数值代数中值得探索的几个问题  

SEVERAL TOPICS IN NUMERICAL ALGEBRA

作　　者：蔡大用[1] 

机构地区：[1]清华大学

出　　处：《数值计算与计算机应用》1999年第4期312-316,共5页Journal on Numerical Methods and Computer Applications

基　　金：国家重点基础研究专项经费资助!G1998020306

摘　　要：Based upon the author’s research experiences, several topics in numerical algebraare proposed in this paper. Iterative solution for huge linear systems, theory of precondition, the relationship between pseudo-spectrum and behaviors of iterative algorithmsare emphased.Specially, l the author thinks of that the theory and algorithms for simultaneouspolynomial equations should be push forward in the near further.Based upon the author's research experiences, several topics in numerical algebraare proposed in this paper. Iterative solution for huge linear systems, theory of precondition, the relationship between pseudo-spectrum and behaviors of iterative algorithmsare emphased.Specially, l the author thinks of that the theory and algorithms for simultaneouspolynomial equations should be push forward in the near further.

关 键 词：数值代数 计算数学 线性方程组 范数 

分 类 号：O241.6[理学—计算数学]