On convergence of the Gauss-Newton method for convex composite optimization |
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| Authors: | Chong Li Xinghua Wang |
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| Institution: | (1) Department of Applied Mathematics, Southeast University, Nanjing 210096, P.R. China, e-mail: cli@seu.edu.cn, CN;(2) Department of Mathematics, Zhejiang University, Hangzhou 310028, P.R. China, CN |
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| Abstract: | The local quadratic convergence of the Gauss-Newton method for convex composite optimization f=h∘F is established for any convex function h with the minima set C, extending Burke and Ferris’ results in the case when C is a set of weak sharp minima for h.
Received: July 24, 1998 / Accepted: November 29, 2000?Published online September 3, 2001 |
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| Keywords: | : Gauss-Newton method – weak sharp minima – regular point – quadratic convergence |
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