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Self-Scaled Barriers and Interior-Point Methods for Convex Programming

JOURNAL ARTICLE published February 1997 in Mathematics of Operations Research

Authors: Yu. E. Nesterov | M. J. Todd

https://doi.org/10.1287/moor.22.1.1 Actions

On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods

JOURNAL ARTICLE published 17 October 2002 in Foundations of Computational Mathematics

Authors: Yu. E. Nesterov | M. J. Todd

https://doi.org/10.1007/s102080010032 Actions

Hyperbolic Polynomials and Interior Point Methods for Convex Programming

JOURNAL ARTICLE published May 1997 in Mathematics of Operations Research

Authors: Osman Güler

https://doi.org/10.1287/moor.22.2.350 Actions

Interior-point methods for convex programming

JOURNAL ARTICLE published November 1992 in Applied Mathematics & Optimization

Authors: Florian Jarre

https://doi.org/10.1007/bf01371086 Actions

A full Nesterov–Todd-step feasible primal–dual interior point algorithm for convex quadratic semi-definite optimization

JOURNAL ARTICLE published March 2014 in Applied Mathematics and Computation

Authors: Mohamed Achache | Loubna Guerra

https://doi.org/10.1016/j.amc.2013.12.070 Actions

A new full Nesterov–Todd step feasible interior-point method for convex quadratic symmetric cone optimization

JOURNAL ARTICLE published September 2013 in Applied Mathematics and Computation

Authors: G.Q. Wang | C.J. Yu | K.L. Teo

https://doi.org/10.1016/j.amc.2013.06.064 Actions

Simplified analysis of a full Nesterov–Todd step infeasible interior-point method for symmetric optimization

JOURNAL ARTICLE published December 2015 in Asian-European Journal of Mathematics

Authors: Behrouz Kheirfam

https://doi.org/10.1142/s1793557115500710 Actions

New complexity analysis of a full Nesterov–Todd step interior-point method for semidefinite optimization

JOURNAL ARTICLE published December 2017 in Asian-European Journal of Mathematics

Authors: Behrouz Kheirfam

https://doi.org/10.1142/s179355711750070x Actions

A combined homotopy interior point method for convex nonlinear programming

JOURNAL ARTICLE published July 1997 in Applied Mathematics and Computation

Authors: Zhenghua Lin | Bo Yu | Guochen Feng

https://doi.org/10.1016/s0096-3003(96)00086-0 Actions

Book Review: Primal-dual interior-point methods

JOURNAL ARTICLE published 1 April 1998 in Mathematics of Computation

Authors: Michael J. Todd | Zhimin Zhang | Jet Wimp | Nico M. Temme

https://doi.org/10.1090/s0025-5718-98-00967-3 Actions

Book Review: A mathematical view of interior-point methods in convex optimization

JOURNAL ARTICLE published 12 September 2003 in Mathematics of Computation

Authors: Robert M. Freund

https://doi.org/10.1090/s0025-5718-03-01659-4 Actions

Asymptotic Behavior of Interior-Point Methods: A View From Semi-Infinite Programming

JOURNAL ARTICLE published May 1996 in Mathematics of Operations Research

Authors: Levent Tunçel | Michael J. Todd

https://doi.org/10.1287/moor.21.2.354 Actions

Parabolic target space and primal–dual interior-point methods

JOURNAL ARTICLE published June 2008 in Discrete Applied Mathematics

Authors: Yu. Nesterov

https://doi.org/10.1016/j.dam.2007.05.002 Actions

Generalization of Primal—Dual Interior-Point Methods to Convex Optimization Problems in Conic Form

JOURNAL ARTICLE published July 2001 in Foundations of Computational Mathematics

Authors: Levent Tunçel

https://doi.org/10.1007/s002080010009 Actions

Simplified full Nesterov–Todd step infeasible interior-point algorithm for semidefinite optimization based on a kernel function

JOURNAL ARTICLE published February 2019 in Journal of Applied Mathematics and Computing

Research funded by Natural Science Basis Research Plan in Shaanxi Province of China (2017JM1014)

Authors: Weiwei Wang | Hongwei Liu | Hongmei Bi

https://doi.org/10.1007/s12190-018-1187-7 Actions

A primal-dual interior-point algorithm for second-order cone optimization with full Nesterov–Todd step

JOURNAL ARTICLE published October 2009 in Applied Mathematics and Computation

Authors: G.Q. Wang | Y.Q. Bai

https://doi.org/10.1016/j.amc.2009.06.034 Actions

Dual interior point methods for linear semidefinite programming problems

JOURNAL ARTICLE published December 2011 in Computational Mathematics and Mathematical Physics

Authors: V. G. Zhadan | A. A. Orlov

https://doi.org/10.1134/s0965542511120189 Actions

Infinite-dimensional quadratic optimization: Interior-point methods and control applications

JOURNAL ARTICLE published July 1997 in Applied Mathematics & Optimization

Authors: L. Faybusovich | J. B. Moore

https://doi.org/10.1007/bf02683337 Actions

On a Wide Region of Centers and Primal-Dual Interior Point Algorithms for Linear Programming

JOURNAL ARTICLE published May 1997 in Mathematics of Operations Research

Authors: Jos F. Sturm | Shuzhong Zhang

https://doi.org/10.1287/moor.22.2.408 Actions

Experimental behavior of an interior point cutting plane algorithm for convex programming: an application to geometric programming

JOURNAL ARTICLE published March 1994 in Discrete Applied Mathematics

Authors: O. Bahn | J.L. Goffin | J.P. Vial | O. Du Merle

https://doi.org/10.1016/0166-218x(94)90198-8 Actions
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