorithms.tex: removed assumption on "same quadrant" when applying Prop. 9,enge2010-06-161-5/+3
* [algorithms.tex] error analysis for mpc_pow_sizimmerma2010-05-151-4/+12
* [algorithms.tex] fixed typozimmerma2010-05-151-1/+1
* algorithms.tex:enge2010-03-301-6/+6
* [src/pow_ui.c] implemented binary exponentiation (with fallback to mpc_powzimmerma2010-03-301-0/+17
* algorithms.tex:enge2010-03-301-81/+80
* algorithms.tex:enge2010-03-271-46/+43
* [algorithms.tex] added Maple code to support claimed boundzimmerma2010-03-111-0/+21
* [algorithms.tex] added error analysis for pow_uizimmerma2010-03-111-0/+29
* [algorithms.tex] review of Philippe Theveny's work on sign of zeroes for powzimmerma2009-08-251-58/+61
* doc/algorithms.tex: fix errors and typos.thevenyp2009-07-291-66/+90
* doc/algorithms.tex: Finish enumeration of cases where the sign of the zero pa...thevenyp2009-07-241-206/+391
* doc/algorithms.tex: Analyse cases where Re(x^y)>0 and Im(x^y) = 0.thevenyp2009-07-161-1/+185
* [pow.c] more work on cases with sign of zero as input/outputzimmerma2009-06-261-0/+29
* algorithms.tex: corrected small error in mpc_sqrtenge2009-06-181-2/+2
* algorithms.tex:enge2009-06-171-6/+36
* algorithms.tex: finished error analysis of divisionenge2009-06-171-100/+100
* algorithms.tex: added complex relative error analysis to multiplicationenge2009-06-171-10/+33
* algorithms.tex: added converse estimation for real errorsenge2009-06-171-7/+25
* added paragraph on complex relative errorenge2009-06-171-4/+71
* alorithms.tex: added relative errors for normenge2009-06-111-19/+49
* algorithms.tex: added second error bound for normenge2009-06-111-3/+33
* algorithms.tex: rewritten section on real divisionenge2009-06-111-7/+53