A TWO-STEP PRIMAL-DUAL INTERIOR POINT METHOD FOR NONLINEAR SEMIDEFINITE PROGRAMMING PROBLEMS AND ITS SUPERLINEAR CONVERGENCE

Journal of the Operations Research Society of Japan ◽

10.15807/jorsj.57.105 ◽

2014 ◽

Vol 57 (3-4) ◽

pp. 105-127

Author(s):

Yuya Yamakawa ◽

Nobuo Yamashita

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Superlinear Convergence ◽

Interior Point Method ◽

Point Method ◽

Nonlinear Semidefinite Programming ◽

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Local and superlinear convergence of a primal-dual interior point method for nonlinear semidefinite programming

Mathematical Programming ◽

10.1007/s10107-010-0354-x ◽

2010 ◽

Vol 132 (1-2) ◽

pp. 1-30 ◽

Author(s):

Hiroshi Yamashita ◽

Hiroshi Yabe

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Superlinear Convergence ◽

Interior Point Method ◽

Point Method ◽

Nonlinear Semidefinite Programming ◽

Primal Dual ◽

Local And Superlinear Convergence

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A primal–dual interior point method for nonlinear semidefinite programming

Mathematical Programming ◽

10.1007/s10107-011-0449-z ◽

2011 ◽

Vol 135 (1-2) ◽

pp. 89-121 ◽

Author(s):

Hiroshi Yamashita ◽

Hiroshi Yabe ◽

Kouhei Harada

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

Nonlinear Semidefinite Programming ◽

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An interior point method with a primal–dual quadratic barrier penalty function for nonlinear semidefinite programming

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.07.024 ◽

2015 ◽

Vol 275 ◽

pp. 148-161 ◽

Author(s):

Atsushi Kato ◽

Hiroshi Yabe ◽

Hiroshi Yamashita

Keyword(s):

Semidefinite Programming ◽

Penalty Function ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

Nonlinear Semidefinite Programming ◽

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A primal-dual interior-point method for the semidefinite programming problem based on a new kernel function

Journal of Nonlinear Functional Analysis ◽

10.23952/jnfa.2019.25 ◽

2019 ◽

Vol 2019 (1) ◽

Keyword(s):

Semidefinite Programming ◽

Programming Problem ◽

Kernel Function ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

Semidefinite Programming Problem ◽

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A primal–dual regularized interior-point method for semidefinite programming

Optimization Methods and Software ◽

10.1080/10556788.2016.1235708 ◽

2016 ◽

Vol 32 (1) ◽

pp. 193-219 ◽

Author(s):

A. Dehghani ◽

J.-L. Goffin ◽

D. Orban

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

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A feasible primal–dual interior point method for linear semidefinite programming

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.05.008 ◽

2017 ◽

Vol 312 ◽

pp. 216-230 ◽

Author(s):

Imene Touil ◽

Djamel Benterki ◽

Adnan Yassine

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

Primal Dual ◽

Linear Semidefinite Programming

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A primal-dual interior point method for parametric semidefinite programming problems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02677677 ◽

2000 ◽

Vol 16 (2) ◽

pp. 171-179

Author(s):

Wang Zhemin ◽

Zhou Kunping ◽

Huang Zhenghai

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

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A new efficient primal-dual projective interior point method for semidefinite programming

Journal of Nonlinear Functional Analysis ◽

10.23952/jnfa.2019.12 ◽

2019 ◽

Vol 2019 (1) ◽

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

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Feasibility issues in a primal-dual interior-point method for linear programming

Mathematical Programming ◽

10.1007/bf01588785 ◽

1990 ◽

Vol 49 (1-3) ◽

pp. 145-162 ◽

Author(s):

Irvin J. Lustig

Keyword(s):

Linear Programming ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

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A $$\mathcal {O}(1/k^{3/2})$$ O ( 1 / k 3 / 2 ) hybrid proximal extragradient primal–dual interior point method for nonlinear monotone mixed complementarity problems

Computational and Applied Mathematics ◽

10.1007/s40314-017-0425-1 ◽

2017 ◽

Vol 37 (2) ◽

pp. 1847-1876 ◽

Author(s):

Mauricio R. Sicre ◽

Benar F. Svaiter

Keyword(s):

Interior Point ◽

Interior Point Method ◽

Complementarity Problems ◽

Point Method ◽

Mixed Complementarity Problems ◽

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