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《Journal of Hangzhou Teachers College》 2004-01
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The algorithm for radication of r-circulant matrix of type 2~k

HUANG De-chao(College of Information and Engineering, Hangzhou Teachers College, Hangzhou 310012, China)  
In this paper, we present an algorithm for radication of r-circulant matrix of type 2~k computation radical similar matrices by using reduced-order method.We prove that the number of all radical similar matrices is 2~n, the algorithm only demands O(nlog_2n) for calculating one radical similar matrix and the algorithm demands O(n2~nlog_2n) arithematic operations for calculating all radical similar matrices.
【CateGory Index】: O241
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Shen Guangxing (Department of Mathematics);THE R-CIRCULANT SYSTEMS AND THE COMPUTATION TIME COMPLEXITY OF SOME RELATED ALGORITHMS[J];Journal of Hangzhou Teachers College;1992-03
2 Shen Guangxing (Hangzhou Teachers College, 310030);The Time Complexity of r-Circulant systems[J];Journal of Mathematical Research and Exposition;1992-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Xi Chuanzhi(Zaozhuang Teacher' s College,Shandong);The Properties of two Kinds of Cyclic Matrix[J];;1996-12
2 LI Guang qin (Dept.Math.,Linyi Teachers College, Linyi 276005,Shandong,China);A new algorithm for finding inverse matrices of r-circulant matrices[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2002-03
3 Fan Jiansheng;A Fast Algorithms for Radication of Scaled Factor Circulant Matrices[J];Journal of Fujian Commercial College;2007-02
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5 Shen Guangxing (Inst of Math.& Appl,Hangzhou Teachers’College,310012);The Fast Algorithms and Computation Time Complexity of Level-2 (r_1,r_2)-Circulant Matrices of Type(2~(k_1),2~(k_2))[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;2000-01
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7 Shen Guangxing (HangZhou Teachers' College);THE LEVEL-2(r_1,r_2)-CIRCULANT MATRICES OF TYPE (n_1,n_2) AND THE COMPUTATION TIME COMPLEXITY OF SOME RELATED ALGORITHMS[J];Numerical Mathematies A Journal of Chinese Universities;1998-04
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【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 You Zhao-yong;Li Lei Xi'an Jiaotong University;THE TIME COMPLEXITY OF TRIDIAGONAL TOEPLITZ SYSTEMS[J];Mathematica Numerica Sinica;1987-03
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