The realization of practical optical or optoelectronic computers has been hampered by the lack of algorithms suited to optoelectronic implementation. We have chosen an algorithm that is particularly compatible with optoelectronic processors and parallel access optical memory, mapped it onto an architecture which satisfies the constraints of the hardware, and suggest an implementation which is an appropriate combination of optical and electronic technology. The proposed parallel optoelectronic implementation increases throughput by several orders of magnitude over serial implementations, facilitating the real-time solution of large problems.