Three-parametric Method for Solving a System with Periodic Block-tridiagonal Matrix

周少玲; 张凯院

您当前的位置：

首页 >

文章列表页 >

Three-parametric Method for Solving a System with Periodic Block-tridiagonal Matrix

更新时间：2026-09-14

- Three-parametric Method for Solving a System with Periodic Block-tridiagonal Matrix
- 解周期块状三对角线性方程组的三参数组方法
- Issue 3, Pages: 157-160(2005)
- 作者机构：
  
  1. ,山西,太原,030051
  2. 西北工业大学应用数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2005
- 稿件说明：
移动端阅览
周少玲, 张凯院. Three-parametric Method for Solving a System with Periodic Block-tridiagonal Matrix[J]. 2005, (3): 157-160.
DOI：

周少玲, 张凯院. Three-parametric Method for Solving a System with Periodic Block-tridiagonal Matrix[J]. 2005, (3): 157-160. DOI：

摘要

　建立了求解系数矩阵为周期块状三对角矩阵的大型线性代数方程组的三参数组方法.当方程组由100个子方程构成时

该算法所需的乘除法运算量仅是Guass消去法的0.25%.对于一些Guass消去法无法解决的问题

新算法可以解决

因此它是对Guass方法的补充.

Abstract

The three-parametric method is developed to solve large scale linear algebraic equations with periodic block-tridiagonal matrix. When the equations consist of 100 sub-equation

its computational cost is only 0.25 percent of which Gauss elimination method costs. Some problems can be solved by this method

while Gauss elimination method can′t solve. So it is a supplement to Gauss elimination method.

关键词

Keywords

references

　WilliamsonDL,DrakeJB,HackJJ,JakobChienR,SwarztrauberPN.Astandardtestsetfornumericalapproximationstotheshallowwaterequationsinsphericalgeometry[J].J.Comput.Phys.,1992,102:211-224.

　NiheiT,IshiiK.Afastsolveroftheshallowwaterequationsonasphereusingacombinedcompactdifferencescheme[J].J.Comput.Phys.,2003,187:639-659.

　EvansDJ.Directmethodsofsolutionofpartialdifferentialequationswithperiodicboundaryconditions[J].MathematicsandComputerinSimulation,1979,XXI:270-275.

　AtkinsonKE.数值分析引论(中译本)[M].上海:上海科学技术出版社,1986.370-376.

　程云鹏,张凯院,徐仲.矩阵论[M].第2版.西安:西北工业大学出版社,1999.109-138.

Views

100

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Hopkinson Bar Pulse Width Extension Test Method Based on Polyurethane Wave Shaper

Configuration Design and Research of a Hybrid Quadruped Perilla Sowing Robot

High⁃Precision Photoeletric Coordinate Positioning Technology Based on Transformer⁃FPGA Collaborative Feature Modeling

机器人机构设计与控制专栏

Network Intrusion Detection Model Based on Recurrence Plot and MobileViT⁃AESTF

Related Author

No data

Related Institution

No data

⁰