Geodesic
Rational procedures in the problem of common invariant subspaces of two matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIV, Tome 268 (2000), pp. 9-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper discusses criteria of the existence of common invariant subspaces of two complex matrices verifiable in a finite number of arithmetic operations. 
@article{ZNSL_2000_268_a1,
     author = {Yu. A. Alpin and Kh. D. Ikramov},
     title = {Rational procedures in the problem of common invariant subspaces of two matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {9--23},
     year = {2000},
     volume = {268},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_268_a1/}
}
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Yu. A. Alpin; Kh. D. Ikramov. Rational procedures in the problem of common invariant subspaces of two matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIV, Tome 268 (2000), pp. 9-23. http://geodesic.mathdoc.fr/item/ZNSL_2000_268_a1/