| 关于友循环矩阵的逆与群逆 |
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| 引用本文： | 朱灵,崔艳,孔翔. 关于友循环矩阵的逆与群逆[J]. 宁波工程学院学报, 2008, 20(4): 30-33 |
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| 作者姓名： | 朱灵 崔艳 孔翔 |
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| 作者单位： | 宁波工程学院,浙江,宁波,315016;宁波工程学院,浙江,宁波,315016;宁波工程学院,浙江,宁波,315016 |
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| 摘 要： | 本文讨论利用多项式快速算法，给出复数域上非奇异友循环矩阵求逆矩阵的方法，同时推广到求复数域上奇异友循环矩阵的群逆，最后给出应用该算法的数值例子。
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| 关 键 词： | 友循环矩阵 逆 群逆 算法 |
On the Inverse and Caeneralized Inverse of the Companion Circulant Matrix |
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| ZHU Ling,CUI Yan,KONG Xiang. On the Inverse and Caeneralized Inverse of the Companion Circulant Matrix[J]. Journal of Ningbo University of Technology, 2008, 20(4): 30-33 |
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| Authors: | ZHU Ling CUI Yan KONG Xiang |
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| Affiliation: | (Faculty of Science, Ningbo University of Technology , Ningbo Zhejiang 315016, China) |
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| Abstract: | Fast algorithms for finding the inverse of a nonsingular companion circulant matrix over complex field is presented by utilizing the fast algorithm for computing polynomials.Extension is made to compute the group inverse of a singular companion circutant matrix over complex field.Finally numerical examptes are given. |
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| Keywords: | companion circulant matrix inverse group inverse Moore-Penrose inverse Euclid algorithm. |
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