Block Reflectors: Theory and Computation
Robert Schreiber, Beresford Ν. Parlett · SIAM Journal on Numerical Analysis · 1988
A block reflector is an orthogonal, symmetric matrix that reverses a subspace whose dimension may be greater than one. We shall develop the properties of block reflectors and give some algorithms for computing a block reflector that introduces a block of zeros into a matrix. We consider the compact representation of block reflectors, some applications, and their use in parallel computers.