Name
Title | ||
|---|---|---|
Some iterative methods for the largest positive definite solution to a class of nonlinear matrix equation. |
Abstract | ||
|---|---|---|
In this paper, we propose some inversion-free iteration methods for finding the largest positive definite solution of a class of nonlinear matrix equation. Then, we consider the properties of the solution for this nonlinear matrix equation. Also, we establish Newton’s iteration method for finding the largest positive definite solution and prove its quadratic convergence. Furthermore, we derive the semi-local convergence of the Newton’s iteration method. Finally, some numerical examples are presented to illustrate the effectiveness of the theoretical results and the behavior of the considered methods. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s11075-017-0432-8 | Numerical Algorithms |
Keywords | Field | DocType |
Nonlinear matrix equation, Inversion-free iteration method, Newton’s iteration method, Largest positive definite solution, Semi-local convergence | Convergence (routing),Mathematical optimization,Mathematical analysis,Iterative method,Positive-definite matrix,Nonlinear matrix equation,Rate of convergence,Mathematics | Journal |
Volume | Issue | ISSN |
79 | 1 | 1017-1398 |
Citations | PageRank | References |
0 | 0.34 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bao-Hua Huang | 1 | 12 | 5.68 |
| Changfeng Ma | 2 | 100 | 16.25 |