Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities

Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities

Self-Regularity ◽

10.1515/9781400825134.125 ◽

2009 ◽

pp. 125-158

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Second Order ◽

Conic Optimization ◽

Primal Dual

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Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities

SIAM Journal on Optimization ◽

10.1137/s1052623401383236 ◽

2002 ◽

Vol 13 (1) ◽

pp. 179-203 ◽

Cited By ~ 37

Author(s):

Jiming Peng ◽

Cornelis Roos ◽

Tamás Terlaky

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Second Order ◽

Conic Optimization ◽

Primal Dual

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Primal-Dual Interior-Point Methods for Second-Order Cone Complementarity Based on a New Class of Kernel Function

2010 Third International Joint Conference on Computational Science and Optimization ◽

10.1109/cso.2010.84 ◽

2010 ◽

Author(s):

Xue-mei Yang ◽

Hua-li Zhao ◽

Guo-ling Hu

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Second Order ◽

New Class ◽

Second Order Cone ◽

Primal Dual

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Primal-Dual Affine Scaling Interior Point Methods for Linear Complementarity Problems

SIAM Journal on Optimization ◽

10.1137/060670341 ◽

2008 ◽

Vol 19 (1) ◽

pp. 114-143 ◽

Cited By ~ 7

Author(s):

Florian A. Potra

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Affine Scaling ◽

Dual Affine ◽

Primal Dual

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Correlative Sparsity in Primal-Dual Interior-Point Methods for LP, SDP, and SOCP

Applied Mathematics & Optimization ◽

10.1007/s00245-007-9030-9 ◽

2007 ◽

Vol 58 (1) ◽

pp. 69-88 ◽

Cited By ~ 19

Author(s):

Kazuhiro Kobayashi ◽

Sunyoung Kim ◽

Masakazu Kojima

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Primal Dual

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Primal-Dual Interior-Point Methods for Semidefinite Programming in Finite Precision

SIAM Journal on Optimization ◽

10.1137/s105262349731950x ◽

2000 ◽

Vol 10 (2) ◽

pp. 462-502 ◽

Cited By ~ 12

Author(s):

Ming Gu

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Interior Point Methods ◽

Finite Precision ◽

Primal Dual

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A large-update primal–dual interior-point algorithm for second-order cone optimization based on a new proximity function

Optimization ◽

10.1080/02331934.2016.1147034 ◽

2016 ◽

Vol 65 (7) ◽

pp. 1477-1496 ◽

Cited By ~ 5

Author(s):

S. Fathi-Hafshejani ◽

H. Mansouri ◽

M. Reza Peyghami

Keyword(s):

Interior Point ◽

Second Order ◽

Interior Point Algorithm ◽

Proximity Function ◽

Second Order Cone ◽

Primal Dual

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Implementation of interior point methods for mixed semidefinite and second order cone optimization problems

Optimization Methods and Software ◽

10.1080/1055678021000045123 ◽

2002 ◽

Vol 17 (6) ◽

pp. 1105-1154 ◽

Cited By ~ 112

Author(s):

Jos F. Sturm

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Optimization Problems ◽

Second Order ◽

Second Order Cone

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A primal–dual interior point method for nonlinear optimization over second-order cones

Optimization Methods and Software ◽

10.1080/10556780902752447 ◽

2009 ◽

Vol 24 (3) ◽

pp. 407-426 ◽

Cited By ~ 19

Author(s):

Hiroshi Yamashita ◽

Hiroshi Yabe

Keyword(s):

Nonlinear Optimization ◽

Interior Point ◽

Interior Point Method ◽

Second Order ◽

Point Method ◽

Primal Dual

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Primal-dual interior-point methods for PDE-constrained optimization

Mathematical Programming ◽

10.1007/s10107-007-0168-7 ◽

2007 ◽

Vol 117 (1-2) ◽

pp. 435-485 ◽

Cited By ~ 27

Author(s):

Michael Ulbrich ◽

Stefan Ulbrich

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Interior Point Methods ◽

Pde Constrained Optimization ◽

Primal Dual

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