# zlagge.f - Man Page

TESTING/MATGEN/zlagge.f

## Synopsis

### Functions/Subroutines

subroutine zlagge (m, n, kl, ku, d, a, lda, iseed, work, info)
ZLAGGE

## Function/Subroutine Documentation

### subroutine zlagge (integer m, integer n, integer kl, integer ku, double precision, dimension( * ) d, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( 4 ) iseed, complex*16, dimension( * ) work, integer info)

ZLAGGE

Purpose:

``` ZLAGGE generates a complex general m by n matrix A, by pre- and post-
multiplying a real diagonal matrix D with random unitary matrices:
A = U*D*V. The lower and upper bandwidths may then be reduced to
kl and ku by additional unitary transformations.```
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.```

KL

```          KL is INTEGER
The number of nonzero subdiagonals within the band of A.
0 <= KL <= M-1.```

KU

```          KU is INTEGER
The number of nonzero superdiagonals within the band of A.
0 <= KU <= N-1.```

D

```          D is DOUBLE PRECISION array, dimension (min(M,N))
The diagonal elements of the diagonal matrix D.```

A

```          A is COMPLEX*16 array, dimension (LDA,N)
The generated m by n matrix A.```

LDA

```          LDA is INTEGER
The leading dimension of the array A.  LDA >= M.```

ISEED

```          ISEED is INTEGER array, dimension (4)
On entry, the seed of the random number generator; the array
elements must be between 0 and 4095, and ISEED(4) must be
odd.
On exit, the seed is updated.```

WORK

`          WORK is COMPLEX*16 array, dimension (M+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

NAG Ltd.

Definition at line 113 of file zlagge.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK