Geodesic
Finite splitting algorithm for the $J$-symmetric generalized eigenvalue problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 12, pp. 1765-1774 Cet article a éte moissonné depuis la source Math-Net.Ru

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The properties of matrix pencils associated with the numerical solution of matrix Riccati equations are considered. In particular, a new notion is defined – $J$-symmetric matrix pencils – and a finite orthogonal and symplectic algorithm is proposed for such pencils, halving the order of the generalized eigenvalue problem. 
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M. S. Sagitov. Finite splitting algorithm for the $J$-symmetric generalized eigenvalue problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 12, pp. 1765-1774. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_12_a1/

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