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• Journal of the Korean Mathematical Society
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• Communications for Statistical Applications and Methods
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The eigenvalues of matrix behave asymptotically like the eigenvalues of Toeplitz matrix.

• East Asian mathematical journal
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• 2006

A convergence behavior is under investigation near a simple real zero for the k-fold pseudo-Olver's method defined by extending the classical Olver's method. The order of convergence is shown to be at least k+3. The asymptotic error constant is explicitly given in terms of k and the corresponding simple zero. Various numerical examples with a proposed zero-finding algorithm are successfully confirmed with the use of symbolic and computational ability of Mathematica.