Primal-dual Newton method for a~linear problem of semidefinite programming
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 157-169

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A linear problem of semidefinite programming is considered, and the primal-dual Newton method is proposed for its solution. The superlinear local convergence of the method is established under the assumption that the primal and dual problems are nondegenerate and strictly complementary.
Keywords: semidefinite programming problem, Newton method, primal-dual method
Mots-clés : local convergence.
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     author = {V. G. Zhadan and A. A. Orlov},
     title = {Primal-dual {Newton} method for a~linear problem of semidefinite programming},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {157--169},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a14/}
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V. G. Zhadan; A. A. Orlov. Primal-dual Newton method for a~linear problem of semidefinite programming. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 157-169. http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a14/