Iterative Methods for Computing Eigen valuesand Eigen vectors with an Improved

One of the oldest techniques for solving eigenvalue problems is the so-colled power method. In this study, we examine some numerical iterative methods for computing the eigenvalues and eigenvectors of real matrices. The two methods examined here range from the simple power iteration method, and we produced an improvement in the convergence of them. Our work is based on choosing of initial vector in iterative methods for acceleration purpose. Finally, some examples are presented to illustrate the method and results discussed.