Name
Abstract | ||
|---|---|---|
The iterative solution ofthe system of linear algebraic equations Ax = b with a nonsingular M-matrix A is considered. A one-step iterative method is constructed which is based on the special weak regular splitting ofthe matrix A. We prove that the obtained iterative method is not only convergent but it has also some further advantageous properties: the maximal rate of convergence, the efficiency from the point of view of computational costs and the qualitative adequacy. We also examine the relation between this splitting and the regular splittings. Finally we construct two-sided monotone sequences to the solution of the above system. These sequences are produced by the iteration based on the weak regular splitting of A, with different suitable starting vectors. The method of the possible determination of these vectors are also indicated. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1007/3-540-45262-1_34 | NAA |
Keywords | Field | DocType |
special weak regular splitting,ofthe matrix,weak regular splitting,one-step iterative method,nonsingular m-matrix a,regular splittings,advantageous property,computational cost,iterative solution ofthe system,proper weak regular splitting,iterative method,iteration method | Convergent matrix,Applied mathematics,Linear equation,Discrete mathematics,Nonnegative matrix,Mathematical analysis,Matrix (mathematics),Iterative method,Rate of convergence,Invertible matrix,Monotone polygon,Mathematics | Conference |
Volume | ISSN | ISBN |
1988 | 0302-9743 | 3-540-41814-8 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| István Faragó | 1 | 62 | 21.50 |