The traditional metric for the efficiency of a numerical algorithm has been the number of
arithmetic operations it performs. Technological trends have long been reducing the time to …

Since the publication of the first edition, parallel computing technology has gained
considerable momentum. A large proportion of this has come from the improvement in VLSI …

Although the origins of parallel computing go back to the last century, it was only in the
1970s that parallel and vector computers became available to the scientific community. The …

Four different communication problems are addressed in Boolean n-cube configured
multiprocessors:(1) one-to-all broadcasting: distribution of common data from a single …

In this work we review the present status of numerical methods for partial differential
equations on vector and parallel computers. A discussion of the relevant aspects of these …

Several multiprocessor FFTs are developed in this paper for both vector multiprocessors
with shared memory and the hypercube. Two FFTs for vector multiprocessors are given that …

Scientific and engineering research is becoming increasingly dependent upon the
development and implementation of efficient parallel algorithms on modern high …

A new class of modular networks is proposed for hierarchically constructing massively
parallel computer systems for distributed supercomputing and AI applications. These …

In this paper we consider different methods for exchanging data among processors in
parallel computers. The most common data exchange operations in parallel numerical …

Linear algebra algorithms based on the BLAS or ex tended BLAS do not achieve high
performance on mul tivector processors with a hierarchical memory system because of a …