# zgeqpf.f man page

zgeqpf.f —

## Synopsis

### Functions/Subroutines

subroutinezgeqpf(M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO)ZGEQPF

## Function/Subroutine Documentation

### subroutine zgeqpf (integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex*16, dimension( * )TAU, complex*16, dimension( * )WORK, double precision, dimension( * )RWORK, integerINFO)

**ZGEQPF**

**Purpose:**

```
This routine is deprecated and has been replaced by routine ZGEQP3.
ZGEQPF computes a QR factorization with column pivoting of a
complex M-by-N matrix A: A*P = Q*R.
```

**Parameters:**

*M*

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

*N*

```
N is INTEGER
The number of columns of the matrix A. N >= 0
```

*A*

```
A is COMPLEX*16 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 unitary matrix Q as a product of
min(m,n) elementary reflectors.
```

*LDA*

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

*JPVT*

```
JPVT is 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*

```
TAU is COMPLEX*16 array, dimension (min(M,N))
The scalar factors of the elementary reflectors.
```

*WORK*

`WORK is COMPLEX*16 array, dimension (N)`

*RWORK*

`RWORK is DOUBLE PRECISION array, dimension (2*N)`

*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

Univ. of Colorado Denver

NAG Ltd.

**Date:**

November 2011

**Further Details:**

```
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**H
where tau is a complex scalar, and v is a complex 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.
```

Definition at line 149 of file zgeqpf.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

zgeqpf(3) is an alias of zgeqpf.f(3).