摘要
Parallel multisplitting nonlinear iterative methods are established for the system of nonlinear algebraic equations Aψ (x)+Tψ(x) = b, with A, T L(Rn) beingmatrices of particular properties, : Rn→ Rn being diagonal and continuousmappings, and b ∈ Rn a known vector; and their global convergence are investigated in detail under weaker conditions. Some numerical computations show thatthe new methods have better convergence properties than the known ones in theliterature.
Parallel multisplitting nonlinear iterative methods are established for the system of nonlinear algebraic equations Aψ (x)+Tψ(x) = b, with A, T L(Rn) beingmatrices of particular properties, : Rn→ Rn being diagonal and continuousmappings, and b ∈ Rn a known vector; and their global convergence are investigated in detail under weaker conditions. Some numerical computations show thatthe new methods have better convergence properties than the known ones in theliterature.
出处
《计算数学》
CSCD
北大核心
1999年第4期407-416,共10页
Mathematica Numerica Sinica
基金
国家自然科学基金!19601036
关键词
非线性代数方程
全局收敛性
并行迭代算法
System of nonlinear algebraic equations, matrix multisplitting, synchronous iteration, global convergence
