Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability

SIAM Journal on Optimization ◽

10.1137/120903221 ◽

2015 ◽

Vol 25 (1) ◽

pp. 76-101 ◽

Author(s):

Boris S. Mordukhovich ◽

Jiří V. Outrata ◽

Héctor Ramírez C.

Keyword(s):

Variational Analysis ◽

Second Order ◽

Conic Programming

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Mixed-integer second order conic programming formulation for joint lot-sizing and pricing problem

2019 International Conference on Industrial Engineering and Systems Management (IESM) ◽

10.1109/iesm45758.2019.8948121 ◽

2019 ◽

Author(s):

Ming Liu ◽

Rongfan Liu

Keyword(s):

Second Order ◽

Conic Programming ◽

Mixed Integer ◽

Programming Formulation

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Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces

Nonlinear Analysis ◽

10.1016/j.na.2013.03.014 ◽

2013 ◽

Vol 86 ◽

pp. 159-180 ◽

Author(s):

B.S. Mordukhovich ◽

T.T.A. Nghia

Keyword(s):

Variational Analysis ◽

Second Order ◽

Optimal Solutions ◽

Infinite Dimensional

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Second-order variational analysis in second-order cone programming

Mathematical Programming ◽

10.1007/s10107-018-1345-6 ◽

2018 ◽

Vol 180 (1-2) ◽

pp. 75-116 ◽

Author(s):

Nguyen T. V. Hang ◽

Boris S. Mordukhovich ◽

M. Ebrahim Sarabi

Keyword(s):

Variational Analysis ◽

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone

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Second-Order Conic Programming Approach for Wasserstein Distributionally Robust Two-Stage Linear Programs

IEEE Transactions on Automation Science and Engineering ◽

10.1109/tase.2021.3056429 ◽

2021 ◽

pp. 1-13

Author(s):

Zhuolin Wang ◽

Keyou You ◽

Shiji Song ◽

Yuli Zhang

Keyword(s):

Second Order ◽

Conic Programming ◽

Programming Approach ◽

Linear Programs ◽

Two Stage ◽

Distributionally Robust

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An alternating direction method for second-order conic programming

Computers & Operations Research ◽

10.1016/j.cor.2013.01.010 ◽

2013 ◽

Vol 40 (7) ◽

pp. 1752-1757 ◽

Author(s):

Xuewen Mu ◽

Yaling Zhang

Keyword(s):

Alternating Direction Method ◽

Second Order ◽

Conic Programming ◽

Alternating Direction

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Generalized differentiation of piecewise linear functions in second-order variational analysis

Nonlinear Analysis ◽

10.1016/j.na.2015.11.008 ◽

2016 ◽

Vol 132 ◽

pp. 240-273 ◽

Author(s):

Boris S. Mordukhovich ◽

M. Ebrahim Sarabi

Keyword(s):

Variational Analysis ◽

Piecewise Linear ◽

Second Order ◽

Generalized Differentiation ◽

Linear Functions ◽

Piecewise Linear Functions

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Second order variational analysis of disjunctive constraint sets and its applications to optimization problems

Optimization Letters ◽

10.1007/s11590-020-01681-1 ◽

2021 ◽

Author(s):

V. D. Thinh ◽

T. D. Chuong ◽

N. L. H. Anh

Keyword(s):

Variational Analysis ◽

Optimization Problems ◽

Second Order ◽

Constraint Sets

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Variational analysis of a composite function: A formula for the lower second order epi-derivative

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(91)90312-n ◽

1991 ◽

Vol 160 (2) ◽

pp. 379-405 ◽

Author(s):

Alexander Ioffe

Keyword(s):

Variational Analysis ◽

Second Order ◽

Composite Function

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A combinatorial cut-and-lift procedure with an application to 0–1 second-order conic programming

Mathematical Programming ◽

10.1007/s10107-021-01699-y ◽

2021 ◽

Author(s):

Margarita P. Castro ◽

Andre A. Cire ◽

J. Christopher Beck

Keyword(s):

Second Order ◽

Conic Programming

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Normal and mixed partial second-order subdifferentials in variational analysis and optimization

10.1007/s11117-017-0536-3 ◽

2017 ◽

Vol 22 (3) ◽

pp. 671-685

Author(s):

Ildar Sadeqi ◽

Somayeh Nadi

Keyword(s):

Variational Analysis ◽

Second Order ◽

Variational Analysis And Optimization

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