EIGENPAIRS OF SYMMETRIC MATRICES USING THE QUADRATIC METHOD AND THE METHOD OF SUBDEFINITE CALCULATIONS

Abstract

This paper is concerned with the calculation of the eigenpairs of real symmetric matrices. A new method based on using the quadratic method along with the method of subdefinite calculations is presented. The quadratic method consists on solving a quadratic system whose solutions are obtained using the method of subdefinite calculations. Both methods are presented and numerical results are given.