MATCOMP: A Program to Interact with Two Linear Algebra Packages

Abstract

This SIP is the culmination of two separate projects: a programming project, and a research project. The programming project involved developing a program that interacts with two matrix computation packages, LINPACK and EISPACK. LINPACK is a package developed to perform linear algebraic computations on a matrix. (1) EISPACK performs computations to calculate the eigenvalues and eigenvectors of a matrix. (4) This program was developed for beginning linear algebra students to use. This project is discussed more completely in Section I and appendices A - E. The research project involved proving EISPACK's path for finding eigenvalues of a real general matrix. This project is discussed in Section II and appendix F.