Geodesic
On the reduction of a Hamiltonian matrix to Hamiltonian Schur form
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 141-157
Recently Chu, Liu, and Mehrmann developed an structure preserving method for computing $\textcent $###$\sterling $########$\ddot $§$\copyright $the Hamiltonian real Schur form of a Hamiltonian matrix. This paper outlines an alternative derivation of the method and an alternative explanation of why the method works. Our approach places emphasis eigenvalue swapping and relies less on matrix manipulations.
Classification : 65F15, 15A18, 93B40
Keywords: Hamiltonian matrix, skew-Hamiltonian matrix, stable invariant subspace, real Schur form 
@article{ETNA_2006__23__a10,
     author = {Watkins,  David S.},
     title = {On the reduction of a {Hamiltonian} matrix to {Hamiltonian} {Schur} form},
     journal = {Electronic transactions on numerical analysis},
     pages = {141--157},
     year = {2006},
     volume = {23},
     zbl = {1115.65049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a10/}
}
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%J Electronic transactions on numerical analysis
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Watkins,  David S. On the reduction of a Hamiltonian matrix to Hamiltonian Schur form. Electronic transactions on numerical analysis, Tome 23 (2006), pp. 141-157. http://geodesic.mathdoc.fr/item/ETNA_2006__23__a10/