In practice, the problem of finding eigenvalues of a matrix is virtually never solved by finding the roots of the characteristic polynomial. This is difficult for large matrices and iterative methods ...In practice, the problem of finding eigenvalues of a matrix is virtually never solved by finding the roots of the characteristic polynomial. This is difficult for large matrices and iterative methods are much better. Two such methods are described briefly in this section.
In this section, we will explore a technique called the power method that finds numerical approximations to the eigenvalues and eigenvectors of a square matrix. Generally speaking, this method is how ...In this section, we will explore a technique called the power method that finds numerical approximations to the eigenvalues and eigenvectors of a square matrix. Generally speaking, this method is how eigenvectors are found in practical computing applications.