Computational Technology Resources - CCC

Y. Jiang¹, F. Magoulès², X. Wang¹ and Q. Zou¹

¹School of Science, Beijing University of Posts and Telecommunications, China
²CentraleSupélec, Paris-Saclay University, Gif-sur-Yvette, France

doi:10.4203/ccc.8.5.4

Y. Jiang, F. Magoulès, X. Wang, Q. Zou, "GPU-Accelerated Iterative Refinement Based on Induced Dimension Reduction", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Twelfth International Conference on Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 8, Paper 5.4, 2024, doi:10.4203/ccc.8.5.4

Keywords: induced dimension reduction, iterative refinement, mixed precision, Krylov subspace methods, linear systems, parallel computing.

Abstract

The resolution of large scale linear systems is still a significant challenge in scientific computing. In this paper we consider the induced dimension reduction method and iterative refinement scheme for solving nonsymmetric linear systems. We formulate an IR outer scheme based on the IDR inner solver and perform a numerical study of its finite precision behavior. The algorithm is implemented on a graphics processing unit using the CUDA programming tool.

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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: 8 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 5.4 GPU-Accelerated Iterative Refinement Based on Induced Dimension Reduction Y. Jiang¹, F. Magoulès², X. Wang¹ and Q. Zou¹ ¹School of Science, Beijing University of Posts and Telecommunications, China ²CentraleSupélec, Paris-Saclay University, Gif-sur-Yvette, France doi:10.4203/ccc.8.5.4 Full Bibliographic Reference for this paper Y. Jiang, F. Magoulès, X. Wang, Q. Zou, "GPU-Accelerated Iterative Refinement Based on Induced Dimension Reduction", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Twelfth International Conference on Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 8, Paper 5.4, 2024, doi:10.4203/ccc.8.5.4 Keywords: induced dimension reduction, iterative refinement, mixed precision, Krylov subspace methods, linear systems, parallel computing. Abstract The resolution of large scale linear systems is still a significant challenge in scientific computing. In this paper we consider the induced dimension reduction method and iterative refinement scheme for solving nonsymmetric linear systems. We formulate an IR outer scheme based on the IDR inner solver and perform a numerical study of its finite precision behavior. The algorithm is implemented on a graphics processing unit using the CUDA programming tool. download the full-text of this paper (PDF, 10 pages, 678 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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