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几个结构矩阵乘积的快速算法
引用本文:曹寒冬,;胡振华.几个结构矩阵乘积的快速算法[J].湖南城建高等专科学校学报,2008(3):42-43.
作者姓名:曹寒冬  ;胡振华
作者单位:[1]五邑大学数理系,广东江门529020; [2]湖南城市学院数学与计算科学系,湖南益阳413000
摘    要:运用广义中心对称矩阵和广义中心Hemitian矩阵的约化性质得到了计算此类矩阵乘积的快速算法.此算法和传统算法相比,大约是传统算法计算量的一半.

关 键 词:广义中心对称矩阵  广义中心Hemitian矩阵  矩阵乘积

Several Fast Algorithms of Structured Matrix Multiplication
Affiliation:CAO Han-dong, HU Zhen-hua ( 1. Department of Mathematics and Physics ,Wuyi University, Jiangmen, Guangdong 529020, China; 2. Department of Mathematics and Computing Science, Hunan City University, Yiyang, Hunan 413000, China)
Abstract:In this paper, the authors take advantage of the reducibility of the generalized centro-symmetric matrix and the generalized centrohermitian matrix to propose two fast algorithms for computing the products of such matrices. It is showed that our algorithm is half of the amount of computation to that of the conventional algorithm.
Keywords:Generalized centro-symmetric matrix  generalized centrohermitian matrix  matrix-matrix multiplication
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