multiplication coefficient 中文意思是什麼
multiplication coefficient
解釋
倍增系數- multiplication : n. 增加,增殖；倍增；【數學】乘法；乘法運算。
- coefficient : adj. 共同作用的。n. 1. 共同作用；協同因素。2. 【數，物】系數，率；程度。
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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
與直接法相比，迭代法只需存儲原系數矩陣、對應于預處理的幾個輔助矩陣與少量幾個向量，且迭代中除求解輔助線性方程組外，其餘的計算主要是稀疏矩陣與向量乘積，從而能充分利用稀疏性減少計算量，但迭代法的收斂速度一般與系數矩陣的譜分佈有關。 -
To obtain the fast matrix - vector multiplication algorithm, we approximate the kernel function with piece - wise polynomial and get the approximate coefficient matrix a using the approximate kernel function. let n be the number of quadrature points and k2 be the number of interpolating knots at each subdomain. it is proved that the construction of a and the matrix - vector multiplication ax require o ( nk ) operations respectively
我們利用對核函數進行分片多項式插值逼近得到適用於快速方法的近似系數矩陣a ：矩陣a的計算和矩陣-向量相乘ax各需要o （ nk ）次運算，存貯a需要佔用o （ nk ）內存，其中n為積分節點的個數， k ~ 2為每個小區域的插值節點數。
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