Showing papers by "Zhong-Zhi Bai published in 2000"
TL;DR: The results not only generalize all the known ones for the diagonalizable matrices in the literature, but also sharp the corresponding estimates in Jia, which reveal some intrinsic relationships between the convergence properties and the eigen-characteristics of the coefficient matrix.
71 citations
TL;DR: Asynchronous parallel multisplitting nonlinear iterative methods are established for the system of nonlinear algebraic equations in this paper, with A, T ∈ L ( R n ) being matrices having particular properties, ϕ, ψ : R n → R n being diagonal and continuous mappings, and b ∈ R n a known vector.
Abstract: Asynchronous parallel multisplitting nonlinear iterative methods are established for the system of nonlinear algebraic equations Aϕ ( x ) + Tψ ( x ) = b , with A , T ∈ L ( R n ) being matrices having particular properties, ϕ , ψ : R n → R n being diagonal and continuous mappings, and b ∈ R n a known vector, and their global convergence and asymptotic convergence rates are investigated in detail under some reasonable conditions.
5 citations