Editing Householder transformation (section)

{{short description|Concept in linear algebra}}
In [[linear algebra]], a '''Householder transformation''' (also known as a '''Householder reflection''' or '''elementary reflector''') is a [[linear transformation]] that describes a [[reflection (mathematics)|reflection]] about a [[plane (mathematics)|plane]] or [[hyperplane]] containing the origin. The Householder transformation was used in a 1958 paper by [[Alston Scott Householder]].<ref>{{cite journal
 |first=A. S. |last=Householder |authorlink=Alston Scott Householder
 |title=Unitary Triangularization of a Nonsymmetric Matrix
 |journal=[[Journal of the ACM]]
 |volume=5 |issue=4 |year=1958 |pages=339&ndash;342
 |doi=10.1145/320941.320947 |mr=0111128
|s2cid=9858625 |url=https://hal.archives-ouvertes.fr/hal-01316095/file/p339householderb.pdf }}</ref>