• POWER METHOD AND ITS CONVERGENCE  FOR APPROXIMATING DOMINANT EIGENVALUE AND ITS CORRESPONDING EIGENVECTOR

Alanur Hussain Laskar; Samira Behera*, India.

• POWER METHOD AND ITS CONVERGENCE FOR APPROXIMATING DOMINANT EIGENVALUE AND ITS CORRESPONDING EIGENVECTOR

Alanur Hussain Laskar, Samira Behera*, India.

Abstract

In this study, we examine power method for computing the dominant eigenvalue and its corresponding eigenvector of real square matrices. We produced an improvement in the convergence of power method. Our work is based on choosing of initial vector in power method for acceleration purpose. Finally, some examples are presented to illustrate the method and results discussed.

Keywords

Dominant eigenvalue, power method, convergence of power method.

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