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Diffstat (limited to 'TODO')
-rw-r--r-- | TODO | 5 |
1 files changed, 4 insertions, 1 deletions
@@ -29,7 +29,10 @@ New functions to implement: mpc_erfc, mpc_exp2, mpc_expm1, mpc_log1p, mpc_log2, mpc_lgamma, mpc_tgamma http://lists.gforge.inria.fr/pipermail/mpc-discuss/2012-March/001090.html - from Andreas Enge and Philippe Théveny 17 July 2008 - agm (and complex logarithm with agm ?) + agm (and complex logarithm with agm ?). For the error analysis, one can + start from Theorem 1 of http://www.lix.polytechnique.fr/Labo/Regis.Dupont/preprints/Dupont_FastEvalMod.ps.gz, and probably the best is to compute AGM(a,b) + as a*AGM(1,b/a) with |b/a| <= 1. In such a way, after one step all values + are in the same quadrant, and no cancellation occurs any more. - from Andreas Enge 25 June 2009: correctly rounded roots of unity zeta_n^i - implement a root-finding algorithm using the Durand-Kerner method |