A parallel algorithm for the generalized symmetric eigenvalue problem on a hybrid multiprocessor

We discuss the implementation of an algorithm for the generalized eigenvalue problem on a distributed-memory, hybrid multiprocessor. The basic goal is to obtain good concurrency, data reference locality, load balance and a task granularity that is consistent with the expected parallelization overhead. The implementation is based on restructured EISPACK routines using various standard high-level parallel constructs such as serieal sections, parallel do-loops, critical sections and barriers. In addition, we also consider the explicit use of dynamic task scheduling at the application level to perform the highly concurrent management of work queues. The issues related to algorithm development and performance are discussed and speedup and efficiency measurements are presented. © 1990.