Power Iteration

In mathematics, the power iteration is an eigenvalue algorithm: given a matrix A, the algorithm will produce a number λ (the eigenvalue) and a nonzero vector v (the eigenvector), such that Av = λv. The algorithm is also known as the Von Mises iteration.

The power iteration is a very simple algorithm. It does not compute a matrix decomposition, and hence it can be used when A is a very large sparse matrix. However, it will find only one eigenvalue (the one with the greatest absolute value) and it may converge only slowly.

Read more about Power Iteration:  The Method, Analysis, Applications, See Also

Famous quotes containing the word power:

    Unionism seldom, if ever, uses such power as it has to insure better work; almost always it devotes a large part of that power to safeguarding bad work.
    —H.L. (Henry Lewis)