A new QP-free algorithm without a penalty function or a filter for nonlinear semidefinite programming

DOI10.1007/s10255-020-0964-xzbMath1466.90068OpenAlexW3081621465MaRDI QIDQ2023745

Jian-Ling Li, Jia-qi Wu, Jin-Bao Jian, Zhen-Ping Yang

Publication date: 3 May 2021

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-020-0964-x

zbMATH Keywords

global convergencenonmonotone line searchnonlinear semideflnite programmingpenalty-freeQP-free

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Semidefinite programming (90C22)

Uses Software

• complib
• PENNON
• COMPleib

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
• A primal-dual interior point method for nonlinear semidefinite programming
• On the superlinear local convergence of a penalty-free 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
• Properties of the augmented Lagrangian in nonlinear semidefinite optimization
• The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
• Test examples for nonlinear programming codes
• First and second order analysis of nonlinear semidefinite programs
• An interior method for nonconvex semidefinite programs
• On the convergence of augmented Lagrangian methods for nonlinear semidefinite programming
• A globally convergent QP-free algorithm for nonlinear semidefinite programming
• Global convergence of modified augmented Lagrangian methods for nonlinear semidefinite programming
• Matrix Analysis
• A QP-Free, Globally Convergent, Locally Superlinearly Convergent Algorithm for Inequality Constrained Optimization
• On the Nesterov--Todd Direction in Semidefinite Programming
• PENNON: A code for convex nonlinear and semidefinite programming
• Robust Control via Sequential Semidefinite Programming
• A Global Algorithm for Nonlinear Semidefinite Programming
• Local convergence of an augmented Lagrangian method for matrix inequality constrained programming
• Handbook of semidefinite programming. Theory, algorithms, and applications
• Optimal design of trusses under a nonconvex global buckling constraint
• A filter algorithm for nonlinear semidefinite programming

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