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Gauss-Newton method for convex optimization
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
The goal in this chapter is to present a finer convergence analysis of Gauss–Newton method than in earlier works in order to expand the solvability of convex composite optimizations problems. The convergence of Gauss–Newton ...
Robust convergence of Newton's method for cone inclusion problem
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter, motivated by the idea of the restricted convergence domains, we present a convergence analysis of Newton's method for cone inclusion problems. The semilocal convergence analysis of Newton's method is also ...