Jacobi’s Method for Skew-Symmetric Matrices
Derek Hacon · SIAM Journal on Matrix Analysis and Applications · 1993
A Jacobi-type method is given for reducing real skew-symmetric matrices to real Schur form. $4 \times 4$ rotations are used to reduce the “off diagonal” part of the matrix. Asymptotic quadratic convergence is established for the special cyclic method, provided the eigenvalues are distinct.