豪斯霍尔德变换（Householder transformation）或译「豪斯霍德转换」，又称初等反射（Elementary reflection），最初由A.C Aitken在1932年提出。Alston Scott Householder在1958年指出了这一变换在数值线性代数上的意义。这一变换将一个矢量变换为由一个超平面反射的镜像，是一种线性变换。其变换矩阵被称作豪斯霍尔德矩阵，在一般内积空间中的类比被称作豪斯霍尔德算子。超平面的法矢量被称作豪斯霍尔德矢量。

In linear algebra, a Householder transformation (also known as Householder reflection or elementary reflector) is a linear transformation that describes a reflection about a plane or hyperplane containing the origin. Householder transformations are widely used in numerical linear algebra, to perform QR decompositions and in the first step of the QR algorithm. The Householder transformation was introduced in 1958 by Alston Scott Householder.