Intended Readership

We hope our templates will address the needs of three potential user communities for eigenvalue computation tools:

• Students and teachers who want simple but generally effective algorithms and would like access to the latest developments in a form that is easy to explain and to understand.

• General engineers and scientists who desire easy-to-use, reliable software that is also reasonably efficient.

• The high-performance computing community consisting of those engineers and scientists trying to solve the largest, hardest applications in their fields. Such users desire high-speed access to algorithmic details for performance tuning and to reliability for their problem.

It may seem difficult to address the needs of such diverse communities with a single document. Nevertheless, we believe that templates allow us to organize the information in ways useful to all. For example, we expect students to use the high-level algorithm descriptions to acquire a basic understanding of how the methods work. General engineers and scientists should find the decision tree and pointers to software adequate for most of their problems. Finally, the high-performance computing community can use the advice on performance tuning and assessing the accuracy of the output to help solve their hardest problems.