| 矩阵分解与Chrestenson谱的计算 |
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| 引用本文： | 胡磊. 矩阵分解与Chrestenson谱的计算[J]. 数学研究及应用, 2003, 23(1): 21-27 |
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| 作者姓名： | 胡磊 |
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| 作者单位： | 中国科学院研究生院信息安全国家重点实验室,北京,100039 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(90104034)，the 863 Program(2002AA141020)，the Guangdong Provincial Natural Science Foundation(990336) |
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| 摘 要： | 本文研究离散Fourier变换的一类变型-整数模合数m剩余类环上n元函数的Chrestenson谱的快速计算,基于稀疏矩阵分解,给出了两种复杂度为O(mnn∑ri=1pi)的计算Chrestenson谱的快速算法,其中p1p2…pr是m的素因子分解.
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| 关 键 词： | 离散傅里叶变换 矩阵分解 Chrestenson谱 计算 |
| 收稿时间： | 2000-08-03 |
Matrix Decomposition and Calculation of Chrestenson Spectra |
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| HU Lei. Matrix Decomposition and Calculation of Chrestenson Spectra[J]. Journal of Mathematical Research with Applications, 2003, 23(1): 21-27 |
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| Authors: | HU Lei |
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| Affiliation: | State Key Laboratory of Information Security; Graduate School; Academic Sinica; Beijing; China |
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| Abstract: | Calculation of a variation of discrete Fourier transform, Chrestenson spectra of functions of n indeterminates over integer modulo m (composite integer), is considered. Based on sparse matrix decomposition, two fast algorithms with complexity prime factor decomposition of m. |
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| Keywords: | discrete Fourier transform Chrestenson spectra sparse matrix fast algorithm. |
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