In mathematics, power iteration is an eigenvalue algorithm: given a diagonalizable matrix A {\displaystyle A}, the algorithm will produce a number λ {\displaystyle \lambda }, which is the greatest eigenvalue of A {\displaystyle A}, and a nonzero vector v {\displaystyle v}, which is a corresponding eigenvector of λ {\displaystyle \lambda }, that is, A v = λ v {\displaystyle Av=\lambda v}. Wikipedia