Kernel function-based interior-point algorithms for linear optimisation

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2019.098785 ◽

2019 ◽

Vol 9 (2) ◽

pp. 158

Author(s):

Bachir Bounibane ◽

El Amir Djeffal

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Algorithms ◽

Linear Optimisation

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Kernel function-based interior-point algorithms for linear optimisation

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2019.10018805 ◽

2019 ◽

Vol 9 (2) ◽

pp. 158

Author(s):

El Amir Djeffal ◽

Bachir Bounibane

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Algorithms ◽

Linear Optimisation

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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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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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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 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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Correction to: A new full-Newton step interior-point method for P*(κ)-LCP based on a positive-asymptotic kernel function

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01505-0 ◽

2021 ◽

Author(s):

Mingwang Zhang ◽

Kun Huang ◽

Mengmeng Li ◽

Yanli Lv

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

Newton Step ◽

Full Newton Step

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Max-min eigenvalue problems, primal-dual Interior point algorithms, and Trust region subproblemst

Optimization Methods and Software ◽

10.1080/10556789508805599 ◽

1995 ◽

Vol 5 (1) ◽

pp. 1-16 ◽

Author(s):

Franz Rendi ◽

Robert J. Vanderbei ◽

Henry Wolkowicz

Keyword(s):

Interior Point ◽

Eigenvalue Problems ◽

Trust Region ◽

Interior Point Algorithms ◽

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On a class of interior point algorithms

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542509120033 ◽

2009 ◽

Vol 49 (12) ◽

pp. 2017-2033 ◽

Author(s):

V. I. Zorkal’tsev

Keyword(s):

Interior Point ◽

Interior Point Algorithms

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