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J. Arnal, "Multisplitting Methods for Singular Nonlinear Systems", in P. Iványi, F. Magoulès, B.H.V. Topping, (Editors), "Proceedings of the Seventh International Conference on Parallel, Distributed, GPU and Cloud Computing for Engineering", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 4, Paper 5.1, 2023, doi:10.4203/ccc.4.5.1

Keywords: parallel computing, multisplitting, nonlinear system, singular system, Newton method, Chandrasekhar H-equation.

Abstract

Multisplittings of a matrix are used to generate parallel algorithms to approximate the solutions of singular nonlinear algebraic systems. A class of parallel algorithms based on the Newton method is defined where the Jacobian is singular. The parallel methods are implemented on shared-memory parallel platforms using OpenMP. An application to the Chandrasekhar H-equation is presented. An illustration and comparison of these methods with their sequential versions is given. The speed-up on shared-memory parallel computers is recorded, achieving significative values of speed-up.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 4 PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GPU AND CLOUD COMPUTING FOR ENGINEERING Edited by: P. Iványi, F. Magoulès and B.H.V. Topping Paper 5.1 Multisplitting Methods for Singular Nonlinear Systems J. Arnal Department of Computer Science and Artificial Intelligence, University of Alicante, Spain doi:10.4203/ccc.4.5.1 Full Bibliographic Reference for this paper J. Arnal, "Multisplitting Methods for Singular Nonlinear Systems", in P. Iványi, F. Magoulès, B.H.V. Topping, (Editors), "Proceedings of the Seventh International Conference on Parallel, Distributed, GPU and Cloud Computing for Engineering", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 4, Paper 5.1, 2023, doi:10.4203/ccc.4.5.1 Keywords: parallel computing, multisplitting, nonlinear system, singular system, Newton method, Chandrasekhar H-equation. Abstract Multisplittings of a matrix are used to generate parallel algorithms to approximate the solutions of singular nonlinear algebraic systems. A class of parallel algorithms based on the Newton method is defined where the Jacobian is singular. The parallel methods are implemented on shared-memory parallel platforms using OpenMP. An application to the Chandrasekhar H-equation is presented. An illustration and comparison of these methods with their sequential versions is given. The speed-up on shared-memory parallel computers is recorded, achieving significative values of speed-up. download the full-text of this paper (PDF, 9 pages, 367 Kb) go to the previous paper return to the table of contents return to the volume description
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