---
name: "clakf2.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/clakf2.f"
---

# clakf2.f(3)

## NAME

TESTING/MATGEN/clakf2.f

## SYNOPSIS

### Functions/Subroutines

subroutine **clakf2** (m, n, a, lda, b, d, e, z, ldz)\
 **CLAKF2**

## Function/Subroutine Documentation

### subroutine clakf2 (integer m, integer n, complex, dimension( lda, \* ) a, integer lda, complex, dimension( lda, \* ) b, complex, dimension( lda, \* ) d, complex, dimension( lda, \* ) e, complex, dimension( ldz, \* ) z, integer ldz)

**CLAKF2**

**Purpose:**

```
!>
!> Form the 2*M*N by 2*M*N matrix
!>
!>        Z = [ kron(In, A)  -kron(B', Im) ]
!>            [ kron(In, D)  -kron(E', Im) ],
!>
!> where In is the identity matrix of size n and X' is the transpose
!> of X. kron(X, Y) is the Kronecker product between the matrices X
!> and Y.
!>
```

**Parameters**

*M*

```
!>          M is INTEGER
!>          Size of matrix, must be >= 1.
!>
```

*N*

```
!>          N is INTEGER
!>          Size of matrix, must be >= 1.
!>
```

*A*

```
!>          A is COMPLEX, dimension ( LDA, M )
!>          The matrix A in the output matrix Z.
!>
```

*LDA*

```
!>          LDA is INTEGER
!>          The leading dimension of A, B, D, and E. ( LDA >= M+N )
!>
```

*B*

```
!>          B is COMPLEX, dimension ( LDA, N )
!>
```

*D*

```
!>          D is COMPLEX, dimension ( LDA, M )
!>
```

*E*

```
!>          E is COMPLEX, dimension ( LDA, N )
!>
!>          The matrices used in forming the output matrix Z.
!>
```

*Z*

```
!>          Z is COMPLEX, dimension ( LDZ, 2*M*N )
!>          The resultant Kronecker M*N*2 by M*N*2 matrix (see above.)
!>
```

*LDZ*

```
!>          LDZ is INTEGER
!>          The leading dimension of Z. ( LDZ >= 2*M*N )
!>
```

**Author**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **104** of file **clakf2.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.