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- SUBROUTINE ZTRTI2( UPLO, DIAG, N, A, LDA, INFO )
-*
-* -- LAPACK routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- CHARACTER DIAG, UPLO
- INTEGER INFO, LDA, N
-* ..
-* .. Array Arguments ..
- COMPLEX*16 A( LDA, * )
-* ..
-*
-* Purpose
-* =======
-*
-* ZTRTI2 computes the inverse of a complex upper or lower triangular
-* matrix.
-*
-* This is the Level 2 BLAS version of the algorithm.
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* Specifies whether the matrix A is upper or lower triangular.
-* = 'U': Upper triangular
-* = 'L': Lower triangular
-*
-* DIAG (input) CHARACTER*1
-* Specifies whether or not the matrix A is unit triangular.
-* = 'N': Non-unit triangular
-* = 'U': Unit triangular
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* A (input/output) COMPLEX*16 array, dimension (LDA,N)
-* On entry, the triangular matrix A. If UPLO = 'U', the
-* leading n by n upper triangular part of the array A contains
-* the upper triangular matrix, and the strictly lower
-* triangular part of A is not referenced. If UPLO = 'L', the
-* leading n by n lower triangular part of the array A contains
-* the lower triangular matrix, and the strictly upper
-* triangular part of A is not referenced. If DIAG = 'U', the
-* diagonal elements of A are also not referenced and are
-* assumed to be 1.
-*
-* On exit, the (triangular) inverse of the original matrix, in
-* the same storage format.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -k, the k-th argument had an illegal value
-*
-* =====================================================================
-*
-* .. Parameters ..
- COMPLEX*16 ONE
- PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
-* ..
-* .. Local Scalars ..
- LOGICAL NOUNIT, UPPER
- INTEGER J
- COMPLEX*16 AJJ
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* ..
-* .. External Subroutines ..
- EXTERNAL XERBLA, ZSCAL, ZTRMV
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX
-* ..
-* .. Executable Statements ..
-*
-* Test the input parameters.
-*
- INFO = 0
- UPPER = LSAME( UPLO, 'U' )
- NOUNIT = LSAME( DIAG, 'N' )
- IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
- INFO = -1
- ELSE IF( .NOT.NOUNIT .AND. .NOT.LSAME( DIAG, 'U' ) ) THEN
- INFO = -2
- ELSE IF( N.LT.0 ) THEN
- INFO = -3
- ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
- INFO = -5
- END IF
- IF( INFO.NE.0 ) THEN
- CALL XERBLA( 'ZTRTI2', -INFO )
- RETURN
- END IF
-*
- IF( UPPER ) THEN
-*
-* Compute inverse of upper triangular matrix.
-*
- DO 10 J = 1, N
- IF( NOUNIT ) THEN
- A( J, J ) = ONE / A( J, J )
- AJJ = -A( J, J )
- ELSE
- AJJ = -ONE
- END IF
-*
-* Compute elements 1:j-1 of j-th column.
-*
- CALL ZTRMV( 'Upper', 'No transpose', DIAG, J-1, A, LDA,
- $ A( 1, J ), 1 )
- CALL ZSCAL( J-1, AJJ, A( 1, J ), 1 )
- 10 CONTINUE
- ELSE
-*
-* Compute inverse of lower triangular matrix.
-*
- DO 20 J = N, 1, -1
- IF( NOUNIT ) THEN
- A( J, J ) = ONE / A( J, J )
- AJJ = -A( J, J )
- ELSE
- AJJ = -ONE
- END IF
- IF( J.LT.N ) THEN
-*
-* Compute elements j+1:n of j-th column.
-*
- CALL ZTRMV( 'Lower', 'No transpose', DIAG, N-J,
- $ A( J+1, J+1 ), LDA, A( J+1, J ), 1 )
- CALL ZSCAL( N-J, AJJ, A( J+1, J ), 1 )
- END IF
- 20 CONTINUE
- END IF
-*
- RETURN
-*
-* End of ZTRTI2
-*
- END