Analysis of Interior-Point Paths
Infeasible-interior-point paths are the main tools in interior-point methods for solving many kinds of optimization problems. These paths are usually parametrized by a penalty-parameter r ↓ 0 and further parameters describing their off-centrality and infeasiblilty. Starting with an early result of C. Witzgall et al.
Stoer, J.
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Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization. [PDF]
Interior point methods provide an attractive class of approaches for solving linear, quadratic and nonlinear programming problems, due to their excellent efficiency and wide applicability.
Pearson JW, Gondzio J.
europepmc +2 more sources
Experimental investigations in combining primal dual interior point method and simplex based LP solvers [PDF]
The use of a primal dual interior point method (PD) based optimizer as a robust linear programming (LP) solver is now well established. Instead of replacing the sparse simplex algorithm (SSX), the PD is increasingly seen as complementing it. The progress
Levkovitz, R, Mitra, G, Tamiz, M
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Adapting the interior point method for the solution of linear programs on high performance computers [PDF]
In this paper we describe a unified algorithmic framework for the interior point method (IPM) of solving Linear Programs (LPs) which allows us to adapt it over a range of high performance computer architectures. We set out the reasons as to why IPM makes
Levkovitz, R +5 more
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Adapting the interior point method for the solution of LPs on serial, coarse grain parallel and massively parallel computers [PDF]
In this paper we describe a unified scheme for implementing an interior point algorithm (IPM) over a range of computer architectures. In the inner iteration of the IPM a search direction is computed using Newton's method.
Levkovitz, R +3 more
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Predator survival analysis of a Prey-Predator system with prey species pool
In this paper we study prey-predator relationship in the presence of prey species pool. We describe the set of parameters when the predator will survive and find the threshold when you lose predator survival.
Thadei Sagamiko +2 more
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We introduce a new predictor-corrector interior-point algorithm for solving P⁎(κ)-linear complementarity problems which works in a wide neighbourhood of the central path.
Tibor Illés +2 more
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The main objective of the paper is to explain, compare and conclude the effect on the new psychoactive substances (NPS) market brought by new and innovative responses to regulate the NPS (mostly between 2010 and 2014) in Estonia, Latvia, Lithuania ...
Artur Malczewski +1 more
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Convergence analysis of an Inexact Infeasible Interior Point method for Semidefinite Programming [PDF]
In this paper we present an extension to SDP of the well known infeasible Interior Point method for linear programming of Kojima,Megiddo and Mizuno (A primal-dual infeasible-interior-point algorithm for Linear Programming, Math. Progr., 1993).
Pieraccini, Sandra +2 more
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Robust Interior Point Method for Quantum Key Distribution Rate Computation [PDF]
Security proof methods for quantum key distribution, QKD, that are based on the numerical key rate calculation problem, are powerful in principle. However, the practicality of the methods are limited by computational resources and the efficiency and ...
Hao Hu +4 more
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