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A Full-Newton Step Interior-point Method Based on a Class of Specific Algebra Transformation
Fundamenta Informaticae, 2018We present a primal-dual path-following interior-point method for linear optimization that is based on the integer powers of the square root function. Our derived search directions is a generalization of the standard directions and the search directions given by Darvay.
Kheirfam, Behrouz, Nasrollahi, Afsaneh
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Journal of Global Optimization, 2013
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Wang, G., Yu, Changjun, Teo, Kok Lay
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Wang, G., Yu, Changjun, Teo, Kok Lay
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A full-Newton step feasible weighted primal-dual interior point algorithm for monotone LCP
Afrika Matematika, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Achache, Mohamed, Khebchache, Radia
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Journal of Optimization Theory and Applications, 2022
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A Full-Newton Step O(n) Infeasible Interior-Point Algorithm for Linear Optimization
SIAM Journal on Optimization, 2006We present a primal-dual infeasible interior-point algorithm. As usual, the algorithm decreases the duality gap and the feasibility residuals at the same rate. Assuming that an optimal solution exists, it is shown that at most $O(n)$ iterations suffice to reduce the duality gap and the residuals by the factor $1/{e}$.
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Optimization Letters, 2018
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Achache, Mohamed, Tabchouche, Nesrine
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Achache, Mohamed, Tabchouche, Nesrine
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Convergence of the homotopy path for a full-Newton step infeasible interior-point method
Operations Research Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asadi, A., Gu, G., Roos, C.
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Applied Mathematics and Optimization, 2009
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Liu, Zhongyi, Sun, Wenyu, Tian, Fangbao
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Liu, Zhongyi, Sun, Wenyu, Tian, Fangbao
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Numerical Algorithms, 2015
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Achache, Mohamed, Goutali, Moufida
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Achache, Mohamed, Goutali, Moufida
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A full-Newton step interior-point algorithm for linear optimization based on a finite barrier
Operations Research Letters, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Weiwei, Bi, Hongmei, Liu, Hongwei
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