期刊文献+

几个结构矩阵乘积的快速算法

Several Fast Algorithms of Structured Matrix Multiplication
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摘要 运用广义中心对称矩阵和广义中心Hermitian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. 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.
出处 《湖南城市学院学报(自然科学版)》 CAS 2008年第3期42-43,共2页 Journal of Hunan City University:Natural Science
关键词 广义中心对称矩阵 广义中心Hemitian矩阵 矩阵乘积 Generalized centro-symmetric matrix generalized centrohermitian matrix matrix-matrix multiplication
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参考文献3

  • 1Fassbender H, Ikramov K D. Computing matrix-vector products with centrosymmetric and centrohermitian matrices[J]. Linear Algebra Appl, 2003(364): 235-241.
  • 2Liu Z Y, Cao H D, Chen H J. A note on computing matrix-vector products with generalized centrosymmetric (centrohermitian) matrices[J]. Applied Mathematics and Computation, 2005, 169: 1332-1345.
  • 3谭艳祥,田兆禄,刘仲云.关于中心对称矩阵的矩阵与矩阵乘积的计算[J].长沙交通学院学报,2005,21(3):1-5. 被引量:2

二级参考文献3

  • 1Liu Z Y. Some properties of centrosymmetric matrices[J]. Apply Math. Computation,2003,141:297~306.
  • 2Heibe F, Khakim D. Computing matix-vector products with centrosymmetric and centrohermitian matices[J]. Linear Algebra Appl,2003,364:235~241.
  • 3James WD. Applied Numerical Linear Algebra[Z]. SIAM, Philadelphia, 1997.

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