# sorghr.f man page

sorghr.f

## Synopsis

### Functions/Subroutines

subroutine sorghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO)
SORGHR

## Function/Subroutine Documentation

### subroutine sorghr (integer N, integer ILO, integer IHI, real, dimension( lda, * ) A, integer LDA, real, dimension( * ) TAU, real, dimension( * ) WORK, integer LWORK, integer INFO)

SORGHR

Purpose:

``` 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).```
Parameters:

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```
Author:

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:

December 2016

Definition at line 128 of file sorghr.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page sorghr(3) is an alias of sorghr.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK