Proposal to Extend the Linear Algebra Library LAPACK for High-Performance Computers

LAPACK是一个用于高性能计算机的线性代数库。 第一个版本针对共享内存机器， 在1990年底，它已经吸引了大量的 来自潜在用户社区和 厂商 这项研究还涉及到 通过增加LAPACK的功能， 通过额外的线性代数能力，并通过增加 用户社区通过针对更广泛的高性能 架构，提供其他语言版本，以及 利用干净的计算机算法。 这些扩展包括在系统和控制中有用的新子程序 理论，如解决西尔维斯特方程和广义奇异 值分解，某些特征值问题的新算法， 比EISPACK中的任何算法都要精确得多， 分布式存储器架构，几个子程序的版本， 利用某些计算机算法的特殊性质（特别是 IEEE算术），以及Fortran 8X和C语言版本的一些 最重要的子程序 LAPACK包括一套全面的测试和计时例程。 这些将被用作设计和开发 常用算法的系统性能分析包， 线性代数 这个库将简化代码开发，使代码 在不同架构的机器之间更加便携， 效率，提供评估计算机性能的工具。

LAPACK is a linear algebra library for high-performance computers. The first release, targeted at shared memory machines, will be available at the end of 1990, and is already attracting significant interest both from the potential user community and from manufacturers. This research is concerned with extending still further the usefulness of LAPACK by increasing the functionality through additional linear algebra capability, and by increasing the user community through targeting a wider range of high-performance architectures, providing additional language versions, and exploiting clean computer arithmetic. The extensions include new subroutines useful in systems and control theory such as solving Sylvester equations and generalized singular value decomposition, new algorithms for certain eigenproblems which are much more accurate than any algorithms in EISPACK, accommodating distributed-memory architectures, versions of several subroutines to exploit special properties of some computer arithmetics (especially IEEE arithmetic), and Fortran 8X and C language versions of some of the most important subroutines. LAPACK includes a comprehensive set of testing and timing routines. These will be used as a basis for the design and development of a systematic performance analysis package for the common algorithms of linear algebra. This library will ease code development, make codes more portable among machines of different architectures, increase efficiency, provide tools for evaluating computer performance.