Validated Infeasible Interior-Point Predictor–Corrector Methods for Linear Programming
Numerical Algorithms, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail I. Idriss, Wolfgang V. Walter
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A truncated primal-infeasible dual-feasible network interior point method
Networks, 2000Summary: The authors introduce the truncated primal-infeasible dual-feasible interior point algorithm for linear programming and describe an implementation of this algorithm for solving the minimum-cost network flow problem. In each iteration, the linear system that determines the search direction is computed inexactly, and the norm of the resulting ...
Luis F. Portugal +3 more
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Applying Infeasible Interior Point Method to SQP for Constrained Nonlinear Programming
2008 International Conference on Computer Science and Software Engineering, 2008Active set (AS) method suffers deteriorating performance and premature convergence when it is faced with a nonlinear programming problem (NLP) consisting of several inequality constraints. Thus, we propose an SQP/IPM algorithm that uses infeasible interior point method (IIPM) for solving quadratic programming (QP) subproblems.
Hassan A. Bashir +2 more
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Convergent Infeasible Interior-Point Trust-Region Methods for Constrained Minimization
SIAM Journal on Optimization, 2002Summary: We study an infeasible primal-dual interior-point trust-region method for constrained minimization. This method uses a log-barrier function for the slack variables and updates the slack variables using second-order correction. We show that if a certain set containing the initial iterate is bounded and the origin is not in the convex hull of ...
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A wide neighborhood infeasible-interior-point method with arc-search for -SCLCPs
Optimization, 2017In this paper, we propose an arc-search infeasible-interior-point method based on the wide neighbourhood for linear complementarity problems over symmetric cones with the Cartesian -property (-SCLC...
M. Sayadi Shahraki +2 more
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Infeasible interior-point method for symmetric optimization using a positive-asymptotic barrier
Computational Optimization and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petra Renáta Rigó, Zsolt Darvay
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High Order Infeasible-Interior-Point Methods for Solving Sufficient Linear Complementarity Problems
Mathematics of Operations Research, 1998In this paper we develop systematically infeasible-interior-point methods of arbitrarily high order for solving horizontal linear complementarity problems that are sufficient in the sense of Cottle, Pang and Venkateswaran (1989). The results apply to degenerate problems and problems having no strictly complementary solution.
J. Stoer, M. Wechs, S. Mizuno
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A Infeasible Interior point homotopy method for solving linear complementarity problem
2010 3rd International Conference on Advanced Computer Theory and Engineering(ICACTE), 2010A global convergence Infeasible Interior point homotopy method for solving linear complementarity problem has been introduced in this paper. We give the homotopy equation and prove in details the existence of the smooth path from almost any positive orthant initial point to a solution of LCP. We give several preliminary numerical results.
null Junyan Xu +2 more
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A new infeasible interior-point method based on Darvay’s technique for symmetric optimization
Annals of Operations Research, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An improved and modified infeasible interior-point method for symmetric optimization
Asian-European Journal of Mathematics, 2016In this paper an improved and modified version of full Nesterov–Todd step infeasible interior-point methods for symmetric optimization published in [A new infeasible interior-point method based on Darvay’s technique for symmetric optimization, Ann. Oper. Res. 211(1) (2013) 209–224; G. Gu, M. Zangiabadi and C.
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