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This article is cited in 3 scientific papers (total in 3 papers)
Generalized Jordan Matrix of a Linear Operator
S. G. Dalalyan Yerevan State University
Abstract:
For any linear operator defined over an arbitrary field $\mathbf k$, there is a basis in which this matrix is a generalized Jordan matrix (of the second kind) with elements in the field $\mathbf k$. For any linear operator, such a matrix is defined uniquely up to permutation of diagonal blocks.
Keywords:
linear operator over a field, Jordan normal form, generalized Jordan matrix, Jordan cell, algebraically closed field, companion matrix, block-diagonal matrix, splitting field.
Received: 06.10.2006
Citation:
S. G. Dalalyan, “Generalized Jordan Matrix of a Linear Operator”, Mat. Zametki, 82:1 (2007), 27–35; Math. Notes, 82:1 (2007), 25–32
Linking options:
https://www.mathnet.ru/eng/mzm3750https://doi.org/10.4213/mzm3750 https://www.mathnet.ru/eng/mzm/v82/i1/p27
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Abstract page: | 1113 | Full-text PDF : | 950 | References: | 64 | First page: | 14 |
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