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Journal articles on the topic 'Parallel Interior Point Solver'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Gondzio, Jacek, and Robert Sarkissian. "Parallel interior-point solver for structured linear programs." Mathematical Programming 96, no. 3 (2003): 561–84. http://dx.doi.org/10.1007/s10107-003-0379-5.

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2

Gondzio, Jacek, and Andreas Grothey. "Parallel interior-point solver for structured quadratic programs: Application to financial planning problems." Annals of Operations Research 152, no. 1 (2006): 319–39. http://dx.doi.org/10.1007/s10479-006-0139-z.

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3

Rehfeldt, Daniel, Hannes Hobbie, David Schönheit, Thorsten Koch, Dominik Möst, and Ambros Gleixner. "A massively parallel interior-point solver for LPs with generalized arrowhead structure, and applications to energy system models." European Journal of Operational Research 296, no. 1 (2022): 60–71. http://dx.doi.org/10.1016/j.ejor.2021.06.063.

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4

Xu, Kun, and George A. McMechan. "3D scalar-wave absorbing boundary conditions with optimal coefficients in the frequency-space domain." GEOPHYSICS 77, no. 3 (2012): T83—T96. http://dx.doi.org/10.1190/geo2011-0412.1.

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To improve the computational efficiency for the solution of the 3D Helmholtz equation in the frequency-space domain, high-order compact forms of finite differences are preferred. We applied a pointwise Padé approximation to develop a 3D 27-point fourth-order compact finite-difference (FD) stencil in the grid interior, with a space-differentiated source term, for the scalar-wave equation; this has similar high-accuracy (4–5 grid points per the shortest wavelength) to another 27-point fourth-order FD stencil using a parsimonious mixed-grid and staggered-grid combination, but is much simpler. For

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5

Czyzyk, Joseph, Robert Fourer, and Sanjay Mehrotra. "Using a Massively Parallel Processor to Solve Large Sparse Linear Programs by an Interior-Point Method." SIAM Journal on Scientific Computing 19, no. 2 (1998): 553–65. http://dx.doi.org/10.1137/s1064827594272086.

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6

Luo, Zhijun, and Lirong Wang. "A Globally Convergent Parallel SSLE Algorithm for Inequality Constrained Optimization." Journal of Mathematics 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/461902.

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A new parallel variable distribution algorithm based on interior point SSLE algorithm is proposed for solving inequality constrained optimization problems under the condition that the constraints are block-separable by the technology of sequential system of linear equation. Each iteration of this algorithm only needs to solve three systems of linear equations with the same coefficient matrix to obtain the descent direction. Furthermore, under certain conditions, the global convergence is achieved.

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7

Li, Nan, Shou Zhen Zhu, Jing Hong Zheng, and Xiao Min Bai. "Capacity Limit of Grid-Connected Wind/Photovoltaic Hybrid Power System Based on Interior Point Algorithm." Applied Mechanics and Materials 448-453 (October 2013): 2461–67. http://dx.doi.org/10.4028/www.scientific.net/amm.448-453.2461.

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Wind/Photovoltaic hybrid generating system can alleviate power fluctuations caused by the single source and improve the system power supply reliability. In the stage of planning, the grid-connected scheme and capacity limit calculation problem is needed to solve. Under different schemes, the capacity limit is different. This paper established an optimization model of capacity limit of wind/photovoltaic power station, introduced the tracking center trajectory interior point algorithm to solve capacity limit, and demonstrated the validity of the proposed method by a simulation of IEEE 30-node sy

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8

Costantini, Giuliano, and Daniel Görges. "Fast distributed model predictive control combining ADMM, IPM and Riccati iteration." at - Automatisierungstechnik 69, no. 2 (2021): 97–110. http://dx.doi.org/10.1515/auto-2020-0106.

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Abstract In model predictive control, the control action is found at each sampling time by solving an online optimization problem. Computationally, this step is very demanding, especially if compared to the evaluation of traditional control laws. This has limited the application of model predictive control to systems with slow dynamics for many years. Recently, several methods have been proposed in the literature which promise a substantial reduction of the computation time by either running the computation in parallel (distributed model predictive control) or exploiting the problem structure

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9

Jarron, D., M. Shahbazi, D. Lichti, and R. Radovanovic. "AUTOMATIC DETECTION AND LABELLING OF PHOTOGRAMMETRIC CONTROL POINTS IN A CALIBRATION TEST FIELD." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-2/W13 (June 5, 2019): 1673–80. http://dx.doi.org/10.5194/isprs-archives-xlii-2-w13-1673-2019.

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<p><strong>Abstract.</strong> In this work, a new method is developed for the automatic and accurate detection and labelling of signalized, un-coded circular targets for the purpose of automated camera calibration in a test field. The only requirements of this method are the approximate height of the camera, an approximate range of orientations of the camera, and the object-space coordinates of the targets. In each image, circular targets are detected using adaptive thresholding and robust ellipse fitting. Labelling of those targets is performed next. First, the exterior orie

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10

Castro, Jordi. "Interior-point solver for convex separable block-angular problems." Optimization Methods and Software 31, no. 1 (2015): 88–109. http://dx.doi.org/10.1080/10556788.2015.1050014.

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11

Mészáros, Csaba. "The BPMPD interior point solver for convex quadratic problems." Optimization Methods and Software 11, no. 1-4 (1999): 431–49. http://dx.doi.org/10.1080/10556789908805758.

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12

Hübner, Jens, Martin Schmidt, and Marc C. Steinbach. "A Distributed Interior-Point KKT Solver for Multistage Stochastic Optimization." INFORMS Journal on Computing 29, no. 4 (2017): 612–30. http://dx.doi.org/10.1287/ijoc.2017.0748.

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13

Runesha, H., D. T. Nguyen, A. D. Belegundu, and T. R. Chandrupatla. "Interior point method and indefinite sparse solver for linear programming problems." Advances in Engineering Software 29, no. 3-6 (1998): 409–14. http://dx.doi.org/10.1016/s0965-9978(97)00073-2.

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14

Blomvall, Jörgen, and Per Olov Lindberg. "A Riccati-based primal interior point solver for multistage stochastic programming." European Journal of Operational Research 143, no. 2 (2002): 452–61. http://dx.doi.org/10.1016/s0377-2217(02)00301-6.

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15

Blomvall, Jörgen, and Per Olov Lindberg. "A Riccati-based primal interior point solver for multistage stochastic programming ‐ extensions." Optimization Methods and Software 17, no. 3 (2002): 383–407. http://dx.doi.org/10.1080/1055678021000033946.

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16

Stefanova, Maria, Sergey Yakunin, Margarita Petukhova, Sergey Lupuleac, and Michael Kokkolaras. "An interior-point method-based solver for simulation of aircraft parts riveting." Engineering Optimization 50, no. 5 (2017): 781–96. http://dx.doi.org/10.1080/0305215x.2017.1355367.

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17

Cafieri, S., M. D’Apuzzo, M. Marino, A. Mucherino, and G. Toraldo. "Interior-Point Solver for Large-Scale Quadratic Programming Problems with Bound Constraints." Journal of Optimization Theory and Applications 129, no. 1 (2006): 55–75. http://dx.doi.org/10.1007/s10957-006-9043-6.

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18

Frey, Jonathan, Stefano Di Cairano, and Rien Quirynen. "Active-Set based Inexact Interior Point QP Solver for Model Predictive Control." IFAC-PapersOnLine 53, no. 2 (2020): 6522–28. http://dx.doi.org/10.1016/j.ifacol.2020.12.067.

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19

Tanneau, Mathieu, Miguel F. Anjos, and Andrea Lodi. "Design and implementation of a modular interior-point solver for linear optimization." Mathematical Programming Computation 13, no. 3 (2021): 509–51. http://dx.doi.org/10.1007/s12532-020-00200-8.

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20

Piotr, Gurgul, Paszynski Maciej, and Paszynska Anna. "HYPERGRAMMAR-BASED PARALLEL MULTI-FRONTAL SOLVER FOR GRIDS WITH POINT SINGULARITIES." Computer Science 16, no. 1 (2015): 75. http://dx.doi.org/10.7494/csci.2015.16.1.75.

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21

Yang Linfeng, Li Jie, and Ge Zhihui. "Parallel Interior Point Method for Multicommodity Network Flow Problems." International Journal of Advancements in Computing Technology 5, no. 9 (2013): 86–93. http://dx.doi.org/10.4156/ijact.vol5.issue9.11.

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22

Zhao, Di. "Quick finite volume solver for incompressible Navier-Stokes equation by parallel Gram-Schmidt process based GMRES and HSS." Engineering Computations 32, no. 5 (2015): 1460–76. http://dx.doi.org/10.1108/ec-02-2014-0032.

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Purpose – The purpose of this paper is to develop Triple Finite Volume Method (tFVM), the author discretizes incompressible Navier-Stokes equation by tFVM, which leads to a special linear system of saddle point problem, and most computational efforts for solving the linear system are invested on the linear solver GMRES. Design/methodology/approach – In this paper, by recently developed preconditioner Hermitian/Skew-Hermitian Separation (HSS) and the parallel implementation of GMRES, the author develops a quick solver, HSS-pGMRES-tFVM, for fast solving incompressible Navier-Stokes equation. Fin

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23

Wang, Weichung. "Final iterations in interior point methods – preconditioned conjugate gradients and modified search directions." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 41, no. 3 (2000): 312–28. http://dx.doi.org/10.1017/s0334270000011267.

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AbstractIn this article we consider modified search directions in the endgame of interior point methods for linear programming. In this stage, the normal equations determining the search directions become ill-conditioned. The modified search directions are computed by solving perturbed systems in which the systems may be solved efficiently by the preconditioned conjugate gradient solver. A variation of Cholesky factorization is presented for computing a better preconditioner when the normal equations are ill-conditioned. These ideas have been implemented successfully and the numerical results

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24

Settergren, R. "RESECTION AND MONTE CARLO COVARIANCE FROM VANISHING POINTS FOR IMAGES OF UNKNOWN ORIGIN." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLIII-B2-2020 (August 12, 2020): 487–94. http://dx.doi.org/10.5194/isprs-archives-xliii-b2-2020-487-2020.

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Abstract. Photogrammetric analysis requires camera metadata (position, attitude, interior orientation, etc.), which is not available for all images. Modern commercial solutions for 3D reconstruction from images typically assume large amounts of purposefully-collected, highly-overlapping imagery. In this article, a system is demonstrated for recovering a 3D scene from images of unknown origin, by marking ground space axes, resecting a camera consistent with the markings, and then using the solved camera to collect 3D measurements. The capability works with close-range (vanishing points) and lon

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25

Iakymchuk, Roman, Maria Barreda Vayá, Stef Graillat, José I. Aliaga, and Enrique S. Quintana-Ortí. "Reproducibility of parallel preconditioned conjugate gradient in hybrid programming environments." International Journal of High Performance Computing Applications 34, no. 5 (2020): 502–18. http://dx.doi.org/10.1177/1094342020932650.

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The Preconditioned Conjugate Gradient method is often employed for the solution of linear systems of equations arising in numerical simulations of physical phenomena. While being widely used, the solver is also known for its lack of accuracy while computing the residual. In this article, we propose two algorithmic solutions that originate from the ExBLAS project to enhance the accuracy of the solver as well as to ensure its reproducibility in a hybrid MPI + OpenMP tasks programming environment. One is based on ExBLAS and preserves every bit of information until the final rounding, while the ot

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26

GOTO, Kazuya, Junji SHIGA, Masae HAYASHI, Taira OKITA, and Hiroshi OKUDA. "Parallel Iterative Equation Solver with Multi-Point Constraint Preconditioning for Assembled Structural Analysis." TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 78, no. 789 (2012): 708–17. http://dx.doi.org/10.1299/kikaia.78.708.

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27

Błaszczyk, Jacek, Andrzej Karbowski, and Krzysztof Malinowski. "Object Library of Algorithms for Dynamic Optimization Problems: Benchmarking SQP and Nonlinear Interior Point Methods." International Journal of Applied Mathematics and Computer Science 17, no. 4 (2007): 515–37. http://dx.doi.org/10.2478/v10006-007-0043-y.

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Object Library of Algorithms for Dynamic Optimization Problems: Benchmarking SQP and Nonlinear Interior Point MethodsThe main purpose of this paper is to describe the design, implementation and possibilities of our object-oriented library of algorithms for dynamic optimization problems. We briefly present library classes for the formulation and manipulation of dynamic optimization problems, and give a general survey of solver classes for unconstrained and constrained optimization. We also demonstrate methods of derivative evaluation that we used, in particular automatic differentiation. Furthe

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28

Sivaramakrishnan, Kartik Krishnan. "A parallel interior point decomposition algorithm for block angular semidefinite programs." Computational Optimization and Applications 46, no. 1 (2008): 1–29. http://dx.doi.org/10.1007/s10589-008-9187-4.

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29

Mesbahi, M., G. P. Papavassilopoulos, and V. K. Prasanna. "On The Parallel And Vlsi Implementation Of The Interior Point Algorithms." International Journal of Modelling and Simulation 19, no. 4 (1999): 405–9. http://dx.doi.org/10.1080/02286203.1999.11759970.

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30

Gondzio, Jacek, and Andreas Grothey. "Exploiting structure in parallel implementation of interior point methods for optimization." Computational Management Science 6, no. 2 (2008): 135–60. http://dx.doi.org/10.1007/s10287-008-0090-3.

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31

Gertz, E. Michael, and Joshua D. Griffin. "Using an iterative linear solver in an interior-point method for generating support vector machines." Computational Optimization and Applications 47, no. 3 (2009): 431–53. http://dx.doi.org/10.1007/s10589-008-9228-z.

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32

Gondzio, Jacek. "HOPDM (version 2.12) — A fast LP solver based on a primal-dual interior point method." European Journal of Operational Research 85, no. 1 (1995): 221–25. http://dx.doi.org/10.1016/0377-2217(95)00163-k.

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33

Auricchio, F., M. Ferretti, A. Lefieux, et al. "Parallelizing a finite element solver in computational hemodynamics." International Journal of High Performance Computing Applications 32, no. 3 (2016): 351–62. http://dx.doi.org/10.1177/1094342016649245.

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In the last 20 years, a new approach has emerged to investigate the physiopathology of circulation. By merging medical images with validated numerical models, it is possible to support doctors’ decision-making process. The iCardioCloud project aims at establishing a computational framework to perform a complete patient-specific numerical analysis, specially oriented to aortic diseases (like dissections or aneurysms) and to deliver a compelling synthesis. The project can be considered a pioneering example of a Computer Aided Clinical Trial: i.e., a comprehensive analysis of patients where the l

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34

Alonso, P., F. Argüeso, R. Cortina, J. Ranilla, and A. M. Vidal. "Non-linear parallel solver for detecting point sources in CMB maps using Bayesian techniques." Journal of Mathematical Chemistry 51, no. 4 (2012): 1153–63. http://dx.doi.org/10.1007/s10910-012-0078-7.

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35

Barakos, G., M. Vahdati, A. I. Sayma, C. Bréard, and M. Imregun. "A fully distributed unstructured Navier-Stokes solver for large-scale aeroelasticity computations." Aeronautical Journal 105, no. 1050 (2001): 419–26. http://dx.doi.org/10.1017/s0001924000012392.

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Abstract This paper presents the development and validation of a parallel unsteady flow and aeroelasticity code for large-scale numerical models used in turbo machinery applications. The work is based on an existing unstructured Navier-Stokes solver developed over the past ten years by the Aeroelasticity Research Group at Imperial College Vibration University Technology Centre. The single-process multiple-data paradigm was adopted for the parallelisation of the solver and several validation cases were considered. The computational mesh was divided into several sub-sections using a domain decom

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36

Durazzi, C., V. Ruggiero, and G. Zanghirati. "Parallel Interior-Point Method for Linear and Quadratic Programs with Special Structure." Journal of Optimization Theory and Applications 110, no. 2 (2001): 289–313. http://dx.doi.org/10.1023/a:1017523228692.

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37

Grote, M. J., J. Huber, and O. Schenk. "Interior Point Methods for the Inverse Medium Problem on Massively Parallel Architectures." Procedia Computer Science 4 (2011): 1466–74. http://dx.doi.org/10.1016/j.procs.2011.04.159.

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38

Pesteh, Shabnam, Hamed Moayyed, Vladimiro Miranda, et al. "A new interior point solver with generalized correntropy for multiple gross error suppression in state estimation." Electric Power Systems Research 176 (November 2019): 105937. http://dx.doi.org/10.1016/j.epsr.2019.105937.

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39

Ohmori, Shunichi, and Kazuho Yoshimoto. "A Primal-Dual Interior-Point Method for Facility Layout Problem with Relative-Positioning Constraints." Algorithms 14, no. 2 (2021): 60. http://dx.doi.org/10.3390/a14020060.

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We consider the facility layout problem (FLP) in which we find the arrangements of departments with the smallest material handling cost that can be expressed as the product of distance times flows between departments. It is known that FLP can be formulated as a linear programming problem if the relative positioning of departments is specified, and, thus, can be solved to optimality. In this paper, we describe a custom interior-point algorithm for solving FLP with relative positioning constraints (FLPRC) that is much faster than the standard methods used in the general-purpose solver. We build

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40

Bisseling, R. H., T. M. Doup, and L. D. J. C. Loyens. "A parallel interior point algorithm for linear programming on a network of transputers." Annals of Operations Research 43, no. 2 (1993): 49–86. http://dx.doi.org/10.1007/bf02024486.

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41

Ndayikengurutse, Adrien, and Siming Huang. "Implementation of Presolving and Interior-Point Algorithm for Linear & Mixed Integer Programming: SOFTWARE." Journal of Systems Science and Information 8, no. 3 (2020): 195–223. http://dx.doi.org/10.21078/jssi-2020-195-29.

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AbstractLinear and mixed integer programming are very popular and important methods to make efficient scientific management decision. With large size of real application data, the use of linear-mixed integer programming is facing problems with more complexity; therefore, preprocessing techniques become very important. Preprocessing aims to check and delete redundant information from the problem formulation. It is a collection of techniques that reduce the size of the problem and try to strengthen the formulation. Fast and effective preprocessing techniques are very important and essential for

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42

Khayatzadeh, Farid, and Jafar Ghafouri. "Dynamical Modeling of Frequency Controlled Variable Speed Parallel Multistage Centrifugal Pumps." Archive of Mechanical Engineering 62, no. 3 (2015): 347–62. http://dx.doi.org/10.1515/meceng-2015-0020.

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Abstract This paper presents a development of a model of a set of multistage centrifugal electro pumps including two 4 stage stainless steel centrifugal pumps, each coupled to a 4 kW three-phase induction motor, connected to a hydraulic application running under two control strategies including constant speed and variable speed methods. Each pump provides 16 m3/hr flow rate and 58mwater head at BEP (Best Efficiency Point). Dynamicity of the model causes variations in all operational parameters of pumping system in any variation on consuming flow rate. Each electro pump has been driven with a v

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43

Mantas, José M., and Francesco Vecil. "Hybrid OpenMP-CUDA parallel implementation of a deterministic solver for ultrashort DG-MOSFETs." International Journal of High Performance Computing Applications 34, no. 1 (2019): 81–102. http://dx.doi.org/10.1177/1094342019879985.

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The simulation of ultrashort two-dimensional double gate metal-oxide semiconductor field-effect transistors and similar semiconductor devices through a deterministic mesoscopic, hence accurate, model can be very useful for the industry: It can provide reference results for macroscopic solvers and properly describe weakly charged zones of the device. For the scope of this work, we use a Boltzmann–Schrödinger–Poisson model. Its drawback is being particularly costly from the computational point of view, and a purely sequential code may take weeks to simulate high voltages. In this article, we dev

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44

Tiwari, P., Y. Chen, Y. Xie, and J. Deasy. "SU-E-T-640: Using An Open Source Interior Point Optimization Solver for Intensity Modulated Radiotherapy Treatment Planning." Medical Physics 40, no. 6Part21 (2013): 353. http://dx.doi.org/10.1118/1.4815068.

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45

Yamakawa, Eiki, Yasuhiro Matsubara, and Masao Fukushima. "A PARALLEL PRIMAL-DUAL INTERIOR POINT METHOD FOR MULTICOMMODITY FLOW PROBLEMS WITH QUADRATIC COSTS." Journal of the Operations Research Society of Japan 39, no. 4 (1996): 566–91. http://dx.doi.org/10.15807/jorsj.39.566.

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46

Durazzi, C., and V. Ruggiero. "Numerical solution of special linear and quadratic programs via a parallel interior-point method." Parallel Computing 29, no. 4 (2003): 485–503. http://dx.doi.org/10.1016/s0167-8191(03)00018-8.

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47

Goldberg, Andrew V., Serge A. Plotkin, David B. Shmoys, and Eva Tardos. "Using Interior-Point Methods for Fast Parallel Algorithms for Bipartite Matching and Related Problems." SIAM Journal on Computing 21, no. 1 (1992): 140–50. http://dx.doi.org/10.1137/0221011.

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48

Zavala, Victor M., Carl D. Laird, and Lorenz T. Biegler. "Interior-point decomposition approaches for parallel solution of large-scale nonlinear parameter estimation problems." Chemical Engineering Science 63, no. 19 (2008): 4834–45. http://dx.doi.org/10.1016/j.ces.2007.05.022.

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49

Piwonski, J., and T. Slawig. "Metos3D: a marine ecosystem toolkit for optimization and simulation in 3-D – Simulation Package v0.2." Geoscientific Model Development Discussions 8, no. 6 (2015): 4401–51. http://dx.doi.org/10.5194/gmdd-8-4401-2015.

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Abstract. A general programming interface for parameter identification for marine ecosystem models is introduced. A comprehensive solver software for periodic steady-states is implemented that includes a fixed point iteration (spin-up) and a Newton solver. The software is based on the Portable, Extensible Toolkit for Scientific Computation (PETSc) library and uses transport matrices for efficient off-line simulation in 3-D. In addition to the usage of PETSc's parallel data structures and PETSc's Newton solver, an own load balancing algorithm is implemented. A simple verification is carried out

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50

SABIR, ZULQURNAIN, MUHAMMAD ASIF ZAHOOR RAJA, and DUMITRU BALEANU. "FRACTIONAL MAYER NEURO-SWARM HEURISTIC SOLVER FOR MULTI-FRACTIONAL ORDER DOUBLY SINGULAR MODEL BASED ON LANE–EMDEN EQUATION." Fractals 29, no. 05 (2021): 2140017. http://dx.doi.org/10.1142/s0218348x2140017x.

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This research is related to present a novel fractional Mayer neuro-swarming intelligent solver for the numerical treatment of multi-fractional order doubly singular Lane–Emden (LE) equation using combined investigations of the Mayer wavelet (MW) neural networks (NNs) optimized by the global search effectiveness of particle swarm optimization (PSO) and interior-point (IP) method, i.e. MW-NN-PSOIP. The design of novel fractional Mayer neuro-swarming intelligent solver for multi-fractional order doubly singular LE equation is derived from the standard LE model and the shape factors; fractional or

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