NDLI: Efficient out-of-GPU memory strategies for solving matrix equation generated by method of moments

Content Provider	IET Digital Library
Author	Topa, T.
Abstract	The numerical solution of the dense linear complex valued system of equations generated by the method of moments (MoMs) generally proceeds by factoring the impedance matrix into LU decomposition. Depending on available hardware resources, the LU algorithm can be executed either on sequential or parallel computers. A straightforward parallel implementation of LU factorisation does not yield a well distributed workload, and therefore it is the computationally most expensive step of the MoMs process, especially when adapting to the GPU technology. Some performance improvement of LU decomposition can be achieved by applying a hybrid approach to the parallel processing model. In this reported work, the problem of accelerating an out-of-core-like LU solver on a heterogeneous low-cost single GPU/CPU computing platform is addressed. For this, a variable panel-width tuning scheme combined with a hybrid panel-based LU decomposition method is employed, which is something of a novelty in the development of dense linear algebra software. To demonstrate the efficiency of the proposed approach some numerical results are provided.
Starting Page	1542
Ending Page	1544
Page Count	3
ISSN	00135194
Volume Number	51
e-ISSN	1350911X
Issue Number	Issue 19, Sep (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/el/51/19
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/el.2015.2175
Journal	Electronics Letters
Publisher Date	2015-09-03
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Dense Linear Algebra Software Dense Linear Complex Valued Equation System DLA Software GPU Technology Graphics Processing Units Hardware ReSource Heterogeneous Low-cost Single GPU/CPU Computing Platform Hybrid Approach Hybrid Panel-based LU Decomposition Method Impedance Matrix Factorisation Linear Algebra LU Factorisation Mathematics Computing Matrix Decomposition Matrix Equation Method of Moments Method-of-moments MoM Numerical Analysis Numerical Solution Out-of-core-like LU Solver Out-of-GPU Memory Strategy Parallel Computers Parallel Processing Parallel Processing Model Parallel Software Performance Improvement Sequential Computers Variable Panel-width Tuning Scheme
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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