| 一类矩阵方根的直接表达式 |
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| 引用本文： | 邓飞其.一类矩阵方根的直接表达式[J].燕山大学学报,1990(1). |
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| 作者姓名： | 邓飞其 |
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| 作者单位： | 东北重型机械学院基础部 |
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| 摘 要： | 本文对特征值在复平面上任意一边界线过原点的半平面上的矩阵,给出级数形式的方根公式,这种公式用矩阵本身直接表达其方根。作为特例,我们得到了正定矩阵的正定 p 次方根的直接求法。
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| 关 键 词： | 矩阵方根 级数 范数 |
A Direct Expression of Roots for a Type of Matrices |
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| Deng Feiqi.A Direct Expression of Roots for a Type of Matrices[J].Journal of Yanshan University,1990(1). |
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| Authors: | Deng Feiqi |
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| Abstract: | For the matrices which have eigenvalues on a half plane with any boundary passing through the origin,a formula of roots in series isgiven,The formula expresses the roots of a matrix directly by thematri itself.As a special case,a direct method for finding theSymmetric positive definite matrix is given. |
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| Keywords: | roots of matrices series norm |
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