Global Convergence Analysis of Line Search Interior-Point Methods for Nonlinear Programming without Regularity Assumptions

Type: Article

Publication Date: 2005-05-30

Citations: 8

DOI: https://doi.org/10.1007/s10957-005-2092-4

View

Locations

  • RePEc: Research Papers in Economics - View
  • Journal of Optimization Theory and Applications - View

Similar Works

Action Title Year Authors
+ Interior-point ℓ2-penalty methods for nonlinear programming with strong global convergence properties 2006 L. Chen
Donald Goldfarb
+ Convergence of line search methods for unconstrained optimization 2003 Zhen-Jun Shi
+ On the global convergence of interior-point nonlinear programming algorithms 2010 Gabriel Haeser
+ Globally Convergent Interior-Point Algorithm for Nonlinear Programming 2005 Ioannis Akrotirianakis
Berç Rüstem
+ Interior-Point Methods for Nonlinear Programming 2006
+ Global Convergence of the Newton Interior-Point Method for Nonlinear Programming 2004 C. Durazzi
Valeria Ruggiero
+ PDF Chat Convergence and Stability of Line Search Methods for Unconstrained Optimization 2013 Wah June Leong
Bean San Goh
+ A globally convergent interior point algorithm for non-convex nonlinear programming 2008 Xiaona Fan
+ A globally convergent interior point algorithm for non-convex nonlinear programming 2009 FanXiaona
+ Theoretical justification of interior point algorithms for solving optimization problems with nonlinear constraints 2013 V. I. Zorkaltsev
S. M. Perzhabinsky
+ Convergence bounds for nonlinear programming algorithms 1975 Robert Mifflin
+ Globally Convergent Primal-Dual Interior-Point Filter Method for Nonlinear Programming 2004 Michael Ulbrich
Stefan Ulbrich
L. N. Vicente
+ Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization 2014 Wei Bian
Xiaojun Chen
Yinyu Ye
+ Failure of global convergence for a class of interior point methods for nonlinear programming 2000 Andreas Wächter
Lorenz T. Biegler
+ A class of line search-type methods for nonsmooth convex regularized minimization 2021 Weijun Zhou
+ Interior Point Methods for Linear Optimization 2006 Petra Huhn
+ Interior Point Methods for Linear Optimization 2005 C. Roos
Tamás Terlaky
J.‐P. Vial
+ Quadratic Convergence of a Long-Step Interior-Point Method for Nonlinear Monotone Variational Inequality Problems 1998 Jie Sun
Guoyong Zhao
+ Local Convergence of the Interior-Point Newton Method for General Nonlinear Programming 2004 Mahmoud El-Alem
Salah M. El‐Sayed
B. El-Sobky
+ Error bounds and convergence analysis of feasible descent methods: a general approach 1993 Zhi-Quan Luo
Paul Tseng

Citing (17)

Action Title Year Authors
+ None 1999 Robert J. Vanderbei
David F. Shanno
+ A Primal-dual Interior Method for Nonconvex Nonlinear Programming 1998 David M. Gay
Michael L. Overton
Margaret H. Wright
+ Global Convergence Analysis of Line Search Interior-Point Methods for Nonlinear Programming without Regularity Assumptions 2005 X. W. Liu
Jie Sun
+ PDF Chat An Interior Point Algorithm for Large-Scale Nonlinear Programming 1999 Richard H. Byrd
Mary E. Hribar
Jorge Nocedal
+ PDF Chat A Robust Primal-Dual Interior-Point Algorithm for Nonlinear Programs 2004 Xinwei Liu
Jie Sun
+ PDF Chat Primal-Dual Interior Methods for Nonconvex Nonlinear Programming 1998 Anders Forsgren
Philip E. Gill
+ Failure of global convergence for a class of interior point methods for nonlinear programming 2000 Andreas Wächter
Lorenz T. Biegler
+ Interior-point methods for nonconvex nonlinear programming: orderings and higher-order methods 2000 David F. Shanno
Robert J. Vanderbei
+ A Robust Algorithm for Optimization with General Equality and Inequality Constraints 2000 Xinwei Liu
Ya-xiang Yuan
+ A globally convergent primal-dual interior point method for constrained optimization 1998 Hiroshi Yamashita
+ Nonlinear Programming: Sequential Unconstrained Minimization Techniques 1968 Anthony V. Fiacco
Garth P. McCormick
+ Convergent Infeasible Interior-Point Trust-Region Methods for Constrained Minimization 2002 Paul Tseng
+ PDF Chat A trust region method based on interior point techniques for nonlinear programming 2000 Richard H. Byrd
Jean Charles Gilbert
Jorge Nocedal
+ On the formulation and theory of the Newton interior-point method for nonlinear programming 1996 Amr El-Bakry
R. A. Tapia
Takashi Tsuchiya
Y. Zhang
+ Primal-Dual and Primal Interior Point Algorithms for General Nonlinear Programs 1995 Leon S. Lasdon
John Plummer
Gang Yu
+ Nonlinear Programming 1990 Anthony V. Fiacco
Garth P. McCormick
+ Nonlinear Optimization and Applications 1996 G. Di Pillo
F. Giannessi