Excellence in Research and Innovation for Humanity

Zhong Xi Gao

Publications

3

Publications

3
3728
A Note on the Convergence of the Generalized AOR Iterative Method for Linear Systems
Abstract:

Recently, some convergent results of the generalized AOR iterative (GAOR) method for solving linear systems with strictly diagonally dominant matrices are presented in [Darvishi, M.T., Hessari, P.: On convergence of the generalized AOR method for linear systems with diagonally dominant cofficient matrices. Appl. Math. Comput. 176, 128-133 (2006)] and [Tian, G.X., Huang, T.Z., Cui, S.Y.: Convergence of generalized AOR iterative method for linear systems with strictly diagonally dominant cofficient matrices. J. Comp. Appl. Math. 213, 240-247 (2008)]. In this paper, we give the convergence of the GAOR method for linear systems with strictly doubly diagonally dominant matrix, which improves these corresponding results.

Keywords:
Diagonally dominant matrix, GAOR method, Linear system, Convergence
2
16754
The Convergence Results between Backward USSOR and Jacobi Iterative Matrices
Abstract:

In this paper, the backward Ussor iterative matrix is proposed. The relationship of convergence between the backward Ussor iterative matrix and Jacobi iterative matrix is obtained, which makes the results in the corresponding references be improved and refined.Moreover,numerical examples also illustrate the effectiveness of these conclusions.

Keywords:
Backward USSOR iterative matrix, Jacobi iterative matrix, convergence, spectral radius
1
16834
The Relationship of Eigenvalues between Backward MPSD and Jacobi Iterative Matrices
Abstract:

In this paper, the backward MPSD (Modified Preconditioned Simultaneous Displacement) iterative matrix is firstly proposed. The relationship of eigenvalues between the backward MPSD iterative matrix and backward Jacobi iterative matrix for block p-cyclic case is obtained, which improves and refines the results in the corresponding references.

Keywords:
Backward MPSD iterative matrix, Jacobi iterative matrix, eigenvalue, p-cyclic matrix.