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Infeasible Interior-Point Methods for Linear Optimization Based on Large Neighborhood

Alireza Asadi () and Cornelis Roos ()
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Alireza Asadi: Delft University of Technology
Cornelis Roos: Delft University of Technology

Journal of Optimization Theory and Applications, 2016, vol. 170, issue 2, No 13, 562-590

Abstract: Abstract In this paper, we design a class of infeasible interior-point methods for linear optimization based on large neighborhood. The algorithm is inspired by a full-Newton step infeasible algorithm with a linear convergence rate in problem dimension that was recently proposed by the second author. Unfortunately, despite its good numerical behavior, the theoretical convergence rate of our algorithm is worse up to square root of problem dimension.

Keywords: Linear optimization; Primal-dual infeasible interior-point methods; Polynomial algorithms; 90C05; 90C51 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-015-0826-5

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