Lehoucq, Richard2018-06-182018-06-181994-02Lehoucq, Richard. "The Computation of Elementary Unitary Matrices." (1994) <a href="https://hdl.handle.net/1911/101830">https://hdl.handle.net/1911/101830</a>.https://hdl.handle.net/1911/101830The construction of elementary unitary matrices that transform a complex vector to a real multiple of e1, the first column of the identity matrix, is studied. We survey the two well known forms and present what appears to be relatively unknown third form implemented by LAPACK and subroutine CLARFG.9 ppengTechnical reportTR94-09