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From: John on 24 Jul 2010 06:02
Torsten Hennig <Torsten.Hennig(a)umsicht.fhg.de> wrote in message <1580602684.28912.1279705562267.JavaMail.root(a)gallium.mathforum.org>...
> > I have two bivariate polynomials f(x,y) and g(x,y)
> > and I want to find all values of x and y for which
> > f(x,y)=g(x,y)=0 simultaneously.
> > The problem is that the coefficients of each terms
> > are complex numbers.
> > Of course the theoretical solutions are existed.
> > I need to get a code for solving this problem.
> > I need help....
>
> Take a look at
> http://plato.asu.edu/sub/zero.html
> especially the multi-variable codes
> HOMPACK, HOMPACK90, POLSYS_PLP, PHoM and
> TOMS/795 (PHCPACK).
>
> Best wishes
> Torsten.

Thanks Torsten
My problem is as follows:
I solved polyX=0 and polyY=0 simultaneously using maple.
But I want to resolve this problem w/o symbolic operation like maple.
That is why I posted my problem here and asked help.

%from Maple
%polyX := 2.0000000000000004440892098500626+(.13237573108037739566533730339870-.65210129652545412159980742217158*i)*z*w+(.30806374124113239387767748667102+.13044142783260509466103371778445*i)*z^2*w^2+(.13237573108037739566533730339870+.65210129652545412159980742217158*i)/z/w+(.30806374124113239387767748667102-.13044142783260509466103371778445*i)/z^2/w^2
%polyY := 1.9999999999999995559107901499374-(.54212801188329273749388903524959+.38679806569381497416415527368372*i)/z*w-(.10865801224618933107368690116346+.31583072912242760033052491053240*i)/z^2*w^2+(-.54212801188329273749388903524959+.38679806569381497416415527368372*i)*z/w+(-.10865801224618933107368690116346+.31583072912242760033052491053240*i)*z^2/w^2
%roots := {z = -3.1228687283313213823819269338309+2.0267283798584033308934871705953*i, w = .36638905163151171293759091829029-.92969893243351995857032873997196*i}, {w = .48382350824916764978684638232051+.19067023357383712584310276532871*i, z = -1.0547313013777047633311123285652-1.6251627527725449906547039255913*i}, {w = -1.7894879700618013740399738771467-.70523013875661939685076485177234*i, z = -1.0529550969009346778180926665126-1.6224323333553563043499635027614*i}, {w = -1.7994688523162715680005575433264-.70916356501876431865621261405813*i, z = -1.0471148064019439430701694728374-1.6134333967723634034452846684089*i}, {w = .48020485533876497605275830385377+.18924415694902419684997453702440*i, z = -1.0468426675508059707411149412125-1.6130077007237517247006574379271*i}, {z = -.84432514665868879623074083444682+.54796918554295981025643200878453*i, w =
-.36700440334196672915885923691579+.93126529185501737230642337476198*i}, {w = -.36905137308857069863484331110243+.93645943083844889770634860876760*i, z = -.83964203704973874558168700654475+.54492983539641948398358644457838*i}, {w = .98485025312498511307707550976640e-1-.24990218044452944711023593981893*i, z = -.83942411594393977100306428148629+.54478264266657174257351699575273*i}, {z = -.83823300848286791099472610264512+.54400961904476060258433139136301*i, w = 1.3649962482554790396227270125352-3.4636284821501308660447586079943*i}, {w = -.36425947356976546405839406481852+.92430009524660318934846507508304*i, z = -.83801019999489595685901742097585+.54387076896280715380803721409214*i}, {z = -.83336211668774237536118944604979+.54085415097596140530623830472873*i, w = -.36629113345046841585499712195285+.92945538579495670960679697053856*i}, {w =
1.8025027512069842292502794154944+.71034915569485656873625768425625*i, z = -.28310847134688910240010643008112-.43622232698162261221635619415989*i}, {w = -.48101264828512292265944572342381-.18956518421416982929624643935216*i, z = -.28303331911649843038026569304891-.43610825352668854227849910913775*i}, {w = -.48369549985259051074273052005440-.19062248541699559532931499288400*i, z = -.28146345463756764686515655890719-.43368934801295893701923059063726*i}, {w = 1.7890213231336198315488296497532+.70503625337442307843799268096435*i, z = -.28099102298745247786988452229882-.43295969677411782608143101578505*i}, {w = .36690968101336247074296400573432-.93102001061078758822022706201518*i, z = -.22531622790201006451706330973843+.14622926330164933777965751750844*i}, {z = .22531622790201006451706330973843-.14622926330164933777965751750844*i, w =
-.36690968101336247074296400573432+.93102001061078758822022706201518*i}, {z = .28099102298745247786988452229882+.43295969677411782608143101578505*i, w = -1.7890213231336198315488296497532-.70503625337442307843799268096435*i}, {z = .28146345463756764686515655890719+.43368934801295893701923059063726*i, w = .48369549985259051074273052005440+.19062248541699559532931499288400*i}, {z = .28303331911649843038026569304891+.43610825352668854227849910913775*i, w = .48101264828512292265944572342381+.18956518421416982929624643935216*i}, {w = -1.8025027512069842292502794154944-.71034915569485656873625768425625*i, z = .28310847134688910240010643008112+.43622232698162261221635619415989*i}, {w = .36629113345046841585499712195285-.92945538579495670960679697053856*i, z = .83336211668774237536118944604979-.54085415097596140530623830472873*i}, {z =
..83801019999489595685901742097585-.54387076896280715380803721409214*i, w = .36425947356976546405839406481852-.92430009524660318934846507508304*i}, {w = -1.3649962482554790396227270125352+3.4636284821501308660447586079943*i, z = .83823300848286791099472610264512-.54400961904476060258433139136301*i}, {w = -.98485025312498511307707550976640e-1+.24990218044452944711023593981893*i, z = .83942411594393977100306428148629-.54478264266657174257351699575273*i}, {z = .83964203704973874558168700654475-.54492983539641948398358644457838*i, w = .36905137308857069863484331110243-.93645943083844889770634860876760*i}, {z = .84432514665868879623074083444682-.54796918554295981025643200878453*i, w = .3670044033419667%2915885923691579-.93126529185501737230642337476198*i}, {z = 1.0468426675508059707411149412125+1.6130077007237517247006574379271*i, w =
-.48020485533876497605275830385377-.18924415694902419684997453702440*i}, {z = 1.0471148064019439430701694728374+1.6134333967723634034452846684089*i, w = 1.7994688523162715680005575433264+.70916356501876431865621261405813*i}, {w = 1.7894879700618013740399738771467+.70523013875661939685076485177234*i, z = 1.0529550969009346778180926665126+1.6224323333553563043499635027614*i}, {z = 1.0547313013777047633311123285652+1.6251627527725449906547039255913*i, w = -.48382350824916764978684638232051-.19067023357383712584310276532871*i}, {w = -.36638905163151171293759091829029+.92969893243351995857032873997196*i, z = 3.1228687283313213823819269338309-2.0267283798584033308934871705953*i}
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