计算数学
計算數學
계산수학
MATHEMATICA NUMERICA SINICA
1999年
4期
407-416
,共10页
非线性代数方程组%矩阵多分裂%同步迭代%全局收敛性
非線性代數方程組%矩陣多分裂%同步迭代%全跼收斂性
비선성대수방정조%구진다분렬%동보질대%전국수렴성
System of nonlinear algebraic equations%matrix multisplitting%synchronous iteration%global convergence
Parallel multisplitting nonlinear iterative methods are established forthe system of nonlinear algebraic equations Aψ(χ)+Tψ(χ)=b,with A,T∈L(Rn)being matrices ofparticular properties,(ψ),ψ:Rn→Rnbeing diagonal andcontinuous mappings, and b∈Rn a known vector; and theirglobal convergence are investigated in detail under weaker conditions.Some numerical computations show that the new methods have better convergence properties than the known ones in the literature.
