Givens矩阵和Househoder矩阵的几个性质
Henan Science(2016)
Abstract
利用矩阵的分解证明了每个行列式为1的正交(酉)方阵都可表为有限个Givens矩阵的乘积,每个行列式为-1的正交(酉)方阵都可表为有限个Givens矩阵和一个Househoder矩阵的乘积.
MoreKey words
Givens matrice,Householder matrice,orthogonal matrice,unitary matrice,determinate
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