This paper proposes an infeasible interior-point algorithm with full-Newton step for linear programming, which is an extension of the work of Roos (SIAM J. Optim. 16(4):1110–1136, 2006 ). The main iteration of the algorithm consists of a feasibility step and several centrality steps. We introduce a kernel function in the algorithm to induce the feasibility step. For parameter p ∈(0,1), the polynomial complexity can be proved and the result coincides with the best result for infeasible interior-point methods, that is, O ( n log n / ε ).
Applied Mathematics and Optimization – Springer Journals
Published: Oct 1, 2009
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