## About the factorization of rational matrix-functions

**Juan Carlos Sánchez Rodríguez**

In the beginning of XX century Plemelj introduce the notion of factorization of matrix-functions. This problem finds applications in many fields like diffraction theory, the theory of differential equations and the theory of singular integral operators.

However only for a few classes of matrices is known the explicit formulas for the factors of the factorization. In our talk we show a new method to obtain a factorization of rational matrix-functions, relative to a unit circle.