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r-轮换矩阵快速求逆算法的推广
引用本文:成礼智. r-轮换矩阵快速求逆算法的推广[J]. 计算数学, 1995, 17(3): 291-297
作者姓名:成礼智
作者单位:国防科技大学
摘    要:r-轮换矩阵快速求逆算法的推广成礼智(国防科技大学)THEGENERALIZATIONOFTHEFASTALGORITHMFORINVERTINGr-CIRCULANTMATRICES¥ChengLi-zhi(NationalUniversityof...

关 键 词:γ轮换矩阵 逆 算法 矩阵

THE GENERALIZATION OF THE FAST ALGORITHM FOR INVERTING r-CIRCULANT MATRICES
Affiliation:Cheng Li-zhi(National University of Defense Technology, Changsha)
Abstract:AbstractIn this paper, a recursive factorization algorithm for inverting r-circulant matrices on the basis of Kronecker product expression of factorization of the matrix of aribitrary order N is proposed. If N = the algorithm needs N = O(NlogN) multipiications and 2 =0(NlogN) additions, where MFFT(ki) and AFFT(ki) represent the number of multiplications and additions for computing kipoints FFT, respectively.
Keywords:
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