LQ Decomposition and Null Space

Given a matrix A(m,n) where m<=n, LAPACK subroutine DGELQF calculates
the LQ decomposition A=(L 0)Q where L(m,m) and Q(n,n). The subroutine
DORGLQ forms the first m rows of the matrix Q. These rows correspond
to the Transpose(Range) space of the matrix A. The null space
transpose corresponds to the n-m rows of Q. Does anyone know of an
efficient way to form this null space?

Michael

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Relevant Pages

  • Re: LQ Decomposition and Null Space
    ... the LQ decomposition A=Q where Land Q. ... DORGLQ forms the first m rows of the matrix Q. These rows correspond ...
    (comp.lang.fortran)
  • Null Space
    ... Given a matrix Awhere m<=n, LAPACK subroutine DGELQF calculates ... the LQ decomposition A=Q where Land Q. ... DORGLQ forms the first m rows of the matrix Q. These rows correspond ...
    (sci.math.num-analysis)