@InProceedings{KumarBasu90, title = "{A}n efficient global convergence detection scheme for parallel algorithms on transputer network", author= "Kumar, K. G. and Basu, A. and Srinivas, S. and Paulraj, A.", editor= "Turner, Stephen J.", pages = "68--79", booktitle= "{OUG}-12: {T}ools and {T}echniques for {T}ransputer {A}pplications", isbn= "90 5199 029 4", year= "1990", month= "mar", abstract= "The paper discusses a novel and efficient scheme for the detection of global convergence in parallel iterative algorithms. Convergence information is maintained as processes which execute concurrently with computations of the algorithm and exploit the asynchrony inherent in the progress of most executions of such algorithms towards global convergence. The scheme treats messages signalling convergence as having a lower priority as compared to those signalling non-convergence. It minimizes the waiting time at the end of iterations for convergence related communications. Analytical results indicate that the global convergence detection scheme proposed in this paper is faster than the methods proposed earlier [3]. The scheme is particularly suited for implementation on Transputer based parallel machines. An OCCAM implementation of the scheme on a torus of Transputers is described together with a method for experimental verification of the analytical results." }