1 Numerical determination of eigenvalues and eigenvectors

  1.1 Preliminaries

  1.2 The power method

  1.3 Problems with the power method

  1.4 Advantages of the power method

  1.5 Finding eigenvalues other than the dominant

   1.5.1 Obtaining the smallest magnitude eigenvalue

   1.5.2 Obtaining the eigenvalue closest to a given number $p$

   1.5.3 Obtaining all the eigenvalues of a large order matrix