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\iteman{io-port 01021230}
\itemau{Ghosh, Nilotpal; Hager, William W.; Sarmah, Purandar}
\itemti{The application of eigenpair stability to block diagonalization.}
\itemso{SIAM J. Numer. Anal. 34, No.3, 1255-1268 (1997).}
\itemab
Summary: An algorithm presented in {\it W. W. Hager} [Comput. Math. Appl. 14, 561-572 (1987; Zbl 0633.65038)]\ for diagonalizing a matrix is generalized to a block matrix setting. It is shown that the resulting algorithm is locally quadratically convergent. A global convergence proof is given for matrices with separated eigenvalues and with relatively small off-diagonal elements. Numerical examples along with comparisons to the QR method are presented.
\itemrv{~}
\itemcc{}
\itemut{block diagonalization; eigenpair stability; eigenvalues; eigenvectors; algorithm; convergence; numerical examples}
\itemli{doi:10.1137/S0036142995261252}
\end