version 1.9, 2011/11/21 22:19:51
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version 1.19, 2023/08/07 08:39:29
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*> \brief \b ZLANHB |
*> \brief \b ZLANHB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian band 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 ZLANHB + dependencies |
*> Download ZLANHB + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlanhb.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlanhb.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlanhb.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlanhb.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlanhb.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlanhb.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* DOUBLE PRECISION FUNCTION ZLANHB( NORM, UPLO, N, K, AB, LDAB, |
* DOUBLE PRECISION FUNCTION ZLANHB( NORM, UPLO, N, K, AB, LDAB, |
* WORK ) |
* WORK ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER NORM, UPLO |
* CHARACTER NORM, UPLO |
* INTEGER K, LDAB, N |
* INTEGER K, LDAB, N |
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* DOUBLE PRECISION WORK( * ) |
* DOUBLE PRECISION WORK( * ) |
* COMPLEX*16 AB( LDAB, * ) |
* COMPLEX*16 AB( LDAB, * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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* 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 |
|
* |
* |
*> \ingroup complex16OTHERauxiliary |
*> \ingroup complex16OTHERauxiliary |
* |
* |
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DOUBLE PRECISION FUNCTION ZLANHB( NORM, UPLO, N, K, AB, LDAB, |
DOUBLE PRECISION FUNCTION ZLANHB( NORM, UPLO, N, K, AB, LDAB, |
$ WORK ) |
$ WORK ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.4.0) -- |
* -- LAPACK auxiliary routine -- |
* -- 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 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER NORM, UPLO |
CHARACTER NORM, UPLO |
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DOUBLE PRECISION ABSA, SCALE, SUM, VALUE |
DOUBLE PRECISION ABSA, SCALE, SUM, VALUE |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |
LOGICAL LSAME |
LOGICAL LSAME, DISNAN |
EXTERNAL LSAME |
EXTERNAL LSAME, DISNAN |
* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
EXTERNAL ZLASSQ |
EXTERNAL ZLASSQ |
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IF( LSAME( UPLO, 'U' ) ) THEN |
IF( LSAME( UPLO, 'U' ) ) THEN |
DO 20 J = 1, N |
DO 20 J = 1, N |
DO 10 I = MAX( K+2-J, 1 ), K |
DO 10 I = MAX( K+2-J, 1 ), K |
VALUE = MAX( VALUE, ABS( AB( I, J ) ) ) |
SUM = ABS( AB( I, J ) ) |
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IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM |
10 CONTINUE |
10 CONTINUE |
VALUE = MAX( VALUE, ABS( DBLE( AB( K+1, J ) ) ) ) |
SUM = ABS( DBLE( AB( K+1, J ) ) ) |
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IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM |
20 CONTINUE |
20 CONTINUE |
ELSE |
ELSE |
DO 40 J = 1, N |
DO 40 J = 1, N |
VALUE = MAX( VALUE, ABS( DBLE( AB( 1, J ) ) ) ) |
SUM = ABS( DBLE( AB( 1, J ) ) ) |
|
IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM |
DO 30 I = 2, MIN( N+1-J, K+1 ) |
DO 30 I = 2, MIN( N+1-J, K+1 ) |
VALUE = MAX( VALUE, ABS( AB( I, J ) ) ) |
SUM = ABS( AB( I, J ) ) |
|
IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM |
30 CONTINUE |
30 CONTINUE |
40 CONTINUE |
40 CONTINUE |
END IF |
END IF |
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WORK( J ) = SUM + ABS( DBLE( AB( K+1, J ) ) ) |
WORK( J ) = SUM + ABS( DBLE( AB( K+1, J ) ) ) |
60 CONTINUE |
60 CONTINUE |
DO 70 I = 1, N |
DO 70 I = 1, N |
VALUE = MAX( VALUE, WORK( I ) ) |
SUM = WORK( I ) |
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IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM |
70 CONTINUE |
70 CONTINUE |
ELSE |
ELSE |
DO 80 I = 1, N |
DO 80 I = 1, N |
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SUM = SUM + ABSA |
SUM = SUM + ABSA |
WORK( I ) = WORK( I ) + ABSA |
WORK( I ) = WORK( I ) + ABSA |
90 CONTINUE |
90 CONTINUE |
VALUE = MAX( VALUE, SUM ) |
IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM |
100 CONTINUE |
100 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 |