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Majorizing Functions and Convergence of the Gauss–newton Method for Convex Composite Optimization∗
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2007 |
| Abstract | We introduce a notion of quasi regularity for points with respect to the inclusion F (x) ∈ C, where F is a nonlinear Fréchet differentiable function from Rv to Rm. When C is the set of minimum points of a convex real-valued function h on Rm and F ′ satisfies the L-average Lipschitz condition of Wang, we use the majorizing function technique to establish the semilocal linear/quadratic convergence of sequences generated by the Gauss–Newton method (with quasiregular initial points) for the convex composite function h◦F . Results are new even when the initial point is regular and F ′ is Lipschitz. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.zju.edu.cn/Webpagenew/UploadFiles/AttachFiles/200791020038989.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
