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块C-特征向量块线性无关的等价表征 被引量:1

The Equivalent Representations of Black Coneigenvector on it's Block Linear Independence
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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. 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.
出处 《数学的实践与认识》 CSCD 北大核心 2010年第17期227-232,共6页 Mathematics in Practice and Theory
关键词 块C-特征向量 块C-相似 完全集 块复合幂零阵 block coneigenvector block consimilary complete set block compound nilpotent matrix
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参考文献5

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共引文献26

同被引文献5

  • 1Furtado S, Johnson C R. Spectral variation under congruence[J]. Linear and Multilinear Algebra, 2001, 49(3): 243-259.
  • 2Furtado S, Johnson C R. Spectral variation under congruence for a nonsingular matrix with 0 on the boundary of its field of values[J]. Linear Algebra Appl., 2003, 359(1): 67-78.
  • 3Furtado S, Johnson C R. Unitary similarity classses within the cospectral-congruence class of a matrix[J]. Linear Algebra Appl., 2005, 394(1): 291-307.
  • 4Horn R A, Johnson C R. Matrix analysis[M]. New York: Cambridage Univ. Press, 1985.
  • 5李庆春,张树功.矩阵C-特征值的包含区间[J].吉林大学学报(理学版),2008,46(6):1037-1041. 被引量:7

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