Parallel median splitting and k-splitting with application to merging and sorting

Multiple-instruction multiple-data (MIMD) algorithms that use multiple processors to do median splitting, k-splitting and parallel splitting into t equal sections are presented. Both concurrent read, exclusive write (CREW) and exclusive read, exclusive write (EREW) versions of the algorithms are given. It is shown that a k-splitting problem can be easily converted into a median-splitting problem. Methods for finding multiple split points quickly and application of k-splitting to merging and sorting are discussed