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hi there,

my problem with gpu is the limited floating point precision ... but sure, for the first few ( 40 ? ) iterations it would be sufficent to use a gpu system

for opencl i can say, it is the "open" standard for gpu programming,and should be used ( nor ati or nvidia proprietary )

functionality like big images rendering has nothing to do with the underlying system, because it is a virtualisation your program has to do,
and which shouldnt be too hard, there are a lot of tutorials on how to divide a single render job to many smallers ....

in the last years, texture size was limited to 4096x4096 and hence the output, but nowadays it could be that it is a bit higher ...

so, what you need is to define a virtually image size, and a renderer which renders block by block ( e.g. 64x64 squares ) on the gpu,
save the result in cpu memory, and build up a large bitmap, that can then be saved in standard image formats....