Vekua, N. P.; Meunargiya, O. V. On factorization of some matrix-functions. (Russian) Zbl 0709.15012 Tr. Tbilis. Mat. Inst. Razmadze 88, 69-74 (1989). For a contour L in the complex plane the authors solve the Hilbert problem: Find a piecewise holomorphic vector \(\Phi\) (z) with a non- essential singularity at infinity such that \(\Phi^+(t)=(zE-A)\Phi^{- 1}(t),\quad t\in L.\) The canonical Jordan form of A is exploited. One part of the eigenvalues has to lie inside L, the other part outside of it. Reviewer: J.de Graaf Cited in 1 Document MSC: 15A23 Factorization of matrices 15A54 Matrices over function rings in one or more variables 30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane Keywords:factorization; matrix-functions; Hilbert problem; canonical Jordan form PDFBibTeX XMLCite \textit{N. P. Vekua} and \textit{O. V. Meunargiya}, Proc. A. Razmadze Math. Inst. 88, 69--74 (1989; Zbl 0709.15012)