SKEW-REFLECTION MATRIX AND THE GENERIZATION OF HOUSEHOLDER TRANSFORMATION
斜映射矩阵和Householder变换的推广

Skew-reflection matrix which is introduced in this paper is a generization ofHouseholder matrix. This generization not only introduces a class of new numericalmethods, but also can unify many unmerical methods such as Gauss elimination, Gauss-Jordan elimination. Householder method, the LU and QR factorization of matrix, etc.It is interesting that we discover the Gauss method and the Householder method are justas the two ends of this new method.