Geodesic
A Factorization Method for Products of Holomorphic Matrix Functions
Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 212-228.

Voir la notice de l'article provenant de la source Math-Net.Ru

A class of matrix functions defined on a contour which bounds a finitely connected domain in the complex plane is considered. It is assumed that each matrix function in this class can be explicitly represented as a product of two matrix functions holomorphic in the outer and the inner part of the contour, respectively. The problem of factoring matrix functions in the class under consideration is studied. A constructive method reducing the factorization problem to finitely many explicitly written systems of linear algebraic equations is proposed. In particular, explicit formulas for partial indices are obtained.
Keywords: matrix function, factorization, partial index. 
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A. G. Kamalian. A Factorization Method for Products of Holomorphic Matrix Functions. Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 212-228. http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a2/

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