AN ITERATIVE METHOD TO SOLVE THE ALGEBRAIC EIGENVALUE PROBLEM

An iterative method based on perturbation theory in matrix form is des cribed as a procedure to obtain the eigenvalues and eigenvectors of sq uare matrices. Practical vector notation and elementary schematic algo rithm codes are given. The particular programming characteristics of t he present computational scheme are based upon eigenvector corrections , obtained through a simple Rayleigh-Schrodinger perturbation theory a lgorithm. The proposed methodological processes can be used to evaluat e the eigensystem of large matrices.