The Computation of Elementary Unitary Matrices

@article{Lehoucq1996TheCO,
  title={The Computation of Elementary Unitary Matrices},
  author={Richard B. Lehoucq},
  journal={ACM Trans. Math. Softw.},
  year={1996},
  volume={22},
  pages={393-400}
}
The construction of elementary unitary matrices that transform a complex vector to a multiple of <italic>e</italic><subscrpt>1</subscrpt>, the first column of the identity matrix, is studied. We present four variants and their software implementation, including a discussion onthe LAPACK subroutine CLARFG. Comparisons are also given. 
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