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Second-order optimality conditions for nonlinear conic programming

Grant number: 19/24360-2
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): October 04, 2020
Effective date (End): October 03, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal researcher:Gabriel Haeser
Grantee:Leonardo Makoto Mito
Supervisor abroad: Ellen Hidemi Fukuda
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Research place: Kyoto University, Japan  
Associated to the scholarship:17/17840-2 - Error estimation in nonlinear optimization, BP.DR

Abstract

In this BEPE proposal, we intend to study second-order necessary conditions (SONCs) for nonlinear semidefinite and second-order cone programming and the second-order constraint qualifications associated to them. We hope to stablish new sequential optimality conditions and use them to improve some existing results on SONCs for both the mentioned problems, inspired by recent advances in nonlinear programming.

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