The applications given feel a bit out of place. Maybe it could be given in the page about tridiagonalization, and link to that here?
The Householder transformation is mentioned on the Non-Linear Least Squares Method, as well as the QR decomposition page. There should be a link to these pages.. —Preceding unsigned comment added by 18.104.22.168 (talk) 13:27, 30 April 2011 (UTC)
This part is VERY poorly explained: "A Householder matrix has eigenvalues \pm 1. To see this, notice that if u is orthogonal to the vector v which was used to create the reflector, then Pu = u, i.e., 1 is an eigenvalue of multiplicity n − 1, since there are n − 1 vectors orthogonal to u. Also, notice Pv = − v, and so -1 is an eigenvalue with multiplicity 1." Nowhere does the writer explain why Pu=u. —Preceding unsigned comment added by 22.214.171.124 (talk) 18:58, 15 February 2011 (UTC)