# zung2r(3) [centos man page]

```zung2r.f(3)							      LAPACK							       zung2r.f(3)

NAME
zung2r.f -

SYNOPSIS
Functions/Subroutines
subroutine zung2r (M, N, K, A, LDA, TAU, WORK, INFO)
ZUNG2R

Function/Subroutine Documentation
subroutine zung2r (integerM, integerN, integerK, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16,
dimension( * )WORK, integerINFO)
ZUNG2R

Purpose:

ZUNG2R generates an m by n complex matrix Q with orthonormal columns,
which is defined as the first n columns of a product of k elementary
reflectors of order m

Q  =	H(1) H(2) . . . H(k)

as returned by ZGEQRF.

Parameters:
M

M is INTEGER
The number of rows of the matrix Q. M >= 0.

N

N is INTEGER
The number of columns of the matrix Q. M >= N >= 0.

K

K is INTEGER
The number of elementary reflectors whose product defines the
matrix Q. N >= K >= 0.

A

A is COMPLEX*16 array, dimension (LDA,N)
On entry, the i-th column must contain the vector which
defines the elementary reflector H(i), for i = 1,2,...,k, as
returned by ZGEQRF in the first k columns of its array
argument A.
On exit, the m by n matrix Q.

LDA

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

TAU

TAU is COMPLEX*16 array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by ZGEQRF.

WORK

WORK is COMPLEX*16 array, dimension (N)

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument has an illegal value

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
November 2011

Definition at line 115 of file zung2r.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       zung2r.f(3)```

## Check Out this Related Man Page

```ZUNG2R(l)								 )								 ZUNG2R(l)

NAME
ZUNG2R - generate an m by n complex matrix Q with orthonormal columns,

SYNOPSIS
SUBROUTINE ZUNG2R( M, N, K, A, LDA, TAU, WORK, INFO )

INTEGER	  INFO, K, LDA, M, N

COMPLEX*16	  A( LDA, * ), TAU( * ), WORK( * )

PURPOSE
ZUNG2R  generates an m by n complex matrix Q with orthonormal columns, which is defined as the first n columns of a product of k elementary
reflectors of order m

Q	=  H(1) H(2) . . . H(k)

as returned by ZGEQRF.

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

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

K       (input) INTEGER
The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.

A       (input/output) COMPLEX*16 array, dimension (LDA,N)
On entry, the i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k,  as  returned	by
ZGEQRF in the first k columns of its array argument A.  On exit, the m by n matrix Q.

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

TAU     (input) COMPLEX*16 array, dimension (K)
TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGEQRF.

WORK    (workspace) COMPLEX*16 array, dimension (N)

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

LAPACK version 3.0						   15 June 2000 							 ZUNG2R(l)```
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