vector multiplication meaning in English
矢乘
矢量乘法
向量乘法
Examples
- Since the main cost per iteration of the gmres method is the cost of the matrix - vector multiplication , the fast matrix - vector multiplication is the key of the algorithm
广义极小剩余法的每一步迭代的主要运算量来自矩阵-向量相乘，因此构造矩阵-向量快速乘法是整个快速方法的关键。 - It reduces greatly the computational complexity of matrix - vector multiplication in conjugate gradient iteration improves the efficiency of mlfma while the reasonable accuracy is maintained
该方法在保证合理计算精度的同时大大降低了迭代过程中矩阵矢量相乘的计算复杂度，提高了多层快速多极子方法计算效率。 - To further speed up the solution of scattering from three dimensional electrically large object by multilevel fast multipole algorithm ( mlfma ) , a local multilevel fast multipole algorithm ( lmlfma ) based on local interactions is proposed to evaluate matrix - vector multiplication
摘要为了进一步加速多层快速多极子算法求解电大尺寸目标电磁散射，提出了一种基于局部耦合技术计算矩阵矢量相乘的多层快速多极子方法。 - Secondly , the adaptive integral method is studied in detail . the two key techniques used in aim are introduced in roundly . they are : fast and efficient solutions of auxiliary basis function , and fft used to accelerate the computation of toeplitz matrix and vector multiplication
接着,详细研究了自适应积分方法的基本原理和数值实现方法,并深入研究了数值实现中的两个关键问题:辅助基函数的快速精确求解和fft加速多层拓扑利兹矩阵与矢量相乘的计算。 - Instead , there needs to store only the original coefficient matrix , some auxiliary matrices for the preconditioner and several vectors in the iteration methods . further , the core of the iteration is the matrix - vector multiplication and the solution of the auxiliary equations corresponding to the preconditioner . if the solution of the auxiliaries spend not very much , the computational cost in each iteration step will be very cheap , due to the fact that the sparsity of the matrix can be exploited sufficiently
与直接法相比，迭代法只需存储原系数矩阵、对应于预处理的几个辅助矩阵与少量几个向量，且迭代中除求解辅助线性方程组外，其余的计算主要是稀疏矩阵与向量乘积，从而能充分利用稀疏性减少计算量，但迭代法的收敛速度一般与系数矩阵的谱分布有关。