The computation of elementary unitary matrices

Authors:
R. B. Lehoucq
Affiliations:
Argonne National Lab., Argonne, IL
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1996

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Abstract

The construction of elementary unitary matrices that transform a complex vector to a multiple of e1, 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.