Re: Solve Limitations

*To*: mathgroup at smc.vnet.net*Subject*: [mg63222] Re: Solve Limitations*From*: Paul Abbott <paul at physics.uwa.edu.au>*Date*: Mon, 19 Dec 2005 07:01:31 -0500 (EST)*Organization*: The University of Western Australia*References*: <IRGQVT$2C607F9DAA7468FE284C86E7560B5F2C@bol.com.br> <A67108E9-A365-40E5-856F-610C5E0BAEF1@mimuw.edu.pl> <200512140936.EAA02453@smc.vnet.net> <dnrcfl$khv$1@smc.vnet.net> <200512161222.HAA15821@smc.vnet.net> <do0lb9$415$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

In article <do0lb9$415$1 at smc.vnet.net>, Pratik Desai <pdesai1 at umbc.edu> wrote: > >In article <dnrcfl$khv$1 at smc.vnet.net>, Pratik Desai <pdesai1 at umbc.edu> > >wrote: > > > >>To state the obvious, in general roots of analytic functions are hard to > >>find. I had the misfoutune to come across a nasty complex trancendental > >>equation. I found this Fortran Code ZEAL (Zeros of Analytic Functions) > >>quite invaluable. Needless to say, Solve, Reduce did not help much. > >>http://cpc.cs.qub.ac.uk/summaries/ADKW_v1_0.html > >> > >>A Mathematica implimentation of this software would come a long way in > >>helping us poor engineers deal with such trancendental equations. The > >>system that I was dealing with has obvious practical significance, the > >>only hinderance being the lack of tools such as root solvers such as > >>ZEAL. Any takers?? > >> > >>PS: Zeal not only can find the zeros of f(z) but also gives one the > >>values for f(z) with high degre of precision > > > >Have a look at the RootSearch package by Ted Ersek: > > > > http://library.wolfram.com/infocenter/MathSource/4482/ > > > > > Thanks Paul > I did try it out once. But I was under the impression it only dealt with > algebraics and reals, not analytic functions? You are correct. In TMJ 6.1, Stan Wagon wrote a note about using ContourPlot to find the roots of two equations in two unknowns over a rectangular interval. This could be used to find the roots of analytic functions. See http://physics.uwa.edu.au/pub/Mathematica/MathGroup/RectangularRoots.nb Cheers, Paul _______________________________________________________________________ Paul Abbott Phone: 61 8 6488 2734 School of Physics, M013 Fax: +61 8 6488 1014 The University of Western Australia (CRICOS Provider No 00126G) AUSTRALIA http://physics.uwa.edu.au/~paul

**References**:**Re: Re: Solve Limitations***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>

**Re: Solve Limitations***From:*Paul Abbott <paul@physics.uwa.edu.au>