中文摘要：

讨论Schur矩阵函数在多重插值点的情形下第一型的广义Pick块矩阵的秩不变性,得到与经典Pick块矩阵的秩不变性的类似结论,从而把Schur矩阵函数经典Pick块矩阵的秩不变性的基本结果推广到了多重插值点的情形.

英文摘要：

The present paper studies the rank invariance of the first type of generalized pick block matrices of matricial schur functions in the case of multiple interpolation nodes. The findings are similar to that of classical pick block matrices,thus spreading the basic results of the rank invariance of classical pick block matrices of matricial schur functions to the case of multiple interpolation nodes.