Reorganizing algorithms into "blocked" versions that are significantly faster on modern hardware.
In the early 1970s, the world of scientific computing was fragmented. While the Handbook for Automatic Computation by Wilkinson and Reinsch provided high-quality Algol 60 procedures for matrix computations, there was no standardized, portable, and rigorously tested library for the more widely used Fortran language. Matrix Eigensystem Routines — EISPACK Guide
It solves the standard eigenvalue problem ( ) and the generalized problem ( It solves the standard eigenvalue problem ( )
By the late 1980s, the architecture of computers had changed. The rise of cache memory and vector processors meant that the "point-to-point" memory access patterns of EISPACK were no longer optimal. This led to the development of (Linear Algebra Package). LAPACK superseded EISPACK by: LAPACK superseded EISPACK by: EISPACK was designed to
EISPACK was designed to be a "pathway" system. Users would select a specific path of subroutines based on the characteristics of their matrix and the specific data required: