powermetoden
The power method is a fundamental algorithm in numerical linear algebra used to find the dominant eigenvalue and its corresponding eigenvector of a given square matrix. It is an iterative method that converges to the eigenvector associated with the eigenvalue of largest absolute value.
The process begins with an arbitrary non-zero vector, often referred to as the initial guess. In each
The dominant eigenvalue can be estimated by observing the scaling factor required to normalize the vector
The power method is relatively simple to implement and understand. However, its convergence rate can be slow