大型稀疏矩阵线性化方程组的数值解法

林首位; 徐宏; 侯华; 褚忠; 龚荣良

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大型稀疏矩阵线性化方程组的数值解法

更新时间：2026-09-14

- 大型稀疏矩阵线性化方程组的数值解法
- 大型稀疏矩阵线性化方程组的数值解法
- Issue 4, (2002)
- 作者机构：
  
  1. ,山西,太原,030051
  2. 华北工学院材料科学与工程系,山西,太原,030051
  3. 成都飞机工业集团有限责任公司,山西,太原,030051
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2002
- 稿件说明：
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林首位, 徐宏, 侯华, et al. 大型稀疏矩阵线性化方程组的数值解法[J]. 2002, (4).
DOI：

林首位, 徐宏, 侯华, et al. 大型稀疏矩阵线性化方程组的数值解法[J]. 2002, (4). DOI：

摘要

目的　研究大型稀疏矩阵线性化方程组的数值解法 .方法　以 C+ +为程序开发语言

采用十字链表的数据存储结构与独特的选主元以及消元策略

结合铸件凝固过程三维温度场数值模拟实例

对大型稀疏矩阵线性化方程组的数值解法进行研究 .结果　开发了相应的程序

可应用于 CASTSoft/CAE软件的温度场数值模拟 .结论　作者所采纳的数据存储结构

提出的相应数值求解算法

具有计算准确、速度较快而且比较节省内存的优点

具有一定的应用与参考价值 .

Abstract

Aim To study the numerical solving process for the large sparse matrix linear equations. Methods To realize the above aim

program developing language C++

cross list data storage structure

the special method of pivoting and elimination of pivot element were adopted. The large sparse matrix linear equations studied in this paper came from the mathematical model for numerical simulation of the 3D thermal fileds in the castings. Results The related program was developed. It was applied to CASTsoft/CAE for numerical simulation of the 3D thermal field. Conclusion Adopting the cross list data storage structure

a numerical solving algorithm for the large sparse matrix linear equations is put forward. This algorithm is worth to be referred and applied to another research areas because of its advantages such as calculating exactly

running fast and sparing memory.

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