activity
20192026
most citedA stabilized sequential quadratic semidefinite programming method for degenerate nonlinear semidefinite programs

13 citations · 16 across the 14 of their papers we have counts for

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14 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.OC2026

Augmented Lagrangian methods for convex optimization with priority constraints via an infeasibility control framework

Yuya Yamakawa, Shota Yamanaka, Nobuo Yamashita

We consider convex optimization problems with prioritized equality constraints, which may be infeasible. In many applications, such as network optimization and image reconstruction…

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.OC2025

Local convergence analysis of stabilized sequential quadratic programming methods for optimization problems in Banach spaces

Yuya Yamakawa

This paper presents a stabilized sequential quadratic programming (SQP) method for solving optimization problems in Banach spaces. The optimization problem considered in this study…

math.OC2024

Convergence analysis of a regularized Newton method with generalized regularization terms for convex optimization problems

Yuya Yamakawa, Nobuo Yamashita

This paper presents a regularized Newton method (RNM) with generalized regularization terms for unconstrained convex optimization problems. The generalized regularization includes…

stat.ME2023★ 1 cited

Sparse estimation in ordinary kriging for functional data

Hidetoshi Matsui, Yuya Yamakawa

We introduce a sparse estimation in the ordinary kriging for functional data. The functional kriging predicts a feature given as a function at a location where the data are not obs…

math.OC2023

Modified Armijo line search in optimization on Riemannian submanifolds with reduced computational cost

Hiroyuki Sato, Yuya Yamakawa, Kensuke Aihara

For optimization problems on Riemannian manifolds, many types of globally convergent algorithms have been proposed, and they are often equipped with the Riemannian version of the A…

math.OC2022★ 1 cited

Superlinear and quadratic convergence of a stabilized sequential quadratic semidefinite programming method for nonlinear semidefinite programming problems

Yuya Yamakawa

In this paper, we present a stabilized sequential quadratic semidefinite programming (SQSDP) method for nonlinear semidefinite programming (NSDP) problems and prove its local conve…

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.OC2021

Distributionally Robust Expected Residual Minimization for Stochastic Variational Inequality Problems

Atsushi Hori, Yuya Yamakawa, Nobuo Yamashita

The stochastic variational inequality problem (SVIP) is an equilibrium model that includes random variables and has been widely applied in various fields such as economics and engi…

math.OC2021★ 1 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…

math.OC2019★ 13 cited

A stabilized sequential quadratic semidefinite programming method for degenerate nonlinear semidefinite programs

Yuya Yamakawa, Takayuki Okuno

In this paper, we propose a new sequential quadratic semidefinite programming (SQSDP) method for solving degenerate nonlinear semidefinite programs (NSDPs), in which we produce ite…