This report presents a methodology for measuring the performance of supercomputers. It includes 13 Fortran programs that total over 50,000 lines of source code. They represent applications in several areas of engi neering and scientific computing, and in many cases the codes are currently being used by computational re search and development groups. We also present the PERFECT Fortran standard, a set of guidelines that allow portability to several types of machines. Furthermore, we present some performance measures and a method ology for recording and sharing results among diverse users on different machines. The results presented in this paper should not be used to compare machines, except in a preliminary sense. Rather, they are presented to show how the methodology has been applied, and to encourage others to join us in this effort. The results should be regarded as the first step toward our objec tive, which is to develop a publicly accessible data base of performance information of this type.

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This paper gives a brief overview of the CRAY X-MP-2 general-purpose multiprocessor system and discusses how it can be used effectively to solve problems that have small granularity. An implementation is described for linear algebra algorithms that solve systems of linear equations when the matrix is general and when the matrix is symmetric and positive definite. OVERVIEW OF THE SYSTEM"Multiprocessor" is a term that has been used for years. Our definition follows those of [8], [9], and [lo].The CRAY X-MP is a follow-up to the CRAY-1S system offered by CRAY Research, Inc. The CRAY X-MP family is a general-purpose multiprocessor systeln. It inherits the basic vector functions of CRAY-lS, with major architectural improvements for each individual processor. The interprocessor communication mechanism and the provision of Solid-State Disk device(SSD) are new designs that create tremendous potential in the realm of high-speed computing.The CRAY X-MP-2 system is the first product of the CRAY X-MP family.

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