Householder transformation

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 is the first step of the QR algorithm. The Householder transformation was introduced in 1958 by Alston Scott Householder. Its analogue over general inner product spaces is the Householder operator.

Householder transformation

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 is the first step of the QR algorithm. The Householder transformation was introduced in 1958 by Alston Scott Householder. Its analogue over general inner product spaces is the Householder operator.