• APPROXIMATION OF SMALLEST EIGENVALUE  AND ITS CORRESPONDING EIGENVECTOR BY POWER METHOD

Alanur Hussain Laskar; Samira Behera*

• APPROXIMATION OF SMALLEST EIGENVALUE AND ITS CORRESPONDING EIGENVECTOR BY POWER METHOD

Alanur Hussain Laskar, Samira Behera*

Abstract

Power method is normally used to determine the largest eigenvalue (in magnitude) and the corresponding eigenvector of the system . In this study, we examine power method for computing the smallest eigenvalue and its corresponding eigenvector of real square matrices. Our work is based on choosing of initial vector in power method for acceleration purpose. Finally, we illustrate the method with example and results discussed.

Keywords

Dominant eigenvalue, power method, Adjoint of a square matrix, Inverse matrix in terms of Adjoint matrix.

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