Improving Numerical Libraries.

The increasing availability of advanced-architecture computers has a significant effect on all spheres of scientific computation, including algorithm research and software development in numerical linear algebra Linear algebra -in particular, the solution of linear systems of equations- lies at the heart of most calculations in scientific computing. Much of the work in developing linear algebra software for advanced-architecture computers is motivated by the need to solve large problems on the fastest computers available For the past 10 years there has been a great deal of activity in the area of algorithms and software for solving linear algebra problems. The goal of achieving high performance on codes that are portablxe across platforms has largely been realized by the identification of linear algebra kernels, the Basic Linear Algebra Subprograms (BLAS). This paper discusses some of the developments in numerical libraries design. [ABSTRACT FROM AUTHOR]