Duality aspects in convex conic programming (original) (raw)

Lagrangian duality in convex conic programming with simple proofs

Jakub Hrdina

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Duality results for conic convex programming

Shuzhong Zhang

1997

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Duality of linear conic problems

Arkadi Nemirovski

2003

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Strong duality of a conic optimization problem with a single hyperplane and two cone constraints

Masakazu Kojima

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Primal and dual optimality criteria in convex programming

AHARON ben-Tal

Zeitschrift für Operations Research, 1977

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Advances in convex optimization: conic programming

Arkadi Nemirovski

Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006, 2007

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Conic convex programming and self-dual embedding

Shuzhong Zhang

Optimization Methods and Software, 2000

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A geometric characterization of strong duality in nonconvex quadratic programming with linear and nonconvex quadratic constraints

gabriel carcamo

Mathematical Programming, 2013

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New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs

Guoyin Li

Nonlinear Analysis: Theory, Methods & Applications, 2009

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Duality and Convex Programming

Jonathan Borwein

2000

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Constraint Qualifications for Extended Farkas's Lemmas and Lagrangian Dualities in Convex Infinite Programming

Gokhan Ozevin

SIAM Journal on Optimization, 2010

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On a conic approach to convex analysis

Jan Brinkhuis

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Strong duality for generalized monotropic programming in infinite dimensions

Saba Majeed, Regina Burachik

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Separated Continuous Conic Programming: Strong Duality and an Approximation Algorithm

Shuzhong Zhang

SIAM Journal on Control and Optimization, 2009

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Remarks on general infinite dimensional duality with cone and equality constraints

Rahel Zegeye

Commun. Appl. Anal, 2009

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A duality theorem for semi-infinite convex programs and their finite subprograms

Dennis Karney

Mathematical Programming, 1983

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Duality and calculi without exceptions for convex objects

Jan Brinkhuis

Report Econometric Institute Erasmus University Rotterdam, 2008

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A Geometrical Analysis of a Class of Nonconvex Conic Programs for Convex Conic Reformulations of Quadratic and Polynomial Optimization Problems

Masakazu Kojima

arXiv (Cornell University), 2019

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Ordinary convex programs without a duality gap

R. Rockafellar

Journal of Optimization Theory and Applications, 1971

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What is a Conic Linear Programming Problem

Somdeb Lahiri

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Generalized convexity for non-regular optimization problems with conic constraints

Lucelina Batista Santos

Journal of Global Optimization, 2013

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A conic representation of the convex hull of disjunctive sets and conic cuts for integer second order cone optimization

Julio C. Góez, Tamás Terlaky

2012

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Mond–Weir type second-order symmetric duality in multiobjective programming over cones

Geeta Mehndiratta

Applied Mathematics Letters, 2010

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Characterization of Weakly Efficient Solutions for Nonlinear Multiobjective Programming Problems. Duality

Majid Soleimani-damaneh

Journal of Convex Analysis

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A general correspondence between dual minimax problems and convex programs

R. Rockafellar

Pacific Journal of Mathematics, 1968

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Duality for minmax programs

Carlton Scott

Journal of Mathematical Analysis and Applications, 1984

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Partially finite convex programming, Part I: Quasi relative interiors and duality theory

Jonathan Borwein

Mathematical Programming, 1992

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Duality for convex infinite optimization on linear spaces

Miguel Goberna

Optimization Letters, 2022

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Duality in Linear Programming

Gary Knott

2013

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New glimpses on convex infinite optimization duality

Miguel Goberna

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2014

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Unified higher order duality in nondifferentiable multiobjective programming involving cones

Izhar Ahmad

Mathematical and Computer Modelling

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A Different Approach to Cone-Convex Optimization

Meetu Bhatia Grover

2013

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Regularizing the abstract convex program

Jonathan Borwein

1981

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First- and second-order optimality conditions for second-order cone and semidefinite programming under a constant rank condition

Roberto Andreani

2021

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Two Optimal Value Functions in Parametric Conic Linear Programming

Nguyen Luan

Journal of Optimization Theory and Applications, 2021

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