| 一种计算r-循环矩阵平方根的新算法(英文) |
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| 引用本文： | 高瑜,祝小雯,岑建苗.一种计算r-循环矩阵平方根的新算法(英文)[J].宁波大学学报(理工版),2012,25(3):35-37,96. |
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| 作者姓名： | 高瑜 祝小雯 岑建苗 |
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| 作者单位： | 宁波大学理学院,浙江宁波,315211 |
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| 基金项目： | Supported by Zhejiang Provincial Natural Science Foundation(Y604089) |
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| 摘 要： | 研究了r-循环矩阵的简化形式,提出了一种计算r-循环矩阵平方根的新算法,该方法无需计算r-循环矩阵的特征值,计算时只需要矩阵乘法的迭代.
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| 关 键 词： | r-循环矩阵 主平方根 简化形式 Schur分解 |
A New Algorithm to Compute the Square Roots of r-circulant Matrices |
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| GAO Yu,ZHU Xiao-wen,CEN Jian-miao.A New Algorithm to Compute the Square Roots of r-circulant Matrices[J].Journal of Ningbo University(Natural Science and Engineering Edition),2012,25(3):35-37,96. |
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| Authors: | GAO Yu ZHU Xiao-wen CEN Jian-miao |
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| Institution: | *(Faculty of Science,Ningbo University,Ningbo 315211,China) |
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| Abstract: | A simplified form of r-circulant matrices is investigated,and a new algorithm to compute the square roots of r-circulant matrices is obtained using the properties of r-circulant matrices.In stead of calculating the eigenvalues of the r-circulant matrices,the proposed method only needs inter-matrix multiplication in its iterative sequence. |
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| Keywords: | r-circulant matrices primary square root reduced form Schur decomposition |
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