Geodesic
A structured staircase algorithm for skew-symmetric/symmetric pencils
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 1-33
We present structure preserving algorithms for the numerical computation of structured staircase forms of skew-symmetric/symmetric matrix pencils along with the Kronecker indices of the associated skew-symmetric/symmetric Kronecker-like canonical form. These methods allow deflation of the singular structure and deflation of infinite eigenvalues with index greater than one. Two algorithms are proposed: one for general skew-symmetric/symmetric pencils and one for pencils in which the skew-symmetric matrix is a direct sum of and

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Classification : 65F15, 15A21, 93B40
Keywords: structured staircase form, linear-quadratic control, control, structured Kronecker canonical form, skew-symmetric/symmetric pencil, skew-Hamiltonian/Hamiltonian pencil 
@article{ETNA_2007__26__a24,
     author = {Byers,  Ralph and Mehrmann,  Volker and Xu,  Hongguo},
     title = {A structured staircase algorithm for skew-symmetric/symmetric pencils},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--33},
     year = {2007},
     volume = {26},
     zbl = {1113.65065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a24/}
}
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%F ETNA_2007__26__a24
Byers,  Ralph; Mehrmann,  Volker; Xu,  Hongguo. A structured staircase algorithm for skew-symmetric/symmetric pencils. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 1-33. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a24/