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Schur矩阵函数的广义Pick块矩阵的秩不变性
On Rank Invariance of Generalized Pick Block Matrices of Matricial Schur Functions
【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.
【Abstract】 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.
【关键词】 Schur矩阵函数;
秩不变;
广义Pick块矩阵;
Carathéodory矩阵函数;
【Key words】 matricial schur functions; rank invariance; generalized pick block matrices; matricial carathéodory functions;
【Key words】 matricial schur functions; rank invariance; generalized pick block matrices; matricial carathéodory functions;
【基金】 国家自然科学基金项目(10701009)
- 【文献出处】 许昌学院学报 ,Journal of Xuchang University , 编辑部邮箱 ,2015年02期
- 【分类号】O151.21
- 【下载频次】38