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stop when not converge
Posted:
Jun 18, 1997 10:20 PM


How to stop Mma when iterations are not converging?
For example, I want to increase x in the function f[x,y] until the value of y solved from FindRoot[ f[x,y]==0, ...] is not a real number OR FindRoot does not converge. More specificly, I tried to do something like the following:
g[x_,yIni_] := FindRoot[ f[x_,y_]==0, {y,yIni} ][[1,2]];
(* the Part at the end of the expression is to take out the solution of y *)
m=0; xV0=1; yV0=2; (* or something like that *)
While[ tem = g[xV0+m, yV0]; Im[tem]==0 && the_findroot_do_converge, m=m+0.01 ];
( The Im[tem] is to test whether the solution of y is a real number.) So the problem I have is how to specify the condition for "the_findroot_do_converge", or, maybe more easily, "the_findroot_donot_converge"? I want it stops when not converging even though it may return a real number.
Thank you in advance for any suggestion.
 H.J. Wang



