version 1.8, 2011/11/21 20:43:15
|
version 1.17, 2018/05/29 07:18:26
|
Line 1
|
Line 1
|
*> \brief \b ZLANGT |
*> \brief \b ZLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix. |
* |
* |
* =========== DOCUMENTATION =========== |
* =========== DOCUMENTATION =========== |
* |
* |
* Online html documentation available at |
* Online html documentation available at |
* http://www.netlib.org/lapack/explore-html/ |
* http://www.netlib.org/lapack/explore-html/ |
* |
* |
*> \htmlonly |
*> \htmlonly |
*> Download ZLANGT + dependencies |
*> Download ZLANGT + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlangt.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlangt.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlangt.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlangt.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlangt.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlangt.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* DOUBLE PRECISION FUNCTION ZLANGT( NORM, N, DL, D, DU ) |
* DOUBLE PRECISION FUNCTION ZLANGT( NORM, N, DL, D, DU ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER NORM |
* CHARACTER NORM |
* INTEGER N |
* INTEGER N |
Line 27
|
Line 27
|
* .. Array Arguments .. |
* .. Array Arguments .. |
* COMPLEX*16 D( * ), DL( * ), DU( * ) |
* COMPLEX*16 D( * ), DL( * ), DU( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
Line 94
|
Line 94
|
* Authors: |
* Authors: |
* ======== |
* ======== |
* |
* |
*> \author Univ. of Tennessee |
*> \author Univ. of Tennessee |
*> \author Univ. of California Berkeley |
*> \author Univ. of California Berkeley |
*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
* |
*> \date November 2011 |
*> \date December 2016 |
* |
* |
*> \ingroup complex16OTHERauxiliary |
*> \ingroup complex16OTHERauxiliary |
* |
* |
* ===================================================================== |
* ===================================================================== |
DOUBLE PRECISION FUNCTION ZLANGT( NORM, N, DL, D, DU ) |
DOUBLE PRECISION FUNCTION ZLANGT( NORM, N, DL, D, DU ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.4.0) -- |
* -- LAPACK auxiliary routine (version 3.7.0) -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* November 2011 |
* December 2016 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER NORM |
CHARACTER NORM |
Line 127
|
Line 127
|
* .. |
* .. |
* .. Local Scalars .. |
* .. Local Scalars .. |
INTEGER I |
INTEGER I |
DOUBLE PRECISION ANORM, SCALE, SUM |
DOUBLE PRECISION ANORM, SCALE, SUM, TEMP |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |
LOGICAL LSAME |
LOGICAL LSAME, DISNAN |
EXTERNAL LSAME |
EXTERNAL LSAME, DISNAN |
* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
EXTERNAL ZLASSQ |
EXTERNAL ZLASSQ |
* .. |
* .. |
* .. Intrinsic Functions .. |
* .. Intrinsic Functions .. |
INTRINSIC ABS, MAX, SQRT |
INTRINSIC ABS, SQRT |
* .. |
* .. |
* .. Executable Statements .. |
* .. Executable Statements .. |
* |
* |
Line 149
|
Line 149
|
* |
* |
ANORM = ABS( D( N ) ) |
ANORM = ABS( D( N ) ) |
DO 10 I = 1, N - 1 |
DO 10 I = 1, N - 1 |
ANORM = MAX( ANORM, ABS( DL( I ) ) ) |
IF( ANORM.LT.ABS( DL( I ) ) .OR. DISNAN( ABS( DL( I ) ) ) ) |
ANORM = MAX( ANORM, ABS( D( I ) ) ) |
$ ANORM = ABS(DL(I)) |
ANORM = MAX( ANORM, ABS( DU( I ) ) ) |
IF( ANORM.LT.ABS( D( I ) ) .OR. DISNAN( ABS( D( I ) ) ) ) |
|
$ ANORM = ABS(D(I)) |
|
IF( ANORM.LT.ABS( DU( I ) ) .OR. DISNAN (ABS( DU( I ) ) ) ) |
|
$ ANORM = ABS(DU(I)) |
10 CONTINUE |
10 CONTINUE |
ELSE IF( LSAME( NORM, 'O' ) .OR. NORM.EQ.'1' ) THEN |
ELSE IF( LSAME( NORM, 'O' ) .OR. NORM.EQ.'1' ) THEN |
* |
* |
Line 160
|
Line 163
|
IF( N.EQ.1 ) THEN |
IF( N.EQ.1 ) THEN |
ANORM = ABS( D( 1 ) ) |
ANORM = ABS( D( 1 ) ) |
ELSE |
ELSE |
ANORM = MAX( ABS( D( 1 ) )+ABS( DL( 1 ) ), |
ANORM = ABS( D( 1 ) )+ABS( DL( 1 ) ) |
$ ABS( D( N ) )+ABS( DU( N-1 ) ) ) |
TEMP = ABS( D( N ) )+ABS( DU( N-1 ) ) |
|
IF( ANORM .LT. TEMP .OR. DISNAN( TEMP ) ) ANORM = TEMP |
DO 20 I = 2, N - 1 |
DO 20 I = 2, N - 1 |
ANORM = MAX( ANORM, ABS( D( I ) )+ABS( DL( I ) )+ |
TEMP = ABS( D( I ) )+ABS( DL( I ) )+ABS( DU( I-1 ) ) |
$ ABS( DU( I-1 ) ) ) |
IF( ANORM .LT. TEMP .OR. DISNAN( TEMP ) ) ANORM = TEMP |
20 CONTINUE |
20 CONTINUE |
END IF |
END IF |
ELSE IF( LSAME( NORM, 'I' ) ) THEN |
ELSE IF( LSAME( NORM, 'I' ) ) THEN |
Line 174
|
Line 178
|
IF( N.EQ.1 ) THEN |
IF( N.EQ.1 ) THEN |
ANORM = ABS( D( 1 ) ) |
ANORM = ABS( D( 1 ) ) |
ELSE |
ELSE |
ANORM = MAX( ABS( D( 1 ) )+ABS( DU( 1 ) ), |
ANORM = ABS( D( 1 ) )+ABS( DU( 1 ) ) |
$ ABS( D( N ) )+ABS( DL( N-1 ) ) ) |
TEMP = ABS( D( N ) )+ABS( DL( N-1 ) ) |
|
IF( ANORM .LT. TEMP .OR. DISNAN( TEMP ) ) ANORM = TEMP |
DO 30 I = 2, N - 1 |
DO 30 I = 2, N - 1 |
ANORM = MAX( ANORM, ABS( D( I ) )+ABS( DU( I ) )+ |
TEMP = ABS( D( I ) )+ABS( DU( I ) )+ABS( DL( I-1 ) ) |
$ ABS( DL( I-1 ) ) ) |
IF( ANORM .LT. TEMP .OR. DISNAN( TEMP ) ) ANORM = TEMP |
30 CONTINUE |
30 CONTINUE |
END IF |
END IF |
ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN |
ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN |