Geodesic
To solving problems of algebra for two-parameter matrices. 2
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXI, Tome 359 (2008), pp. 150-165 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper continues the development and study of the $\Delta W$-2 method (a rank-factorization method) for solving problems for two-parameter matrices with polynomial and rational dependence on the parameters. New types of rank factorizations are suggested, along with the corresponding algorithms. Applications to solving the following problems are considered: computing irreducible factorizations of certain two-parameter rational matrices; computing the hereditary (invariant) polynomials; constructing free bases of the null-spaces of polynomial solutions of a two-parameter matrix; computing adjoint matrices, and inverting unimodular matrices. Bibl. – 4 titles. 
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V. N. Kublanovskaya. To solving problems of algebra for two-parameter matrices. 2. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXI, Tome 359 (2008), pp. 150-165. http://geodesic.mathdoc.fr/item/ZNSL_2008_359_a11/

[1] V. N. Kublanovskaya, “Reshenie zadach algebry dlya dvukhparametrichkikh matrits. 1”, Zap. nauchn. semin. POMI, 359, POMI, SPb., 2008, 107–149 | MR

[2] V. N. Kublanovskaya, “Metody i algoritmy resheniya spektralnykh zadach dlya polinomialnykh i ratsionalnykh matrits”, Zap. nauchn. semin. POMI, 238, POMI, SPb., 1997, 7–328 | MR | Zbl

[3] V. N. Kublanovskaya, “K resheniyu mnogoparametricheskikh zadach algebry. 4. $AB$-algoritm i ego primeneniya”, Zap. nauchn. semin. POMI, 309, POMI, SPb., 2004, 127–143 | MR | Zbl

[4] V. N. Kublanovskaya, “K resheniyu mnogoparametricheskikh zadach algebry. 5. Algoritm $\nabla V$-$q$ faktorizatsii i ego primeneniya”, Zap. nauchn. semin. POMI, 309, POMI, SPb., 2004, 144–153 | MR | Zbl