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Interior-point methods for estimating seasonal parameters in discrete-time infectious disease models. [PDF]
PLoS ONE, 2013 Infectious diseases remain a significant health concern around the world. Mathematical modeling of these diseases can help us understand their dynamics and develop more effective control strategies.
Daniel P Word +4 more
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Quantum Interior Point Methods for Semidefinite Optimization [PDF]
Quantum, 2023 We present two quantum interior point methods for semidefinite optimization problems, building on recent advances in quantum linear system algorithms. The first scheme, more similar to a classical solution algorithm, computes an inexact search direction ...
Brandon Augustino +3 more
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Journal of Numerical Analysis and Approximation Theory, 2020 This paper presents a comparative numerical study between line search methods and majorant functions to compute the displacement step in barrier logarithmic method for linear programming.
Soraya Chaghoub, Djamel Benterki
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Stakeholder Perspectives on Energy Auctions: A Case Study in Roraima, Brazil
Energies, 2023 Energy auctions are commonly used to contract energy projects and are extensively studied from the regulator’s perspective. However, analyzing auctions from the stakeholders’ perspective is critical to determine the impact of regulatory details on the ...
Pedro Meirelles Villas-Bôas +2 more
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Journal of Computational and Applied Mathematics, 2000 The simplex method starts from a basic feasible solution and moves along the boundary of the feasible region until an optimum is reached. At each step, the algorithm brings only one new variable into the basic set, regardless of the total number of variables.
Potra, Florian A., Wright, Stephen J.
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An Algebraic-Based Primal–Dual Interior-Point Algorithm for Rotated Quadratic Cone Optimization
Computation, 2023 In rotated quadratic cone programming problems, we minimize a linear objective function over the intersection of an affine linear manifold with the Cartesian product of rotated quadratic cones.
Karima Tamsaouete, Baha Alzalg
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Interior-point algorithms for a class of convex optimization problems [PDF]
Yugoslav Journal of Operations Research, 2009 In this paper we consider interior-point methods (IPM) for the nonlinear, convex optimization problem where the objective function is a weighted sum of reciprocals of variables subject to linear constraints (SOR).
Lešaja Goran, Slaughter Verlynda N.
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A primal–dual interior point method for a novel type-2 second order cone optimization
Results in Control and Optimization, 2021 In this paper, we define a new, special second order cone as a type-k second order cone. We focus on the case of k=2, which can be viewed as a second order conic optimization (SOCO) problem with an additional complicating variable.
Md Sarowar Morshed +2 more
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Volumetric Barrier Cutting Plane Algorithms for Stochastic Linear Semi-Infinite Optimization
IEEE Access, 2020 In this paper, we study the two-stage stochastic linear semi-infinite programming with recourse to handle uncertainty in data defining (deterministic) linear semi-infinite programming.
Baha Alzalg, Asma Gafour, Lewa Alzaleq
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Learning to steer nonlinear interior-point methods
EURO Journal on Computational Optimization, 2019 Interior-point or barrier methods handle nonlinear programs by sequentially solving barrier subprograms with a decreasing sequence of barrier parameters.
Renke Kuhlmann
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