Power iteration

In mathematics, the power iteration (also known as power method) is an eigenvalue algorithm: given a matrix ${\displaystyle A}$, the algorithm will produce a number ${\displaystyle \lambda }$, which is the greatest (in absolute value) eigenvalue of ${\displaystyle A}$, and a nonzero vector ${\displaystyle v}$, the corresponding eigenvector of ${\displaystyle \lambda }$, such that ${\displaystyle Av=\lambda v}$. The algorithm is also known as the Von Mises iteration.

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