DOUBLE PRECISION FUNCTION ZLA_SYRCOND_C( UPLO, N, A, LDA, AF, $ LDAF, IPIV, C, CAPPLY, INFO, WORK, $ RWORK ) * * -- LAPACK routine (version 3.2) -- * -- Contributed by James Demmel, Deaglan Halligan, Yozo Hida and -- * -- Jason Riedy of Univ. of California Berkeley. -- * -- November 2008 -- * * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley and NAG Ltd. -- * IMPLICIT NONE * .. * .. Scalar Arguments .. CHARACTER UPLO LOGICAL CAPPLY INTEGER N, LDA, LDAF, INFO * .. * .. Array Arguments .. INTEGER IPIV( * ) COMPLEX*16 A( LDA, * ), AF( LDAF, * ), WORK( * ) DOUBLE PRECISION C( * ), RWORK( * ) * * ZLA_SYRCOND_C Computes the infinity norm condition number of * op(A) * inv(diag(C)) where C is a DOUBLE PRECISION vector. * WORK is a COMPLEX*16 workspace of size 2*N, and * RWORK is a DOUBLE PRECISION workspace of size 3*N. * .. * .. Local Scalars .. INTEGER KASE DOUBLE PRECISION AINVNM, ANORM, TMP INTEGER I, J LOGICAL UP COMPLEX*16 ZDUM * .. * .. Local Arrays .. INTEGER ISAVE( 3 ) * .. * .. External Functions .. LOGICAL LSAME EXTERNAL LSAME * .. * .. External Subroutines .. EXTERNAL ZLACN2, ZSYTRS, XERBLA * .. * .. Intrinsic Functions .. INTRINSIC ABS, MAX * .. * .. Statement Functions .. DOUBLE PRECISION CABS1 * .. * .. Statement Function Definitions .. CABS1( ZDUM ) = ABS( DBLE( ZDUM ) ) + ABS( DIMAG( ZDUM ) ) * .. * .. Executable Statements .. * ZLA_SYRCOND_C = 0.0D+0 * INFO = 0 IF( N.LT.0 ) THEN INFO = -2 END IF IF( INFO.NE.0 ) THEN CALL XERBLA( 'ZLA_SYRCOND_C', -INFO ) RETURN END IF UP = .FALSE. IF ( LSAME( UPLO, 'U' ) ) UP = .TRUE. * * Compute norm of op(A)*op2(C). * ANORM = 0.0D+0 IF ( UP ) THEN DO I = 1, N TMP = 0.0D+0 IF ( CAPPLY ) THEN DO J = 1, N IF (I.GT.J) THEN TMP = TMP + CABS1( A( J, I ) ) / C( J ) ELSE TMP = TMP + CABS1( A( I, J ) ) / C( J ) END IF END DO ELSE DO J = 1, N IF ( I.GT.J ) THEN TMP = TMP + CABS1( A( J, I ) ) ELSE TMP = TMP + CABS1( A( I, J ) ) END IF END DO END IF RWORK( 2*N+I ) = TMP ANORM = MAX( ANORM, TMP ) END DO ELSE DO I = 1, N TMP = 0.0D+0 IF ( CAPPLY ) THEN DO J = 1, N IF ( I.LT.J ) THEN TMP = TMP + CABS1( A( J, I ) ) / C( J ) ELSE TMP = TMP + CABS1( A( I, J ) ) / C( J ) END IF END DO ELSE DO J = 1, N IF ( I.LT.J ) THEN TMP = TMP + CABS1( A( J, I ) ) ELSE TMP = TMP + CABS1( A( I, J ) ) END IF END DO END IF RWORK( 2*N+I ) = TMP ANORM = MAX( ANORM, TMP ) END DO END IF * * Quick return if possible. * IF( N.EQ.0 ) THEN ZLA_SYRCOND_C = 1.0D+0 RETURN ELSE IF( ANORM .EQ. 0.0D+0 ) THEN RETURN END IF * * Estimate the norm of inv(op(A)). * AINVNM = 0.0D+0 * KASE = 0 10 CONTINUE CALL ZLACN2( N, WORK( N+1 ), WORK, AINVNM, KASE, ISAVE ) IF( KASE.NE.0 ) THEN IF( KASE.EQ.2 ) THEN * * Multiply by R. * DO I = 1, N WORK( I ) = WORK( I ) * RWORK( 2*N+I ) END DO * IF ( UP ) THEN CALL ZSYTRS( 'U', N, 1, AF, LDAF, IPIV, $ WORK, N, INFO ) ELSE CALL ZSYTRS( 'L', N, 1, AF, LDAF, IPIV, $ WORK, N, INFO ) ENDIF * * Multiply by inv(C). * IF ( CAPPLY ) THEN DO I = 1, N WORK( I ) = WORK( I ) * C( I ) END DO END IF ELSE * * Multiply by inv(C'). * IF ( CAPPLY ) THEN DO I = 1, N WORK( I ) = WORK( I ) * C( I ) END DO END IF * IF ( UP ) THEN CALL ZSYTRS( 'U', N, 1, AF, LDAF, IPIV, $ WORK, N, INFO ) ELSE CALL ZSYTRS( 'L', N, 1, AF, LDAF, IPIV, $ WORK, N, INFO ) END IF * * Multiply by R. * DO I = 1, N WORK( I ) = WORK( I ) * RWORK( 2*N+I ) END DO END IF GO TO 10 END IF * * Compute the estimate of the reciprocal condition number. * IF( AINVNM .NE. 0.0D+0 ) $ ZLA_SYRCOND_C = 1.0D+0 / AINVNM * RETURN * END