## 留言板

 引用本文: 萨尔曼·哈·阿巴什, 韦凌德. 求解线性方程组的顺序算法和并行算法的理论时耗估价[J]. 应用数学和力学, 1996, 17(12): 1077-1083.
Salman H. Abbas, . The Theoretical Cost of Sequential and Parallel Algorithms for Solving Linear System of Equations[J]. Applied Mathematics and Mechanics, 1996, 17(12): 1077-1083.
 Citation: Salman H. Abbas, . The Theoretical Cost of Sequential and Parallel Algorithms for Solving Linear System of Equations[J]. Applied Mathematics and Mechanics, 1996, 17(12): 1077-1083.

## The Theoretical Cost of Sequential and Parallel Algorithms for Solving Linear System of Equations

• 摘要: 本文讨论了求解密集型线性方程组的两种并行算法。这两种算法都在下上单元(LU)分解。法的基础上使用了前向和后向置换进行的。这些算法在数值上是稳定的,并在顺序平衡机上用各种处理程序进行试验,都得到良好效果。
•  [1] A.Sameh and D.J.Kuck,On stable linear system solver,J.Assoc.Comput.Mach.,25(1978),81-89. [2] R.E.Lord,J.S.Kowalik and S.P.Kumar,Solving linear algebraic equation on MIMD computer,J.Assoc.Comput.Mach.,30,1(1983),l03-117. [3] M.J.Quinn,Designing EJjicient Algorithm for Parallel Computers,McGraw-Hill International Editions,Computer Science Series(1988). [4] G.J.Davies,Column LU Factorization with Partial Pivoting on a Hypercube Multiprocessors,Technical Report ORNL-6219,Mathematical Science,Oak Ridge,TN37831(1985). [5] S.H.Abbas,Parallel Algorithms of Linear Systems and Initial Value Problems,Ph.D Thesis,University of Liverpool(1990).

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##### 出版历程
• 收稿日期:  1995-05-24
• 刊出日期:  1996-12-15

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