The EISPACK eigen system package as documented in the first edition of this guide has expanded in both depth and breadth in its second release. A set of subroutines affording additional variants for the six problem classes encompassed in the first release has been added. Another set of additional subroutines has extended the applicability of EISPACK to new problem classes; prominent among these are the real symmetric band standard eigenproblem, the symmetric and non-symmetric real generalized eigenproblems, and the singular value decomposition of an arbitrary matrix. The EISPAC control program has also been extended to include most of the newer capability afforded by the additional subroutines in the package. However, except for the documentation of the EISPAC control program, the scope of this edition of the guide is still limited to the original six problem classes and therefore includes additionally only the first of the two sets of newer subroutines added to EISPACK. Restricting the scope in this manner has markedly reduced both the time otherwise required to produce the book and its potential size. It has also enabled timely updating of the listings and documents of those earlier subroutines that have been improved in this release. A subsequent volume in this series is planned that will include the other new subroutines and cover the additional problem classes that can now be handled by the package.

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