Publication: A nonsmooth Newton method with path search and its use in solving $C^{1,1}$ programs and semi-infinite problems
A nonsmooth Newton method with path search and its use in solving $C^{1,1}$ programs and semi-infinite problems
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Bütikofer, S., & Klatte, D. (2010). A nonsmooth Newton method with path search and its use in solving $C^{1,1}$ programs and semi-infinite problems. SIAM Journal on Optimization, 20(5), 2381–2412. https://doi.org/10.1137/090751025
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In [S. Bütikofer, Math. Methods Oper. Res., 68 (2008), pp. 235–256] a nonsmooth Newton method globalized with the aid of a path search was developed in an abstract framework. We refine the convergence analysis given there and adapt this algorithm to certain finite dimensional optimization problems with $C^{1,1}$ data. Such problems arise, for example, in semi-infinite programming under a reduction approach without strict complementarity and in generalized Nash equilibrium models. Using results from parametric optimization and variatio
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- Klatte, D
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Bütikofer, S., & Klatte, D. (2010). A nonsmooth Newton method with path search and its use in solving $C^{1,1}$ programs and semi-infinite problems. SIAM Journal on Optimization, 20(5), 2381–2412. https://doi.org/10.1137/090751025
