In recent years there has been great interest in large scale and real-time matrix computations; these computations arise in a variety of fields, such as computer graphics, imaging, speech and image processing, telecommunication, biomedical signal processing, optimization and so on. This volume, which is an outgrowth of a NATO ASI, held at Leuven, Belgium, August 1992, gives an account of recent research advances in numerical techniques used in large scale and real-time computations and their implementation on high performance computers. For anyone interested in any of these disciplines, this collection of papers is invaluable and provides state-of-the-art expositions as well as new and important trends and directions for the future, motivated and illustrated by a wealth of scientific and engineering applications.