On distinguished solutions of truncated matricial Hamburger moment problems
The main purpose of this article is the study of two slightly different versions of the truncated matricial Hamburger moment problem. The authors investigate some distinguished solutions of these problems. These solutions are nonnegative Hermitian matricial Borel measures on the real axis, concentrated on a finite number of points, which can be explicitly described in terms of the given data. The authors' approach is based on the use of particular matrix polynomials, which are generalizations of the monic orthogonal matrix polynomials associated with a positive Hermitian block Hankel matrix.
truncated matricial Hamburger moment problem
nonnegative Hermitian block Hankel matrices
scientific article; zbMATH DE number 5659747