gauss-seidel matrix 中文意思是什麼
gauss-seidel matrix
解釋
高斯-賽德爾矩陣-
In this paper, we consider the optimal parameter vector a of the modified incomplete gauss _ seidel method ( migs ). we prove that the spectral radius function of the iterative matrix t of migs with parameter vector is strictly monotonic decreasing with respect to a satisfying 0 e if the classical gauss _ seidel method converges for a z _ matrix. some properties of the left and right eigenvectors corresponding to the largest eigenvalue in modulus are given, too. these results are useful to find an optimal parameter for migs
目前主要的方法有兩類:一是充分利用所給矩陣a的特點,採用適當的主元素選取策略,使分解出的因子盡可能地保持稀疏性;二是迭代法。對于第二種方法,迭代矩陣的選取具有決定作用。只有選取的迭代矩陣的譜半徑小於1才能保證迭代法收斂。 -
In chapter 3, gauss - seidel iterative method is discussed. if the sylvester equation coefficient matrices a, b are non - singular m - matrix, we use a splitting - up method which has a parameter in chapter 4
在第四章,對于系數矩陣a , b是非奇m陣的情況,本文將一種帶參數的分裂演算法應用於求解sylvester方程。
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