---
name: "zlsets.f"
section: "3"
platform: "linux"
package: "lapack-doc"
version: "3.12.1-2"
release: "Arch Linux 2026-11-01"
platforms: ["linux"]
url: "https://new.carta.tech/zlsets.f"
---

# zlsets.f(3)

## NAME

TESTING/EIG/zlsets.f

## SYNOPSIS

### Functions/Subroutines

subroutine **zlsets** (m, p, n, a, af, lda, b, bf, ldb, c, cf, d, df, x, work, lwork, rwork, result)\
 **ZLSETS**

## Function/Subroutine Documentation

### subroutine zlsets (integer m, integer p, integer n, complex\*16, dimension( lda, \* ) a, complex\*16, dimension( lda, \* ) af, integer lda, complex\*16, dimension( ldb, \* ) b, complex\*16, dimension( ldb, \* ) bf, integer ldb, complex\*16, dimension( \* ) c, complex\*16, dimension( \* ) cf, complex\*16, dimension( \* ) d, complex\*16, dimension( \* ) df, complex\*16, dimension( \* ) x, complex\*16, dimension( lwork ) work, integer lwork, double precision, dimension( \* ) rwork, double precision, dimension( 2 ) result)

**ZLSETS**

**Purpose:**

```
!>
!> ZLSETS tests ZGGLSE - a subroutine for solving linear equality
!> constrained least square problem (LSE).
!>
```

**Parameters**

*M*

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

*P*

```
!>          P is INTEGER
!>          The number of rows of the matrix B.  P >= 0.
!>
```

*N*

```
!>          N is INTEGER
!>          The number of columns of the matrices A and B.  N >= 0.
!>
```

*A*

```
!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The M-by-N matrix A.
!>
```

*AF*

```
!>          AF is COMPLEX*16 array, dimension (LDA,N)
!>
```

*LDA*

```
!>          LDA is INTEGER
!>          The leading dimension of the arrays A, AF, Q and R.
!>          LDA >= max(M,N).
!>
```

*B*

```
!>          B is COMPLEX*16 array, dimension (LDB,N)
!>          The P-by-N matrix A.
!>
```

*BF*

```
!>          BF is COMPLEX*16 array, dimension (LDB,N)
!>
```

*LDB*

```
!>          LDB is INTEGER
!>          The leading dimension of the arrays B, BF, V and S.
!>          LDB >= max(P,N).
!>
```

*C*

```
!>          C is COMPLEX*16 array, dimension( M )
!>          the vector C in the LSE problem.
!>
```

*CF*

```
!>          CF is COMPLEX*16 array, dimension( M )
!>
```

*D*

```
!>          D is COMPLEX*16 array, dimension( P )
!>          the vector D in the LSE problem.
!>
```

*DF*

```
!>          DF is COMPLEX*16 array, dimension( P )
!>
```

*X*

```
!>          X is COMPLEX*16 array, dimension( N )
!>          solution vector X in the LSE problem.
!>
```

*WORK*

```
!>          WORK is COMPLEX*16 array, dimension (LWORK)
!>
```

*LWORK*

```
!>          LWORK is INTEGER
!>          The dimension of the array WORK.
!>
```

*RWORK*

```
!>          RWORK is DOUBLE PRECISION array, dimension (M)
!>
```

*RESULT*

```
!>          RESULT is DOUBLE PRECISION array, dimension (2)
!>          The test ratios:
!>            RESULT(1) = norm( A*x - c )/ norm(A)*norm(X)*EPS
!>            RESULT(2) = norm( B*x - d )/ norm(B)*norm(X)*EPS
!>
```

**Author**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **149** of file **zlsets.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.