Abstract
A method is presented for extracting eigenvalues and eigenvectors of a system using a combination of matrix iteration and matrix decomposition. In addition to the classical procedure for extracting eigenvalues in ascending or descending order of their magnitude, it is shown that eigenvalues can be extracted in a specified region of interest. A new technique for the simultaneous extracting of two or three close eigenvalues which may frequently occur in the neighborhood of a new origin of eigenvalues to which the computations shifted is presented.
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