On the cubic convergence of the Paardekooper method
A Jacobi eigenvalue algorithm, that transforms a real skew-symmetric matrix into Murnaghan form with 2 by 2 blocks in the diagonal, given by \textit{M. H. C. Paardekooper} [Numer. Math. 17, 189-202 (1971; Zbl 0228.65031)] can be reordered in the fashion of \textit{W. F. Mascarenhas} [SIMAX 16, 1197-1209 (1995)], and then have a rate of convergence that is faster than quadratic.
scientific article; zbMATH DE number 773826
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