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Finding complex root of a function

• To: mathgroup at smc.vnet.net
• Subject: [mg66598] Finding complex root of a function
• From: "Subbu" <subbaraokommuri at gmail.com>
• Date: Mon, 22 May 2006 18:14:28 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

I have one 6th order polynomial equation(  f(y)=a1 y^6+...+a6 y
+a7==0). Actually here the problem is, Coefficients 'a1' to 'a7' are
functions of 'Gamma'. Gamma is actually a constant which we dont know
before hand.

We have to determine the value of 'Gamma' using a codition
Re[y]==0(Real part of y, where y is the one of six roots obtained if we
solve the above equation). In my problem, there is only one root out of
six roots which gives Re[y]==0 for a finite value of 'Gamma'.

How can we implement this in Mathematica ? Can anybody help?

Right now what I am doing in Take a guess of Gamma and solve the
equation f(y)==0 and conntinue the procedure until we hit Re[y]=0. As
this process is taking long time since I need more accurate value of
'Gamma' and I have to repeat this same procedure for lot of parameters!

Thank you.