Iterative Methods for Large Linear Systems of Equations and Related Questions

大型线性方程组的迭代方法及相关问题

• 批准号: 9205531
• 负责人: Lothar Reichel
• 金额: $ 24.3万
• 依托单位: Kent State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-08-01 至 1996-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9205531&HistoricalAwards=false
• 关键词: Iterative; Methods; Large; Linear; Systems

The basic goal in this proposed research is to consider iterative methods for large sparse nonsymmetric nonsingular systems of equations Gx = b. Iterative methods for such equations have received much attention in recent years. Many of the new iterative schemes are modifications of the conjugate gradient method. Such studies are of considerable importance in numeric and computational areas. Applications arise in a large number of scientific and engineering areas.

本研究的基本目标是考虑求解大型稀疏非对称非奇异方程组GX=b的迭代方法。近年来，这类方程的迭代方法受到了广泛的关注。许多新的迭代格式都是共轭梯度法的改进。这类研究在数值和计算领域具有相当重要的意义。在大量的科学和工程领域出现了应用。