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20212026
most citedAn equivalent nonlinear optimization model with triangular low-rank factorization for semidefinite programs

1 citations · 1 across the 5 of their papers we have counts for

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6 papers

math.OC2026

A stabilized sequential quadratic programming method for degenerate nonlinear optimization problems on Riemannian manifolds

Yuya Yamakawa, Mamoru Oka

We propose a stabilized sequential quadratic programming (SQP) method for degenerate constrained optimization problems on Riemannian manifolds. The problem considered in this study…

math.OC2025

A twice continuously differentiable penalty function for nonlinear semidefinite programming problems and its application

Yuya Yamakawa

This paper presents a twice continuously differentiable penalty function for nonlinear semidefinite programming problems. In some optimization methods, such as penalty methods and…

math.OC2025

Second-order sequential optimality conditions for nonlinear semidefinite optimization problems

Huimin Li, Yuya Yamakawa, Ellen H. Fukuda

Sequential optimality conditions play an important role in constrained optimization since they provide necessary conditions without requiring constraint qualifications (CQs). This…

math.OC2025

A strong second-order sequential optimality condition for nonlinear programming problems

Huimin Li, Yuya Yamakawa, Ellen H. Fukuda +1

Most numerical methods developed for solving nonlinear programming problems are designed to find points that satisfy certain optimality conditions. While the Karush-Kuhn-Tucker con…

math.OC2022

A revised sequential quadratic semidefinite programming method for nonlinear semidefinite optimization

Kosuke Okabe, Yuya Yamakawa, Ellen H. Fukuda

In 2020, Yamakawa and Okuno proposed a stabilized sequential quadratic semidefinite programming (SQSDP) method for solving, in particular, degenerate nonlinear semidefinite optimiz…

math.OC20211 cited

An equivalent nonlinear optimization model with triangular low-rank factorization for semidefinite programs

Yuya Yamakawa, Tetsuya Ikegami, Ellen H. Fukuda +1

In this paper, we propose a new nonlinear optimization model to solve semidefinite optimization problems (SDPs), providing some properties related to local optimal solutions. The p…