Note to the mixed-type splitting iterative method for \(Z\)-matrices linear systems (Q939500)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Note to the mixed-type splitting iterative method for \(Z\)-matrices linear systems |
scientific article; zbMATH DE number 5315376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note to the mixed-type splitting iterative method for \(Z\)-matrices linear systems |
scientific article; zbMATH DE number 5315376 |
Statements
Note to the mixed-type splitting iterative method for \(Z\)-matrices linear systems (English)
0 references
22 August 2008
0 references
The authors propose a mixed-type splitting iterative method, using an auxiliary nonnegative diagonal matrix and an auxiliary strictly lower triangular matrix, for solving linear systems, where the coefficient matrix is a Z-matrix. Additionally, they prove that the rate of convergence of the mixed-type iterative method is faster than that of the successive overrelaxation and the accelerated overrelaxation iterative methods. Numerical results are presented to illustrate the effectiveness of the proposed method.
0 references
linear system
0 references
splitting iterative method
0 references
Z-matrix
0 references
comparison of methods
0 references
convergence
0 references
numerical results
0 references
successive overrelaxation
0 references
accelerated overrelaxation
0 references
