Block reflector (original) (raw)

"A block reflector is an orthogonal, symmetric matrix that reverses a subspace whose dimension may be greater than one." It is built out of many elementary reflectors. It is also referred to as a triangular factor, and is a triangular matrix and they are used in the Householder transformation. A reflector belonging to can be written in the form : where is the identity matrix for , is a scalar and belongs to .