Análise numérica para busca de autovalores

Abstract

This work examines five numerical iterative methods for computing the eigenvalues and eigenvectors of matrices: Power Method, Rayleigh Quotient, QR Algorithm, Divide and Conquer and Jacobi Method. The derivations, procedure, and advantages of each method are briefly discussed and compared. A model for the problem of population growth by age group and also a model for the problem of the natural frequency of an electrical circuit are discussed in this work. To solve the first problem, applies algorithms developed for use in non-symmetric matrices, now for the second problem using algorithms developed for use in symmetric matrices.