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SUBROUTINE CLAKF2( M, N, A, LDA, B, D, E, Z, LDZ )
*
* -- LAPACK test routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* June 30, 1999
*
* .. Scalar Arguments ..
INTEGER LDA, LDZ, M, N
* ..
* .. Array Arguments ..
COMPLEX A( LDA, * ), B( LDA, * ), D( LDA, * ),
$ E( LDA, * ), Z( LDZ, * )
* ..
*
* 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.
*
* Arguments
* =========
*
* M (input) INTEGER
* Size of matrix, must be >= 1.
*
* N (input) INTEGER
* Size of matrix, must be >= 1.
*
* A (input) COMPLEX, dimension ( LDA, M )
* The matrix A in the output matrix Z.
*
* LDA (input) INTEGER
* The leading dimension of A, B, D, and E. ( LDA >= M+N )
*
* B (input) COMPLEX, dimension ( LDA, N )
* D (input) COMPLEX, dimension ( LDA, M )
* E (input) COMPLEX, dimension ( LDA, N )
* The matrices used in forming the output matrix Z.
*
* Z (output) COMPLEX, dimension ( LDZ, 2*M*N )
* The resultant Kronecker M*N*2 by M*N*2 matrix (see above.)
*
* LDZ (input) INTEGER
* The leading dimension of Z. ( LDZ >= 2*M*N )
*
* ====================================================================
*
* .. Parameters ..
COMPLEX ZERO
PARAMETER ( ZERO = ( 0.0E+0, 0.0E+0 ) )
* ..
* .. Local Scalars ..
INTEGER I, IK, J, JK, L, MN, MN2
* ..
* .. External Subroutines ..
EXTERNAL CLASET
* ..
* .. Executable Statements ..
*
* Initialize Z
*
MN = M*N
MN2 = 2*MN
CALL CLASET( 'Full', MN2, MN2, ZERO, ZERO, Z, LDZ )
*
IK = 1
DO 50 L = 1, N
*
* form kron(In, A)
*
DO 20 I = 1, M
DO 10 J = 1, M
Z( IK+I-1, IK+J-1 ) = A( I, J )
10 CONTINUE
20 CONTINUE
*
* form kron(In, D)
*
DO 40 I = 1, M
DO 30 J = 1, M
Z( IK+MN+I-1, IK+J-1 ) = D( I, J )
30 CONTINUE
40 CONTINUE
*
IK = IK + M
50 CONTINUE
*
IK = 1
DO 90 L = 1, N
JK = MN + 1
*
DO 80 J = 1, N
*
* form -kron(B', Im)
*
DO 60 I = 1, M
Z( IK+I-1, JK+I-1 ) = -B( J, L )
60 CONTINUE
*
* form -kron(E', Im)
*
DO 70 I = 1, M
Z( IK+MN+I-1, JK+I-1 ) = -E( J, L )
70 CONTINUE
*
JK = JK + M
80 CONTINUE
*
IK = IK + M
90 CONTINUE
*
RETURN
*
* End of CLAKF2
*
END
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