On the multiple Nevanlinna-Pick interpolation problems in some matrix-valued function classes

Someintrinsicone-to-onecorrespondencesbetweenthesolutionstothemultipleNevanl- inna-Pick interpolation problems and the solutions to the associated truncated power/trigonometric moment problems are established. The solvability criteria for the interpolation problems are given. The method used in the paper is the so-called Hankel/Toeplitz block-vector approach.