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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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On the relationship of interior-point methods
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper, we show that the moving directions of the primal-affine scaling method (with logarithmic barrier function), the dual-affine scaling method (with logarithmic barrier function), and the primal-dual interior point method are merely the Newton
Ruey-Lin Sheu, Shu-Cherng Fang
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Interior point methods in the year 2025
EURO Journal on Computational OptimizationInterior point methods (IPMs) have hugely influenced the field of optimization. Their fast development has been triggered by the seminal paper of Narendra Karmarkar published in 1984 which delivered a polynomial algorithm for linear programming and ...
Jacek Gondzio
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Interior Point Methods in Function Space [PDF]
SIAM Journal on Control and Optimization, 2005 A primal-dual interior point method for optimal control problems is considered. The algorithm is directly applied to the infinite-dimensional problem. Existence and convergence of the central path are analyzed, and linear convergence of a short-step path-following method is established.
Martin Weiser
exaly +3 more sources
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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Sparse Approximations with Interior Point Methods [PDF]
SIAM Review, 2022 Large-scale optimization problems that seek sparse solutions have become ubiquitous. They are routinely solved with various specialized first-order methods. Although such methods are often fast, they usually struggle with not-so-well conditioned problems.
Valentina De Simone +4 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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Structure-Exploiting Interior Point Methods [PDF]
, 2020 Interior point methods are among the most popular techniques for large scale nonlinear optimization, owing to their intrinsic ability of scaling to arbitrary large problem sizes. Their efficiency has attracted in recent years a lot of attention due to increasing demand for large scale optimization in industry and engineering.
Jurai Kardos +2 more
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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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