Failure of global convergence for a class of interior point methods for nonlinear programming

Mathematical Programming ◽

10.1007/pl00011386 ◽

2000 ◽

Vol 88 (3) ◽

pp. 565-574 ◽

Author(s):

Andreas Wächter ◽

Lorenz T. Biegler

Keyword(s):

Nonlinear Programming ◽

Global Convergence ◽

Interior Point ◽

Interior Point Methods

Download Full-text

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

Journal of Optimization Theory and Applications ◽

10.1007/s10957-005-2092-4 ◽

2005 ◽

Vol 125 (3) ◽

pp. 609-628 ◽

Author(s):

X. W. Liu ◽

J. Sun

Keyword(s):

Nonlinear Programming ◽

Global Convergence ◽

Convergence Analysis ◽

Interior Point ◽

Line Search ◽

Interior Point Methods ◽

Global Convergence Analysis

Download Full-text

Solving Problems with Semidefinite and Related Constraints Using Interior-Point Methods for Nonlinear Programming

Mathematical Programming ◽

10.1007/s10107-002-0350-x ◽

2003 ◽

Vol 95 (2) ◽

pp. 279-302 ◽

Author(s):

Hande Y. Benson ◽

Robert J. Vanderbei

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods

Download Full-text

Interior-point methods for nonconvex nonlinear programming: regularization and warmstarts

Computational Optimization and Applications ◽

10.1007/s10589-007-9089-x ◽

2007 ◽

Vol 40 (2) ◽

pp. 143-189 ◽

Author(s):

Hande Y. Benson ◽

David F. Shanno

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods

Download Full-text

Interior-point methods for nonconvex nonlinear programming: cubic regularization

Computational Optimization and Applications ◽

10.1007/s10589-013-9626-8 ◽

2013 ◽

Vol 58 (2) ◽

pp. 323-346 ◽

Author(s):

Hande Y. Benson ◽

David F. Shanno

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Cubic Regularization

Download Full-text

Interior-point methods for nonconvex nonlinear programming: orderings and higher-order methods

Mathematical Programming ◽

10.1007/s101070050116 ◽

2000 ◽

Vol 87 (2) ◽

pp. 303-316 ◽

Author(s):

David F. Shanno ◽

Robert J. Vanderbei

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Higher Order ◽

Higher Order Methods

Download Full-text

Using Interior-Point Methods within an Outer Approximation Framework for Mixed Integer Nonlinear Programming

Mixed Integer Nonlinear Programming - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4614-1927-3_7 ◽

2011 ◽

pp. 225-243 ◽

Author(s):

Hande Y. Benson

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Outer Approximation ◽

Mixed Integer Nonlinear Programming ◽

Mixed Integer ◽

Integer Nonlinear Programming

Download Full-text

Mixed integer nonlinear programming using interior-point methods

Optimization Methods and Software ◽

10.1080/10556781003799303 ◽

2011 ◽

Vol 26 (6) ◽

pp. 911-931 ◽

Author(s):

Hande Y. Benson

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Mixed Integer Nonlinear Programming ◽

Mixed Integer ◽

Integer Nonlinear Programming

Download Full-text

On the Characterization of Q-Superlinear Convergence of Quasi-Newton Interior-Point Methods for Nonlinear Programming

10.21236/ada444979 ◽

1995 ◽

Author(s):

H. J. Martinez ◽

Z. Parada ◽

R. A. Tapia

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Superlinear Convergence ◽

Interior Point Methods ◽

Download Full-text

Interior-point ℓ2-penalty methods for nonlinear programming with strong global convergence properties

Mathematical Programming ◽

10.1007/s10107-005-0701-5 ◽

2006 ◽

Vol 108 (1) ◽

pp. 1-36 ◽

Author(s):

L. Chen ◽

D. Goldfarb

Keyword(s):

Nonlinear Programming ◽

Global Convergence ◽

Interior Point ◽

Penalty Methods ◽

Convergence Properties

Download Full-text

Effects of Finite-Precision Arithmetic on Interior-Point Methods for Nonlinear Programming

SIAM Journal on Optimization ◽

10.1137/s1052623498347438 ◽

2001 ◽

Vol 12 (1) ◽

pp. 36-78 ◽

Author(s):

Stephen J. Wright

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Finite Precision ◽

Finite Precision Arithmetic

Download Full-text