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块C-特征向量块线性无关的等价表征
引用本文:刘丽波,李庆春.块C-特征向量块线性无关的等价表征[J].数学的实践与认识,2010,40(17).
作者姓名:刘丽波  李庆春
摘    要:引进了块复合矩阵的块C-特征值、块C-特征向量的概念,给出了块C-特征向量块线性无关的等价表征,并由此讨论了块复合幂零矩阵的性质,给出了这类矩阵的块C-特征向量块线性相关的等价表征.

关 键 词:块C-特征向量  块C-相似  完全集  块复合幂零阵

The Equivalent Representations of Black Coneigenvector on it's Block Linear Independence
LIU Li-bo,LI Qing-chun.The Equivalent Representations of Black Coneigenvector on it's Block Linear Independence[J].Mathematics in Practice and Theory,2010,40(17).
Authors:LIU Li-bo  LI Qing-chun
Abstract:We introduced the concepts of block coneigen value and block coneigen vector of a block compound matrix,gave some equivalent representations of block coneigenvector on its matrix,then gave the equivalent representations of block coneigenvector about its block linear dependence of the matrix.
Keywords:block coneigenvector  block consimilary  complete set  block compound nilpotent matrix
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