# cqrt15.f - Man Page

TESTING/LIN/cqrt15.f

## Synopsis

### Functions/Subroutines

subroutine cqrt15 (scale, rksel, m, n, nrhs, a, lda, b, ldb, s, rank, norma, normb, iseed, work, lwork)
CQRT15

## Function/Subroutine Documentation

### subroutine cqrt15 (integer scale, integer rksel, integer m, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldb, * ) b, integer ldb, real, dimension( * ) s, integer rank, real norma, real normb, integer, dimension( 4 ) iseed, complex, dimension( lwork ) work, integer lwork)

CQRT15

Purpose:

``` CQRT15 generates a matrix with full or deficient rank and of various
norms.```
Parameters

SCALE

```          SCALE is INTEGER
SCALE = 1: normally scaled matrix
SCALE = 2: matrix scaled up
SCALE = 3: matrix scaled down```

RKSEL

```          RKSEL is INTEGER
RKSEL = 1: full rank matrix
RKSEL = 2: rank-deficient matrix```

M

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

N

```          N is INTEGER
The number of columns of A.```

NRHS

```          NRHS is INTEGER
The number of columns of B.```

A

```          A is COMPLEX array, dimension (LDA,N)
The M-by-N matrix A.```

LDA

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

B

```          B is COMPLEX array, dimension (LDB, NRHS)
A matrix that is in the range space of matrix A.```

LDB

```          LDB is INTEGER
The leading dimension of the array B.```

S

```          S is REAL array, dimension MIN(M,N)
Singular values of A.```

RANK

```          RANK is INTEGER
number of nonzero singular values of A.```

NORMA

```          NORMA is REAL
one-norm norm of A.```

NORMB

```          NORMB is REAL
one-norm norm of B.```

ISEED

```          ISEED is integer array, dimension (4)
seed for random number generator.```

WORK

`          WORK is COMPLEX array, dimension (LWORK)`

LWORK

```          LWORK is INTEGER
length of work space required.
LWORK >= MAX(M+MIN(M,N),NRHS*MIN(M,N),2*N+M)```
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 147 of file cqrt15.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page cqrt15(3) is an alias of cqrt15.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK