Fault-tolerant parallel matrix multiplication with one iteration fault detection latency

A new algorithm, the ID algorithm, is presented which minimizes the fault-detection latency. In the ID algorithm, a fault is detected as soon as the fault occurs instead of at problem termination. For n ² processors, the fault-latency time of the ID algorithm is 1/n of that of the checksum algorithm with a run-time penalty of O(n log₂ n) in an n ×n matrix operation. This algorithm has better performance in terms of error coverage and expected run time in large-scale matrix multiplications such as signal and image processing, weather prediction, and finite-element analysis