Primal–dual interior-point algorithms for second-order cone optimization based on kernel functions

Nonlinear Analysis ◽

10.1016/j.na.2008.07.016 ◽

2009 ◽

Vol 70 (10) ◽

pp. 3584-3602 ◽

Author(s):

Y.Q. Bai ◽

G.Q. Wang ◽

C. Roos

Keyword(s):

Interior Point ◽

Kernel Functions ◽

Second Order ◽

Interior Point Algorithms ◽

Second Order Cone ◽

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Primal-dual Interior-point Algorithms for Second-order Cone Optimization Based on a New Parametric Kernel Function

Acta Mathematica Sinica English Series ◽

10.1007/s10114-007-0967-z ◽

2007 ◽

Vol 23 (11) ◽

pp. 2027-2042 ◽

Author(s):

Yan Qin Bai ◽

Guo Qiang Wang

Keyword(s):

Kernel Function ◽

Interior Point ◽

Second Order ◽

Interior Point Algorithms ◽

Second Order Cone ◽

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A Comparative Study of Kernel Functions for Primal-Dual Interior-Point Algorithms in Linear Optimization

SIAM Journal on Optimization ◽

10.1137/s1052623403423114 ◽

2004 ◽

Vol 15 (1) ◽

pp. 101-128 ◽

Author(s):

Y. Q. Bai ◽

M. El Ghami ◽

C. Roos

Keyword(s):

Comparative Study ◽

Interior Point ◽

Linear Optimization ◽

Kernel Functions ◽

Interior Point Algorithms ◽

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NUMERICAL RESULTS OF PRIMAL-DUAL INTERIOR-POINT ALGORITHMS FOR SEMIDEFINITE OPTIMIZATION BASED ON KERNEL FUNCTIONS

Far East Journal of Applied Mathematics ◽

10.17654/fjamdec2015_231_245 ◽

2015 ◽

Vol 93 (3) ◽

pp. 231-245

Author(s):

Adama Coulibaly ◽

David Paul Tuo ◽

Assohoun Adje

Keyword(s):

Interior Point ◽

Kernel Functions ◽

Numerical Results ◽

Semidefinite Optimization ◽

Interior Point Algorithms ◽

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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 ◽

Author(s):

S. Fathi-Hafshejani ◽

H. Mansouri ◽

M. Reza Peyghami

Keyword(s):

Interior Point ◽

Second Order ◽

Interior Point Algorithm ◽

Proximity Function ◽

Second Order Cone ◽

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On extending kernel-based interior point algorithms for linear programming to convex quadratic second-order cone programming

2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD) ◽

10.1109/fskd.2015.7382065 ◽

2015 ◽

Author(s):

Yanfang Li ◽

Xibo Duan ◽

Jia Gu

Keyword(s):

Linear Programming ◽

Interior Point ◽

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Interior Point Algorithms ◽

Second Order Cone

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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 ◽

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Primal-dual interior-point algorithms with dynamic step-size based on kernel functions for linear programming

Journal of Shanghai University (English Edition) ◽

10.1007/s11741-005-0021-2 ◽

2005 ◽

Vol 9 (5) ◽

pp. 391-396 ◽

Author(s):

Zhong-gen Qian ◽

Yan-qin Bai

Keyword(s):

Linear Programming ◽

Interior Point ◽

Kernel Functions ◽

Step Size ◽

Interior Point Algorithms ◽

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A class of polynomial interior-point algorithms for the Cartesian second-order cone linear complementarity problem

Nonlinear Analysis ◽

10.1016/j.na.2010.07.036 ◽

2010 ◽

Vol 73 (12) ◽

pp. 3705-3722 ◽

Author(s):

G.Q. Wang ◽

D.T. Zhu

Keyword(s):

Linear Complementarity Problem ◽

Interior Point ◽

Complementarity Problem ◽

Linear Complementarity ◽

Second Order ◽

Interior Point Algorithms ◽

Second Order Cone

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

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.06.034 ◽

2009 ◽

Vol 215 (3) ◽

pp. 1047-1061 ◽

Author(s):

G.Q. Wang ◽

Y.Q. Bai

Keyword(s):

Interior Point ◽

Second Order ◽

Interior Point Algorithm ◽

Second Order Cone ◽

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A primal–dual interior point method for a novel type-2 second order cone optimization

Results in Control and Optimization ◽

10.1016/j.rico.2021.100042 ◽

2021 ◽

pp. 100042

Author(s):

Md. Sarowar Morshed ◽

Chrysafis Vogiatzis ◽

Md. Noor-E-Alam

Keyword(s):

Interior Point ◽

Interior Point Method ◽

Second Order ◽

Point Method ◽

Second Order Cone ◽

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