| 求解矩阵特征值的GPU实现 |
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| 引用本文： | 夏健明,魏德敏.求解矩阵特征值的GPU实现[J].中山大学学报(自然科学版),2008,47(Z2). |
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| 作者姓名： | 夏健明 魏德敏 |
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| 作者单位： | 1. 华南理工大学土木工程系,广东,广州,510640;广东水利电力职业技术学院土木工程系,广东,广州,510635
2. 华南理工大学土木工程系,广东,广州,510640 |
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| 摘 要： | 提出了求解矩阵特征值的GPU(图形处理器)实现方法,分别用基于GPU的幂法和QR法求解矩阵的最大特征值和所有特征值。基于GPU的计算与基于CPU的计算相比较,证实其计算精度较好,运算时间比基于CPU的运算时间快2.7~7.6倍。
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| 关 键 词： | GPU 矩阵特征值 幂法 QR法 |
GPU Implementation for Solving Eigenvalues of a Matrix |
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| XIA Jian-ming,WEI De-min.GPU Implementation for Solving Eigenvalues of a Matrix[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2008,47(Z2). |
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| Authors: | XIA Jian-ming WEI De-min |
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| Abstract: | A GPU (graphics processing unit) implementation was presented for solving eigenvalues of a matrix. The power method and the QR method based on the GPU are used to solve the largest eigenvalue and all eigenvalues of a given matrix. The computations are compared with those by the CPU, and it is found that the computation accuracy is good, and the running time on the GPU is faster than that on the CPU by a factor of 2.7～7.6. |
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| Keywords: | GPU eigenvalues of a matrix the power method the QR method |
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