| 矩阵的m次标准根分析及其应用 |
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| 引用本文： | 李媛媛,姚钲.矩阵的m次标准根分析及其应用[J].江汉大学学报(自然科学版),2008,36(4). |
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| 作者姓名： | 李媛媛 姚钲 |
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| 作者单位： | 江汉大学,数学与计算机科学学院,武汉,430056 |
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| 基金项目： | 武汉市属高校一般科研项目
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| 摘 要： | 探讨矩阵m次标准根的存在性,基于矩阵存在m次标准根的前提下,给出了矩阵m次标准根与其m次根的关系.得出了秩1矩阵m次标准根的完全刻画.
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| 关 键 词： | m次根矩阵 标准根 块对角矩阵 秩1矩阵 幂零矩阵 |
Analysis and Application of m-th Canonical Root of Matrix |
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| LI Yuan-yuan,YAO Zheng.Analysis and Application of m-th Canonical Root of Matrix[J].Journal of Jianghan University:Natural Sciences,2008,36(4). |
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| Authors: | LI Yuan-yuan YAO Zheng |
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| Abstract: | The m-th canonical root of a matrix is considered.Relationship between m-th cano-nical root of a complex matrix and its m-th root is also investigated under the condition that the matrix has m-th canonical root.Based on the analysis of the m-th canonical root of an order 1 matrix,the form of its solution is found. |
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| Keywords: | m-th root matrix canonical root block to angle matrix order 1 matrix zero power matrix |
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