Provided by: liblapack-doc_3.3.1-1_all bug


       LAPACK-3 - routine i deprecated and has been replaced by routine SGEQP3



           INTEGER        INFO, LDA, M, N

           INTEGER        JPVT( * )

           REAL           A( LDA, * ), TAU( * ), WORK( * )


       This routine is deprecated and has been replaced by routine SGEQP3.
        SGEQPF computes a QR factorization with column pivoting of a
        real M-by-N matrix A: A*P = Q*R.


        M       (input) INTEGER
                The number of rows of the matrix A. M >= 0.

        N       (input) INTEGER
                The number of columns of the matrix A. N >= 0

        A       (input/output) REAL array, dimension (LDA,N)
                On entry, the M-by-N matrix A.
                On exit, the upper triangle of the array contains the
                min(M,N)-by-N upper triangular matrix R; the elements
                below the diagonal, together with the array TAU,
                represent the orthogonal matrix Q as a product of
                min(m,n) elementary reflectors.

        LDA     (input) INTEGER
                The leading dimension of the array A. LDA >= max(1,M).

        JPVT    (input/output) INTEGER array, dimension (N)
                On entry, if JPVT(i) .ne. 0, the i-th column of A is permuted
                to the front of A*P (a leading column); if JPVT(i) = 0,
                the i-th column of A is a free column.
                On exit, if JPVT(i) = k, then the i-th column of A*P
                was the k-th column of A.

        TAU     (output) REAL array, dimension (min(M,N))
                The scalar factors of the elementary reflectors.

        WORK    (workspace) REAL array, dimension (3*N)

        INFO    (output) INTEGER
                = 0:  successful exit
                < 0:  if INFO = -i, the i-th argument had an illegal value


        The matrix Q is represented as a product of elementary reflectors
           Q = H(1) H(2) . . . H(n)
        Each H(i) has the form
           H = I - tau * v * v**T
        where tau is a real scalar, and v is a real vector with
        v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i).
        The matrix P is represented in jpvt as follows: If
           jpvt(j) = i
        then the jth column of P is the ith canonical unit vector.
        Partial column norm updating strategy modified by
          Z. Drmac and Z. Bujanovic, Dept. of Mathematics,
          University of Zagreb, Croatia.
        -- April 2011                                                      --
        For more details see LAPACK Working Note 176.

 LAPACK deprecated computational routine (veApril 20111)                          SGEQPF(3lapack)