Primal-Dual Interior-Point Algorithms for Semidefinite Optimization Based on a Simple Kernel Function

Journal of Mathematical Modelling and Algorithms ◽

10.1007/s10852-005-3561-3 ◽

2005 ◽

Vol 4 (4) ◽

pp. 409-433 ◽

Author(s):

G. Q. Wang ◽

Y. Q. Bai ◽

C. Roos

Keyword(s):

Kernel Function ◽

Interior Point ◽

Semidefinite Optimization ◽

Interior Point Algorithms ◽

Primal Dual ◽

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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 new primal-dual interior-point method for semidefinite optimization based on a parameterized kernel function

Optimization and Engineering ◽

10.1007/s11081-020-09516-9 ◽

2020 ◽

Author(s):

Mengmeng Li ◽

Mingwang Zhang ◽

Kun Huang ◽

Zhengwei Huang

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

Semidefinite Optimization ◽

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A class of polynomial primal-dual interior-point algorithms for semidefinite optimization

Journal of Shanghai University (English Edition) ◽

10.1007/s11741-006-0114-6 ◽

2006 ◽

Vol 10 (3) ◽

pp. 198-207 ◽

Author(s):

Guo-qiang Wang ◽

Yan-qin Bai

Keyword(s):

Interior Point ◽

Semidefinite Optimization ◽

Interior Point Algorithms ◽

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A new kernel function yielding the best known iteration bounds for primal-dual interior-point algorithms

Acta Mathematica Sinica English Series ◽

10.1007/s10114-009-6457-8 ◽

2009 ◽

Vol 25 (12) ◽

pp. 2169-2178 ◽

Author(s):

Yan Qin Bai ◽

Jin Li Guo ◽

Cornelis Roos

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Algorithms ◽

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Analysis of complexity of primal-dual interior-point algorithms based on a new kernel function for linear optimization

Numerical Algebra Control & Optimization ◽

10.3934/naco.2015.5.37 ◽

2015 ◽

Vol 5 (1) ◽

pp. 37-46

Author(s):

Siqi Li ◽

◽

Weiyi Qian

Keyword(s):

Kernel Function ◽

Interior Point ◽

Linear Optimization ◽

Interior Point Algorithms ◽

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Complexity analysis of primal-dual interior-point methods for semidefinite optimization based on a parametric kernel function with a trigonometric barrier term

Numerical Algebra Control & Optimization ◽

10.3934/naco.2015.5.101 ◽

2015 ◽

Vol 5 (2) ◽

pp. 101-113

Author(s):

Guoqiang Wang ◽

◽

Zhongchen Wu ◽

Zhongtuan Zheng ◽

Xinzhong Cai

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Complexity Analysis ◽

Semidefinite Optimization ◽

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A unified kernel function approach to primal-dual interior-point algorithms for convex quadratic SDO

Numerical Algorithms ◽

10.1007/s11075-010-9444-3 ◽

2011 ◽

Vol 57 (4) ◽

pp. 537-558 ◽

Author(s):

Guoqiang Wang ◽

Detong Zhu

Keyword(s):

Kernel Function ◽

Interior Point ◽

Function Approach ◽

Interior Point Algorithms ◽

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Primal-dual interior-point algorithm for semidefinite optimization based on a new kernel function with trigonometric barrier term

Numerical Algorithms ◽

10.1007/s11075-012-9557-y ◽

2012 ◽

Vol 61 (4) ◽

pp. 659-680 ◽

Author(s):

Behrouz Kheirfam

Keyword(s):

Kernel Function ◽

Interior Point ◽

Semidefinite Optimization ◽

Interior Point Algorithm ◽

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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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Kernel function based interior-point algorithms for semidefinite optimization

Mathematical Inequalities & Applications ◽

10.7153/mia-16-98 ◽

2013 ◽

pp. 1279-1294

Author(s):

Yong-Hoon Lee ◽

Jin-Hee Jin ◽

Gyeong-Mi Cho

Keyword(s):

Kernel Function ◽

Interior Point ◽

Semidefinite Optimization ◽

Interior Point Algorithms

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