124 lines
2.8 KiB
FortranFixed
124 lines
2.8 KiB
FortranFixed
SUBROUTINE ZLAKF2( M, N, A, LDA, B, D, E, Z, LDZ )
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*
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* -- LAPACK test routine (version 3.1) --
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* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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* November 2006
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*
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* .. Scalar Arguments ..
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INTEGER LDA, LDZ, M, N
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* ..
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* .. Array Arguments ..
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COMPLEX*16 A( LDA, * ), B( LDA, * ), D( LDA, * ),
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$ E( LDA, * ), Z( LDZ, * )
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* ..
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*
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* Purpose
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* =======
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*
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* Form the 2*M*N by 2*M*N matrix
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*
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* Z = [ kron(In, A) -kron(B', Im) ]
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* [ kron(In, D) -kron(E', Im) ],
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*
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* where In is the identity matrix of size n and X' is the transpose
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* of X. kron(X, Y) is the Kronecker product between the matrices X
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* and Y.
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*
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* Arguments
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* =========
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*
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* M (input) INTEGER
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* Size of matrix, must be >= 1.
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*
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* N (input) INTEGER
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* Size of matrix, must be >= 1.
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*
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* A (input) COMPLEX*16, dimension ( LDA, M )
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* The matrix A in the output matrix Z.
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*
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* LDA (input) INTEGER
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* The leading dimension of A, B, D, and E. ( LDA >= M+N )
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*
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* B (input) COMPLEX*16, dimension ( LDA, N )
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* D (input) COMPLEX*16, dimension ( LDA, M )
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* E (input) COMPLEX*16, dimension ( LDA, N )
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* The matrices used in forming the output matrix Z.
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*
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* Z (output) COMPLEX*16, dimension ( LDZ, 2*M*N )
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* The resultant Kronecker M*N*2 by M*N*2 matrix (see above.)
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*
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* LDZ (input) INTEGER
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* The leading dimension of Z. ( LDZ >= 2*M*N )
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*
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* ====================================================================
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*
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* .. Parameters ..
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COMPLEX*16 ZERO
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PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
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* ..
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* .. Local Scalars ..
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INTEGER I, IK, J, JK, L, MN, MN2
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* ..
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* .. External Subroutines ..
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EXTERNAL ZLASET
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* ..
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* .. Executable Statements ..
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*
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* Initialize Z
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*
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MN = M*N
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MN2 = 2*MN
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CALL ZLASET( 'Full', MN2, MN2, ZERO, ZERO, Z, LDZ )
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*
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IK = 1
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DO 50 L = 1, N
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*
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* form kron(In, A)
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*
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DO 20 I = 1, M
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DO 10 J = 1, M
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Z( IK+I-1, IK+J-1 ) = A( I, J )
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10 CONTINUE
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20 CONTINUE
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*
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* form kron(In, D)
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*
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DO 40 I = 1, M
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DO 30 J = 1, M
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Z( IK+MN+I-1, IK+J-1 ) = D( I, J )
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30 CONTINUE
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40 CONTINUE
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*
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IK = IK + M
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50 CONTINUE
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*
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IK = 1
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DO 90 L = 1, N
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JK = MN + 1
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*
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DO 80 J = 1, N
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*
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* form -kron(B', Im)
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*
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DO 60 I = 1, M
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Z( IK+I-1, JK+I-1 ) = -B( J, L )
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60 CONTINUE
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*
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* form -kron(E', Im)
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*
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DO 70 I = 1, M
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Z( IK+MN+I-1, JK+I-1 ) = -E( J, L )
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70 CONTINUE
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*
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JK = JK + M
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80 CONTINUE
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*
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IK = IK + M
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90 CONTINUE
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*
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RETURN
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*
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* End of ZLAKF2
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*
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END
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