SORGHR generates a real orthogonal matrix Q which is defined as the


 product of IHI-ILO elementary reflectors of order N, as returned by


 SGEHRD:


 Q = H(ilo) H(ilo+1) . . . H(ihi-1).

N

          N is INTEGER


          The order of the matrix Q. N >= 0.

ILO

          ILO is INTEGER

IHI

          IHI is INTEGER


          ILO and IHI must have the same values as in the previous call


          of SGEHRD. Q is equal to the unit matrix except in the


          submatrix Q(ilo+1:ihi,ilo+1:ihi).


          1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

A

          A is REAL array, dimension (LDA,N)


          On entry, the vectors which define the elementary reflectors,


          as returned by SGEHRD.


          On exit, the N-by-N orthogonal matrix Q.

LDA

          LDA is INTEGER


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

TAU

          TAU is REAL array, dimension (N-1)


          TAU(i) must contain the scalar factor of the elementary


          reflector H(i), as returned by SGEHRD.

WORK

          WORK is REAL array, dimension (MAX(1,LWORK))


          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

LWORK

          LWORK is INTEGER


          The dimension of the array WORK. LWORK >= IHI-ILO.


          For optimum performance LWORK >= (IHI-ILO)*NB, where NB is


          the optimal blocksize.


          If LWORK = -1, then a workspace query is assumed; the routine


          only calculates the optimal size of the WORK array, returns


          this value as the first entry of the WORK array, and no error


          message related to LWORK is issued by XERBLA.

INFO

          INFO is INTEGER


          = 0:  successful exit


          < 0:  if INFO = -i, the i-th argument had an illegal value

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December 2016