Toda Molecule Equation and Quotient-Difference Method

Kiyoshi Sogo · Journal of the Physical Society of Japan · 1993

The numerical algorithm for computing eigenvalues of a given matrix using the Toda molecule equation, suggested recently by Hirota, Tsujimoto and Imai, is shown to be equivalent to the quotient-difference method. This relation, convergence of the algorithm and extension to a much wider range of matrices are described.

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