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Adaptive full newton-step infeasible interior-point method for sufficient horizontal LCP

Optimization Methods and Software, 2018
An adaptive full Newton-step infeasible-interior-point method for solving sufficient horizontal linear complementarity problems is analysed and sufficient conditions are given for the superlinear c...
Goran Lesaja, Florian Potra
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A full-Newton step infeasible interior-point algorithm for P *(κ) linear complementarity problem

Journal of Systems Science and Complexity, 2014
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Zhu, Danhua, Zhang, Mingwang
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Complexity of Full-Newton Step Algorithm for Linear Complementarity Problem

2013
In this paper, we analyze the effect of making equivalent transformations for the central path from \( xs=\mu e \) to \( xs=\mu v \), so we obtain a new search direction. For a full-Newton step interior-point algorithm based on this search direction, we have the best known complexity bound is \( \mathrm{ O}(\sqrt{\mathrm{ n}}\ \mathrm{ lon}\varepsilon /
Xiaoyu Gong, Zhenpeng Hu, Xianjia Wang
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A full-Newton step infeasible interior-point method based on a trigonometric kernel function without centering steps

Numerical Algorithms, 2019
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Kheirfam, Behrouz, Haghighi, Masoumeh
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Simplified analysis for full-Newton step infeasible interior-point algorithm for semidefinite programming

Optimization, 2013
We present an analysis of the full-Newton step infeasible interior-point algorithm for semidefinite optimization, which is an extension of the algorithm introduced by Roos [C. Roos, A full-Newton step 𝒪(n) infeasible interior-point algorithm for linear optimization, SIAM J. Optim. 16 (2006), pp. 1110–1136] for the linear optimization case.
Lipu Zhang, Liming Sun, Yinghong Xu
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Kernel-Based Full-Newton Step Feasible Interior-Point Algorithm for $$P_{*}(\kappa )$$-Weighted Linear Complementarity Problem

Journal of Optimization Theory and Applications, 2023
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Xiaoni Chi, Guoqiang Wang, Goran Lesaja
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An adaptive updating full-Newton step interior-point algorithm with modified Newton direction

Applied Numerical Mathematics, 2015
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Xu, Yinghong   +3 more
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An adaptive infeasible interior-point algorithm with full-Newton step for linear optimization

Optimization, 2013
We present an adaptive full-Newton step infeasible interior-point method for linear optimization, which is an improved version of the algorithm introduced by Roos [C. Roos, A full-Newton step O(n) infeasible interior-point algorithm for linear optimization, SIAM J. Optim. 16 (2006), pp. 1110–1136].
H. Mansouri, M. Zangiabadi
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A modified infeasible interior-point algorithm with full-Newton step for semidefinite optimization

International Journal of Computer Mathematics, 2018
Recently, Mansouri et al. (J. Optim. Theory Appl. 166: 605-618, 2015) presented an improved infeasible interior-point algorithm for linear optimization.
Weiwei Wang, Hongwei Liu, Hongmei Bi
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A Full-Newton Step Infeasible Interior-Point Algorithm Based on Darvay Directions for Linear Optimization

Journal of Mathematical Modelling and Algorithms in Operations Research, 2013
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Ahmadi, K., Hasani, F., Kheirfam, B.
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