单切矩阵Nevanlinna-Pick插值问题

ON SINGLE TANGENTIAL MATRIX NEVANLINNA-PICK INTERPOLATION PROBLEM

证明了单切矩阵Nevanlinna-Pick插值问题的Pick矩阵合同等价于一个块Toeplitz矩阵.利用这个结果,将求解一个单切矩阵Nevanlinna-Pick插值问题转化求解某个截断的三角矩阵值矩量问题.

This paper proves that the Pick matrix determined by the interpolation data of a single tangential matrix Nevanlinna-Pick interpolation problem is congruent and equivalent to a block Toeplitz matrix. On basis of this result, the solution of a single tangential matrix Nevanlinna-Pick interpolation problem is reduced to the solution of a certain truncated matrix trigonometric mnment problem.