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Review of Parallel Methods for Solving Sets of Linear Equations and Their Application within Optimisation Algorithms

机译：求解线性方程组的并行方法及其在优化算法中的应用

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When solving optimisation problems on a parallel computing system, the first consideration must be to utilize the parallelism to speed up the 95% of the time typically spent in function and gradient evaluations or the division of each function evaluation into a number of parallel tasks. Assuming this prime task has been undertaken effectively then for efficiency the other 5% of the computation must also utilize the parallelism available on the system. The dominant remaining calculation is usually the solution of a set of linear equations. In this paper the implication of parallel processing on the solution method for solving linear equations will be reviewed.

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作者
Dixon, L. C.;
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年度 1987
页码 p.1-22
总页数 22
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Parallel processing; Gradients; Linear differential equations; Test and evaluation; Computer applications; Solutions(General);

机译：并行处理;梯度;线性微分方程;测试与评估;计算机应用;解决方案（综合）;

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4. Efficient parallel algorithms for solving set recurrence equationsand applications [C] . Ibarra O.H., Hui Wang, Tao Jiang Proceedings of the 1995 IEEE/ASME Joint Railroad Conference, 1995, 1995 . 1995

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5. Solving large sparse systems of nonlinear equations and nonlinear least squares problems using tensor methods on sequential and parallel computers*. [D] . Bouaricha, Ali. 1992

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6. On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations [O] . S. A. Edalatpanah, M. M. Rashidi 2014

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7. Data Distribution and Communication Schemes for Solving Sparse Systems of Linear Equations from FE Applications by Parallel CG Methods [O] . Basermann Achim 1994

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Review of Parallel Methods for Solving Sets of Linear Equations and Their Application within Optimisation Algorithms

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