节点文献
求解矩阵特征值的GPU实现(英文)
GPU Implementation for Solving Eigenvalues of a Matrix
【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。
【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.
【关键词】 GPU;
矩阵特征值;
幂法;
QR法;
【Key words】 GPU; eigenvalues of a matrix; the power method; the QR method;
【Key words】 GPU; eigenvalues of a matrix; the power method; the QR method;
- 【文献出处】 中山大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Sunyatseni , 编辑部邮箱 ,2008年S2期
- 【分类号】TP332
- 【被引频次】6
- 【下载频次】396