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标题: 求助关于householder和given rotation [打印本页]

作者: mysummer1995 时间: 2006-12-8 01:04
标题: 求助关于householder和given rotation

谁知道这道题应该怎么解啊?!谢谢帮助!

Let x 2 Rm and let H be a Householder reflection such that Hx = ±||x||2e1. Let
G1,2, G2,3, ..., Gm−1,m be Givins rotations and let G = G1,2G2,3...Gm−1,m. Suppose
Gx = ±||x||2e1. Must H equal G? You need to give a proof or a counterexample.

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