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关于自逆变换

王琦   

  1. 中国科学院沈阳计算所
  • 出版日期:1981-03-20 发布日期:1981-03-20

王琦. 关于自逆变换[J]. 数值计算与计算机应用, 1981, 2(3): 191-193.

ON SELF-INVERSE TRANSFORMATION

  1. Wang Chi Shengang Institute of Computing Technology, Academia Sinica
  • Online:1981-03-20 Published:1981-03-20
在R~n中考虑形如 S=I-uv~T (1)的变换.其中I是单位阵,u和v都是n维列向量,T表示转置.假定已知向量a和b,求变换S,使b=Sa,S~(-1)=S.那么,如果取 u=a-b (2)并选择v使
In this paper we give a method of generating the self-inverse transformation ofthe form S =I -- uv~T and S = S~(-1), and with its specific form solve the lineareguations. The numerical stability is well. The volume of computation is more thanthe Gauss elimination and less than the Householder method. This paper might be regerdedas a note to [2].
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[1] J. H. Wilkinson, The algebraic eigenvalue problem, Oxford university press, 1965.
[2] 谭领,解线方程组的一种新方法,计算数学,1:3(1979) ,257-263.
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