NAME

SYNOPSIS

  SUBROUTINE SGEHRD( N, ILO, IHI, A, LDA, TAU, WORKIN, LWORKIN, INFO)
  INTEGER N, ILO, IHI, LDA, LWORKIN, INFO
  REAL A(LDA,*), TAU(*), WORKIN(*)
 
  SUBROUTINE SGEHRD_64( N, ILO, IHI, A, LDA, TAU, WORKIN, LWORKIN, 
 *      INFO)
  INTEGER*8 N, ILO, IHI, LDA, LWORKIN, INFO
  REAL A(LDA,*), TAU(*), WORKIN(*)
 

F95 INTERFACE

  SUBROUTINE GEHRD( [N], ILO, IHI, A, [LDA], TAU, [WORKIN], [LWORKIN], 
 *       [INFO])
  INTEGER :: N, ILO, IHI, LDA, LWORKIN, INFO
  REAL, DIMENSION(:) :: TAU, WORKIN
  REAL, DIMENSION(:,:) :: A
 
  SUBROUTINE GEHRD_64( [N], ILO, IHI, A, [LDA], TAU, [WORKIN], 
 *       [LWORKIN], [INFO])
  INTEGER(8) :: N, ILO, IHI, LDA, LWORKIN, INFO
  REAL, DIMENSION(:) :: TAU, WORKIN
  REAL, DIMENSION(:,:) :: A
 

C INTERFACE

void sgehrd(int n, int ilo, int ihi, float *a, int lda, float *tau, int *info);

void sgehrd_64(long n, long ilo, long ihi, float *a, long lda, float *tau, long *info);

PURPOSE

ARGUMENTS

* N (input)

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

* ILO (input)

It is assumed that A is already upper triangular in rows and columns 1:ILO-1 and IHI+1:N. ILO and IHI are normally set by a previous call to SGEBAL; otherwise they should be set to 1 and N respectively. See Further Details.

* IHI (input)

See the description of ILO.

* A (input/output)

On entry, the N-by-N general matrix to be reduced. On exit, the upper triangle and the first subdiagonal of A are overwritten with the upper Hessenberg matrix H, and the elements below the first subdiagonal, with the array TAU, represent the orthogonal matrix Q as a product of elementary reflectors. See Further Details.

* LDA (input)

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

* TAU (output)

The scalar factors of the elementary reflectors (see Further Details). Elements 1:ILO-1 and IHI:N-1 of TAU are set to zero.

* WORKIN (workspace)

On exit, if INFO = 0, WORKIN(1) returns the optimal LWORKIN.

* LWORKIN (input)

The length of the array WORKIN. LWORKIN >= max(1,N). For optimum performance LWORKIN >= N*NB, where NB is the optimal blocksize.

If LWORKIN = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORKIN array, returns this value as the first entry of the WORKIN array, and no error message related to LWORKIN is issued by XERBLA.

* INFO (output)