Approximate Factorization for One Class of Second-Order Matrix Functions

Abstract

Approximate factorization of Holder matrix function on a simple smooth closed contour has been defined. Components for one class of the 2×2 matrix function have been approximated by polynomials in z and 1/ z. Sufficient conditions have been found for zero equality of the partial indices of the approximating matrix function. Factorization of the approximating matrix function has been constructed in an explicit form.

Keywords

• matrix function
• factorization
• approximate factorization