论文信息 - A Dual Internal Point Filter Algorithm Based on Orthogonal Design

A Dual Internal Point Filter Algorithm Based on Orthogonal Design

The Primal-dual interior-point methods with a filter are one of hot issues in optimization with both equality and inequality constraints. Extensive attention has been paid and great progress has been made for a long time. Interior-point methods not only have polynomial complexity, but are also highly efficient in practice.

Sanyou Zeng | Yijin Yang | Bin Lan | Tianyu Huo

[1] Qing Zhang,et al. Orthogonal Design Method for Optimizing Roughly Designed Antenna , 2014 .

[2] Sven Leyffer,et al. Nonlinear programming without a penalty function , 2002, Math. Program..

[3] Hongwei Liu,et al. A New Second-Order Infeasible Primal-Dual Path-Following Algorithm for Symmetric Optimization , 2016 .

[4] Jorge Nocedal,et al. On the Local Behavior of an Interior Point Method for Nonlinear Programming , 1997 .

[5] Zsolt Darvay,et al. New method for determining search directions for interior-point algorithms in linear optimization , 2018, Optim. Lett..

[6] Nicholas I. M. Gould,et al. An interior-point trust-funnel algorithm for nonlinear optimization , 2014, Math. Program..

[7] Lorenz T. Biegler,et al. On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[8] Thomas J. Böhme,et al. Introduction to Nonlinear Programming , 2017 .

[9] Oleg A. Prokopyev,et al. Optimization Letters Best Paper Award for 2016 , 2018, Optim. Lett..

[10] J. Betts. An accelerated multiplier method for nonlinear programming , 1977 .

[11] Nicholas I. M. Gould,et al. Nonlinear programming without a penalty function or a filter , 2010, Math. Program..