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

David F. Shanno; Robert J. Vanderbei

doi:10.1007/s101070050116

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

Mathematical Programming ◽

10.1007/s101070050116 ◽

2000 ◽

Vol 87 (2) ◽

pp. 303-316 ◽

Cited By ~ 44

Author(s):

David F. Shanno ◽

Robert J. Vanderbei

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Higher Order ◽

Higher Order Methods

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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 ◽

Cited By ~ 34

Author(s):

Hande Y. Benson ◽

Robert J. Vanderbei

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods

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Polynomial convergence of two higher order interior-point methods for $$P_*(\kappa )$$ P ∗ ( κ ) -LCP in a wide neighborhood of the central path

Periodica Mathematica Hungarica ◽

10.1007/s10998-017-0231-y ◽

2017 ◽

Vol 76 (2) ◽

pp. 243-264 ◽

Cited By ~ 4

Author(s):

Behrouz Kheirfam ◽

Maryam Chitsaz

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Higher Order ◽

Central Path ◽

Wide Neighborhood

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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 ◽

Cited By ~ 27

Author(s):

Hande Y. Benson ◽

David F. Shanno

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods

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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 ◽

Cited By ~ 11

Author(s):

Hande Y. Benson ◽

David F. Shanno

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Cubic Regularization

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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 ◽

Cited By ~ 7

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

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Higher-Order Predictor-Corrector Interior Point Methods with Application to Quadratic Objectives

SIAM Journal on Optimization ◽

10.1137/0803036 ◽

1993 ◽

Vol 3 (4) ◽

pp. 696-725 ◽

Cited By ~ 52

Author(s):

Tamra J. Carpenter ◽

Irvin J. Lusting ◽

John M. Mulvey ◽

David F. Shanno

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Higher Order ◽

Predictor Corrector

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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 ◽

Cited By ~ 4

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

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Mixed integer nonlinear programming using interior-point methods

Optimization Methods and Software ◽

10.1080/10556781003799303 ◽

2011 ◽

Vol 26 (6) ◽

pp. 911-931 ◽

Cited By ~ 8

Author(s):

Hande Y. Benson

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Mixed Integer Nonlinear Programming ◽

Mixed Integer ◽

Integer Nonlinear Programming

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

10.21236/ada444979 ◽

1995 ◽

Cited By ~ 2

Author(s):

H. J. Martinez ◽

Z. Parada ◽

R. A. Tapia

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Superlinear Convergence ◽

Interior Point Methods ◽

Quasi Newton

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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 ◽

Cited By ~ 18

Author(s):

Stephen J. Wright

Keyword(s):

Nonlinear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Finite Precision ◽

Finite Precision Arithmetic

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