On Primal—Dual Path—Following Algorithms for Semidefinite Programming

New Trends in Mathematical Programming - Applied Optimization ◽

10.1007/978-1-4757-2878-1_11 ◽

1998 ◽

pp. 137-157 ◽

Author(s):

E. de Klerk ◽

C. Roos ◽

T. Terlaky

Keyword(s):

Semidefinite Programming ◽

Path Following ◽

Primal Dual ◽

Path Following Algorithms

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Primal--Dual Path-Following Algorithms for Semidefinite Programming

SIAM Journal on Optimization ◽

10.1137/s1052623495293056 ◽

1997 ◽

Vol 7 (3) ◽

pp. 663-678 ◽

Author(s):

Renato D. C. Monteiro

Keyword(s):

Semidefinite Programming ◽

Path Following ◽

Primal Dual ◽

Path Following Algorithms

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Symmetric primal-dual path-following algorithms for semidefinite programming

Applied Numerical Mathematics ◽

10.1016/s0168-9274(98)00099-3 ◽

1999 ◽

Vol 29 (3) ◽

pp. 301-315 ◽

Author(s):

Jos F. Sturm ◽

Shuzhong Zhang

Keyword(s):

Semidefinite Programming ◽

Path Following ◽

Primal Dual ◽

Path Following Algorithms

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Superlinear Convergence of a Symmetric Primal-Dual Path Following Algorithm for Semidefinite Programming

SIAM Journal on Optimization ◽

10.1137/s1052623496299187 ◽

1998 ◽

Vol 8 (1) ◽

pp. 59-81 ◽

Author(s):

Zhi-Quan Luo ◽

Jos F. Sturm ◽

Shuzhong Zhang

Keyword(s):

Semidefinite Programming ◽

Superlinear Convergence ◽

Path Following ◽

Primal Dual ◽

Path Following Algorithm

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A unified analysis for a class of long-step primal-dual path-following interior-point algorithms for semidefinite programming

Mathematical Programming ◽

10.1007/bf01580085 ◽

1998 ◽

Vol 81 (3) ◽

pp. 281-299 ◽

Author(s):

Renato DC Monteiro ◽

Yin Zhang

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Path Following ◽

Interior Point Algorithms ◽

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A long-step primal–dual path-following method for semidefinite programming

Operations Research Letters ◽

10.1016/s0167-6377(98)00018-2 ◽

1998 ◽

Vol 23 (1-2) ◽

pp. 53-61 ◽

Author(s):

Jianmin Jiang

Keyword(s):

Semidefinite Programming ◽

Path Following ◽

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Elliptic cone optimization and primal–dual path-following algorithms

Optimization ◽

10.1080/02331934.2017.1360888 ◽

2017 ◽

Vol 66 (12) ◽

pp. 2245-2274 ◽

Author(s):

Baha Alzalg ◽

Mohammad Pirhaji

Keyword(s):

Path Following ◽

Elliptic Cone ◽

Primal Dual ◽

Path Following Algorithms

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Complexity of the primal–dual path-following algorithms for the weighted determinant maximization problems with linear matrix inequalities in the narrow neighbourhood

Optimization Methods and Software ◽

10.1080/10556780701830048 ◽

2008 ◽

Vol 23 (3) ◽

pp. 421-440

Author(s):

Yu Xia

Keyword(s):

Linear Matrix Inequalities ◽

Path Following ◽

Linear Matrix ◽

Matrix Inequalities ◽

Primal Dual ◽

Path Following Algorithms

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Polynomial Convergence of Primal-Dual Path-Following Algorithms for Symmetric Cone Programming Based on Wide Neighborhoods and a New Class of Directions

Journal of the Operations Research Society of China ◽

10.1007/s40305-017-0172-4 ◽

2017 ◽

Vol 5 (3) ◽

pp. 333-346 ◽

Author(s):

Chang-He Liu ◽

Yuan-Yuan Huang ◽

You-Lin Shang

Keyword(s):

Path Following ◽

Symmetric Cone ◽

Cone Programming ◽

New Class ◽

Symmetric Cone Programming ◽

Primal Dual ◽

Path Following Algorithms

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A convergence analysis of the scaling-invariant primal-dual path-following algorithms for second-order cone programming

Optimization Methods and Software ◽

10.1080/10556789908805750 ◽

1999 ◽

Vol 11 (1-4) ◽

pp. 141-182 ◽

Author(s):

Takashi Tsuchiya

Keyword(s):

Convergence Analysis ◽

Path Following ◽

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone ◽

Primal Dual ◽

Scaling Invariant ◽

Path Following Algorithms

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Relations Between Several Path Following Algorithms and Local and Global Newton Methods

SIAM Review ◽

10.1137/1022055 ◽

1980 ◽

Vol 22 (3) ◽

pp. 263-274 ◽

Author(s):

C. B. Garcia ◽

F. J. Gould

Keyword(s):

Path Following ◽

Newton Methods ◽

Path Following Algorithms

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