Results 11 to 20 of about 15,567,490 (268)

Adapting the interior point method for the solution of linear programs on high performance computers [PDF]

open access: yes, 1991
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, Mitra, G, Anderson, J
core   +7 more sources

Experimental investigations in combining primal dual interior point method and simplex based LP solvers [PDF]

open access: yes, 1993
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   +5 more
core   +6 more sources

Adapting the interior point method for the solution of LPs on serial, coarse grain parallel and massively parallel computers [PDF]

open access: yes, 1990
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
core   +6 more sources

Improved Full-Newton-Step Infeasible Interior-Point Method for Linear Complementarity Problems

open access: yesCroatian Operational Research Review, 2016
We present an Infeasible Interior-Point Method for monotone Linear Complementarity Problem (LCP) which is an improved version of the algorithm given in [13]. In the earlier version, each iteration consisted of one feasibility step and few centering steps.
Goran Lešaja, Mustafa Ozen
doaj   +1 more source

Convergence analysis of an Inexact Infeasible Interior Point method for Semidefinite Programming [PDF]

open access: yes, 2004
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, Bellavia, S
core   +1 more source

Numerical Modeling of the Leak through Semipermeable Walls for 2D/3D Stokes Flow: Experimental Scalability of Dual Algorithms

open access: yesMathematics, 2021
The paper deals with the Stokes flow subject to the threshold leak boundary conditions in two and three space dimensions. The velocity–pressure formulation leads to the inequality type problem that is approximated by the P1-bubble/P1 mixed finite ...
Jaroslav Haslinger   +3 more
doaj   +1 more source

The Symbolic Interior Point Method

open access: yesProceedings of the AAAI Conference on Artificial Intelligence, 2017
Numerical optimization is arguably the most prominent computational framework in machine learning and AI. It can be seen as an assembly language for hard combinatorial problems ranging from classification and regression in learning, to computing optimal policies and equilibria in decision theory, to entropy minimization in information ...
Mladenov, Martin   +2 more
openaire   +5 more sources

A New Hybrid Preconditioner for the Interior Point Method

open access: yesTrends in Computational and Applied Mathematics, 2019
This study aims to improve the computation of the search direction in the primal-dual Interior Point Method through preconditioned iterative methods. It is about a hybrid approach that combines the Controlled Cholesky Factorization preconditioner and ...
Manolo Rodriguez Heredia   +2 more
doaj   +1 more source

Komputasi Aliran Daya Optimal Sistem Tenaga Skala Besar dengan Metode Primal Dual Interior Point

open access: yesJurnal Rekayasa Elektrika, 2016
This paper focuses on the use of Primal Dual Interior Point method in the analysis of optimal power flow. Optimal power flow analysis with Primal Dual Interior Point method then compared with Linear Programming Method using Matpower program.
Syafii Syafii, Ikhwannul Kadri Masrul
doaj   +1 more source

Disentangling the roles of land-use-related drivers on vegetation greenness across China

open access: yesEnvironmental Research Letters, 2021
Quantifying the drivers of terrestrial vegetation dynamics is critical for monitoring ecosystem carbon sequestration and bioenergy production. Large scale vegetation dynamics can be observed using the leaf area index (LAI) derived from satellite data as ...
LinLing Tang   +3 more
doaj   +1 more source

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