Numerical Methods نس ...

Introduction. This chapter focuses on the fundamental techniques for calculating eigenvalues and eigenvectors of matrices. Eigenvalues and eigenvectors are crucial in various fields of mathematics, physics, and engineering. The chapter begins by discussing methods for localizing eigenvalues, including analytical calculations and numerical techniques. It then delves into the power method, a widely used iterative algorithm for computing the dominant eigenvalue and corresponding eigenvector of a matrix.