| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4633877 | Applied Mathematics and Computation | 2008 | 8 Pages |
Abstract
The least l2l2-norm solution for a possibly inconsistent system of nonlinear inequalities is studied in this paper. By introducing a new smoothing function, the problem is approximated by a family of parameterized optimization problems with twice continuously differentiable objective functions. Then a smoothing Levenberg–Marquardt method is applied to solve the parameterized optimization problems. The global convergence of the proposed method is established under suitable assumptions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Changfeng Ma,