[Scipy-tickets] [SciPy] #1207: Improve complex-valued erf accuracy

SciPy Trac scipy-tickets@scipy....
Mon Jun 21 03:39:40 CDT 2010


#1207: Improve complex-valued erf accuracy
---------------------------+------------------------------------------------
 Reporter:  pv             |       Owner:  pv         
     Type:  enhancement    |      Status:  new        
 Priority:  normal         |   Milestone:  Unscheduled
Component:  scipy.special  |     Version:  devel      
 Keywords:                 |  
---------------------------+------------------------------------------------

Comment(by pv):

 One probably needs to look into continued fractions,

     http://functions.wolfram.com/GammaBetaErf/Erf/10/01/

 Already the first one looks quite strongly convergent.

 There's also this:

     http://portal.acm.org/citation.cfm?id=77630

 in which a hybrid Taylor-continued-fraction scheme is used in the
 intermediate regime, and the continued fraction in the asymptotic regime.

-- 
Ticket URL: <http://projects.scipy.org/scipy/ticket/1207#comment:1>
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