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大型线性代数方程组解法的探讨 被引量:3

A Method for Solving Large Size Linear Algebraic Equations
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摘要 针对Saint Venant方程组离散后所形成的线性代数方程组的求解问题 ,将Gauss列主元消去法与压缩存贮技术相结合 ,提出了存贮单元少、舍入误差小且数值计算稳定的计算方法 ,使得河网非恒定流的数值计算更加高效 ,并且计算的精度可得到充分的保证 . Two kinds of methods are commonly used for solving large size linear algebraic equations which are derived from Saint Venant equations:one is the elimination method,and another is the double sweeping method.Two methods,however,have the disadvantage that they would fail when the denominator is zero or machine zero.This paper proposes a method which combines the Gauss main element elimination method with compress storage technique to solve the equations more efficiently and accurately.The application of the method to a large network proves that it is an efficient method with less storage requirement,small rounding off error and high stability.
出处 《河海大学学报(自然科学版)》 CAS CSCD 北大核心 2001年第2期38-42,共5页 Journal of Hohai University(Natural Sciences)
关键词 河网 非恒定流 列主元消去法 压缩存贮 river network main element elimination method compress storage
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参考文献3

  • 1吴寿红.河网非恒定流四级解算法[J].水利学报,1985,(8).
  • 2Feng Ping,Hydraulic Engineering ASCE,1996年,125卷,3期,271页
  • 3吴寿红,水利学报,1985年,8期,42页

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