Convergence to a second-order critical point by a primal-dual interior point trust-region method for nonlinear semidefinite programming

DOI10.1080/10556788.2022.2060973OpenAlexW4225273633MaRDI QIDQ5058410

Hiroshi Yamashita

Publication date: 20 December 2022

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2022.2060973

zbMATH Keywords

global convergencetrust-region methodnonlinear semidefinite programmingprimal-dual merit functionprimal-dual interior point methodnegative-curvature directionsecond-order critical point

Mathematics Subject Classification ID

Semidefinite programming (90C22) Nonconvex programming, global optimization (90C26) Interior-point methods (90C51)

Related Items (1)

Complexity analysis of interior-point methods for second-order stationary points of nonlinear semidefinite optimization problems

Uses Software

• PENNON
• PENSDP

Cites Work

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• An interior point method with a primal-dual quadratic barrier penalty function for nonlinear semidefinite programming
• A filter method for nonlinear semidefinite programming with global convergence
• Handbook on semidefinite, conic and polynomial optimization
• A primal-dual interior point method for nonlinear semidefinite programming
• Successive linearization methods for nonlinear semidefinite programs
• Nonlinear semidefinite programming: sensitivity, convergence, and an application in passive reduced-order modeling
• On the solution of large-scale SDP problems by the modified barrier method using iterative solvers
• Properties of the augmented Lagrangian in nonlinear semidefinite optimization
• The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
• On filter-successive linearization methods for nonlinear semidefinite programming
• An interior method for nonconvex semidefinite programs
• On the convergence of augmented Lagrangian methods for nonlinear semidefinite programming
• On the use of Jordan algebras for improving global convergence of an augmented Lagrangian method in nonlinear semidefinite programming
• Estimation of failure probability using semi-definite logit model
• Local and superlinear convergence of a primal-dual interior point method for nonlinear semidefinite programming
• Approximate augmented Lagrangian functions and nonlinear semidefinite programs
• Global convergence of modified augmented Lagrangian methods for nonlinear semidefinite programming
• Interior-Point Methods for the Monotone Semidefinite Linear Complementarity Problem in Symmetric Matrices
• An augmented Lagrangian method for a class of LMI-constrained problems in robust control theory
• Self-Scaled Barriers and Interior-Point Methods for Convex Programming
• Primal--Dual Path-Following Algorithms for Semidefinite Programming
• Determinant Maximization with Linear Matrix Inequality Constraints
• Primal-Dual Interior-Point Methods for Self-Scaled Cones
• PENNON: A code for convex nonlinear and semidefinite programming
• Trust Region Methods
• Robust Control via Sequential Semidefinite Programming
• Partially Augmented Lagrangian Method for Matrix Inequality Constraints
• A Global Algorithm for Nonlinear Semidefinite Programming
• Solving nonconvex SDP problems of structural optimization with stability control
• An Interior Point Constrained Trust Region Method for a Special Class of Nonlinear Semidefinite Programming Problems
• An Interior-Point Method for Semidefinite Programming
• A primal-dual interior point trust-region method for nonlinear semidefinite programming
• A Sequential Convex Semidefinite Programming Algorithm with an Application to Multiple-Load Free Material Optimization
• A TWO-STEP PRIMAL-DUAL INTERIOR POINT METHOD FOR NONLINEAR SEMIDEFINITE PROGRAMMING PROBLEMS AND ITS SUPERLINEAR CONVERGENCE
• Local convergence of an augmented Lagrangian method for matrix inequality constrained programming
• A SURVEY OF NUMERICAL METHODS FOR NONLINEAR SEMIDEFINITE PROGRAMMING
• Handbook of semidefinite programming. Theory, algorithms, and applications
• A filter algorithm for nonlinear semidefinite programming

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