version 1.8, 2012/07/31 11:06:39
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version 1.18, 2023/08/07 08:39:29
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*> \brief \b ZLANHF |
*> \brief \b ZLANHF 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 matrix in RFP format. |
* |
* |
* =========== 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 ZLANHF + dependencies |
*> Download ZLANHF + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlanhf.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlanhf.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlanhf.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlanhf.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlanhf.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlanhf.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* DOUBLE PRECISION FUNCTION ZLANHF( NORM, TRANSR, UPLO, N, A, WORK ) |
* DOUBLE PRECISION FUNCTION ZLANHF( NORM, TRANSR, UPLO, N, A, WORK ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER NORM, TRANSR, UPLO |
* CHARACTER NORM, TRANSR, UPLO |
* INTEGER N |
* INTEGER N |
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* DOUBLE PRECISION WORK( 0: * ) |
* DOUBLE PRECISION WORK( 0: * ) |
* COMPLEX*16 A( 0: * ) |
* COMPLEX*16 A( 0: * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \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 complex16OTHERcomputational |
*> \ingroup complex16OTHERcomputational |
* |
* |
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* ===================================================================== |
* ===================================================================== |
DOUBLE PRECISION FUNCTION ZLANHF( NORM, TRANSR, UPLO, N, A, WORK ) |
DOUBLE PRECISION FUNCTION ZLANHF( NORM, TRANSR, UPLO, N, A, WORK ) |
* |
* |
* -- LAPACK computational routine (version 3.4.0) -- |
* -- LAPACK computational 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, TRANSR, UPLO |
CHARACTER NORM, TRANSR, UPLO |
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* .. |
* .. |
* .. Local Scalars .. |
* .. Local Scalars .. |
INTEGER I, J, IFM, ILU, NOE, N1, K, L, LDA |
INTEGER I, J, IFM, ILU, NOE, N1, K, L, LDA |
DOUBLE PRECISION SCALE, S, VALUE, AA |
DOUBLE PRECISION SCALE, S, VALUE, AA, TEMP |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |
LOGICAL LSAME |
LOGICAL LSAME, DISNAN |
INTEGER IDAMAX |
EXTERNAL LSAME, DISNAN |
EXTERNAL LSAME, IDAMAX |
|
* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
EXTERNAL ZLASSQ |
EXTERNAL ZLASSQ |
* .. |
* .. |
* .. Intrinsic Functions .. |
* .. Intrinsic Functions .. |
INTRINSIC ABS, DBLE, MAX, SQRT |
INTRINSIC ABS, DBLE, SQRT |
* .. |
* .. |
* .. Executable Statements .. |
* .. Executable Statements .. |
* |
* |
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ZLANHF = ZERO |
ZLANHF = ZERO |
RETURN |
RETURN |
ELSE IF( N.EQ.1 ) THEN |
ELSE IF( N.EQ.1 ) THEN |
ZLANHF = ABS( A(0) ) |
ZLANHF = ABS(DBLE(A(0))) |
RETURN |
RETURN |
END IF |
END IF |
* |
* |
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* uplo ='L' |
* uplo ='L' |
J = 0 |
J = 0 |
* -> L(0,0) |
* -> L(0,0) |
VALUE = MAX( VALUE, ABS( DBLE( A( J+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( J+J*LDA ) ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
DO I = 1, N - 1 |
DO I = 1, N - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
END DO |
END DO |
DO J = 1, K - 1 |
DO J = 1, K - 1 |
DO I = 0, J - 2 |
DO I = 0, J - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
END DO |
END DO |
I = J - 1 |
I = J - 1 |
* L(k+j,k+j) |
* L(k+j,k+j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
I = J |
I = J |
* -> L(j,j) |
* -> L(j,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
DO I = J + 1, N - 1 |
DO I = J + 1, N - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
ELSE |
ELSE |
* uplo = 'U' |
* uplo = 'U' |
DO J = 0, K - 2 |
DO J = 0, K - 2 |
DO I = 0, K + J - 2 |
DO I = 0, K + J - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
END DO |
END DO |
I = K + J - 1 |
I = K + J - 1 |
* -> U(i,i) |
* -> U(i,i) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
I = I + 1 |
I = I + 1 |
* =k+j; i -> U(j,j) |
* =k+j; i -> U(j,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = K + J + 1, N - 1 |
DO I = K + J + 1, N - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
DO I = 0, N - 2 |
DO I = 0, N - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
* j=k-1 |
* j=k-1 |
END DO |
END DO |
* i=n-1 -> U(n-1,n-1) |
* i=n-1 -> U(n-1,n-1) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END IF |
END IF |
ELSE |
ELSE |
* xpose case; A is k by n |
* xpose case; A is k by n |
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* uplo ='L' |
* uplo ='L' |
DO J = 0, K - 2 |
DO J = 0, K - 2 |
DO I = 0, J - 1 |
DO I = 0, J - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = J |
I = J |
* L(i,i) |
* L(i,i) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
I = J + 1 |
I = J + 1 |
* L(j+k,j+k) |
* L(j+k,j+k) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = J + 2, K - 1 |
DO I = J + 2, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
J = K - 1 |
J = K - 1 |
DO I = 0, K - 2 |
DO I = 0, K - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = K - 1 |
I = K - 1 |
* -> L(i,i) is at A(i,j) |
* -> L(i,i) is at A(i,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO J = K, N - 1 |
DO J = K, N - 1 |
DO I = 0, K - 1 |
DO I = 0, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
ELSE |
ELSE |
* uplo = 'U' |
* uplo = 'U' |
DO J = 0, K - 2 |
DO J = 0, K - 2 |
DO I = 0, K - 1 |
DO I = 0, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
J = K - 1 |
J = K - 1 |
* -> U(j,j) is at A(0,j) |
* -> U(j,j) is at A(0,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( 0+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( 0+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = 1, K - 1 |
DO I = 1, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
DO J = K, N - 1 |
DO J = K, N - 1 |
DO I = 0, J - K - 1 |
DO I = 0, J - K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = J - K |
I = J - K |
* -> U(i,i) at A(i,j) |
* -> U(i,i) at A(i,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
I = J - K + 1 |
I = J - K + 1 |
* U(j,j) |
* U(j,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = J - K + 2, K - 1 |
DO I = J - K + 2, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
END IF |
END IF |
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* uplo ='L' |
* uplo ='L' |
J = 0 |
J = 0 |
* -> L(k,k) & j=1 -> L(0,0) |
* -> L(k,k) & j=1 -> L(0,0) |
VALUE = MAX( VALUE, ABS( DBLE( A( J+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( J+J*LDA ) ) ) |
VALUE = MAX( VALUE, ABS( DBLE( A( J+1+J*LDA ) ) ) ) |
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
TEMP = ABS( DBLE( A( J+1+J*LDA ) ) ) |
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IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
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$ VALUE = TEMP |
DO I = 2, N |
DO I = 2, N |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
DO J = 1, K - 1 |
DO J = 1, K - 1 |
DO I = 0, J - 1 |
DO I = 0, J - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = J |
I = J |
* L(k+j,k+j) |
* L(k+j,k+j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
I = J + 1 |
I = J + 1 |
* -> L(j,j) |
* -> L(j,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = J + 2, N |
DO I = J + 2, N |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
ELSE |
ELSE |
* uplo = 'U' |
* uplo = 'U' |
DO J = 0, K - 2 |
DO J = 0, K - 2 |
DO I = 0, K + J - 1 |
DO I = 0, K + J - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = K + J |
I = K + J |
* -> U(i,i) |
* -> U(i,i) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
I = I + 1 |
I = I + 1 |
* =k+j+1; i -> U(j,j) |
* =k+j+1; i -> U(j,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = K + J + 2, N |
DO I = K + J + 2, N |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
DO I = 0, N - 2 |
DO I = 0, N - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
* j=k-1 |
* j=k-1 |
END DO |
END DO |
* i=n-1 -> U(n-1,n-1) |
* i=n-1 -> U(n-1,n-1) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
I = N |
I = N |
* -> U(k-1,k-1) |
* -> U(k-1,k-1) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END IF |
END IF |
ELSE |
ELSE |
* xpose case; A is k by n+1 |
* xpose case; A is k by n+1 |
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|
* uplo ='L' |
* uplo ='L' |
J = 0 |
J = 0 |
* -> L(k,k) at A(0,0) |
* -> L(k,k) at A(0,0) |
VALUE = MAX( VALUE, ABS( DBLE( A( J+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( J+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = 1, K - 1 |
DO I = 1, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
DO J = 1, K - 1 |
DO J = 1, K - 1 |
DO I = 0, J - 2 |
DO I = 0, J - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = J - 1 |
I = J - 1 |
* L(i,i) |
* L(i,i) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
I = J |
I = J |
* L(j+k,j+k) |
* L(j+k,j+k) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = J + 1, K - 1 |
DO I = J + 1, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
J = K |
J = K |
DO I = 0, K - 2 |
DO I = 0, K - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = K - 1 |
I = K - 1 |
* -> L(i,i) is at A(i,j) |
* -> L(i,i) is at A(i,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO J = K + 1, N |
DO J = K + 1, N |
DO I = 0, K - 1 |
DO I = 0, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
ELSE |
ELSE |
* uplo = 'U' |
* uplo = 'U' |
DO J = 0, K - 1 |
DO J = 0, K - 1 |
DO I = 0, K - 1 |
DO I = 0, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
J = K |
J = K |
* -> U(j,j) is at A(0,j) |
* -> U(j,j) is at A(0,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( 0+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( 0+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = 1, K - 1 |
DO I = 1, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
DO J = K + 1, N - 1 |
DO J = K + 1, N - 1 |
DO I = 0, J - K - 2 |
DO I = 0, J - K - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = J - K - 1 |
I = J - K - 1 |
* -> U(i,i) at A(i,j) |
* -> U(i,i) at A(i,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
I = J - K |
I = J - K |
* U(j,j) |
* U(j,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
DO I = J - K + 1, K - 1 |
DO I = J - K + 1, K - 1 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
END DO |
END DO |
J = N |
J = N |
DO I = 0, K - 2 |
DO I = 0, K - 2 |
VALUE = MAX( VALUE, ABS( A( I+J*LDA ) ) ) |
TEMP = ABS( A( I+J*LDA ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END DO |
END DO |
I = K - 1 |
I = K - 1 |
* U(k,k) at A(i,j) |
* U(k,k) at A(i,j) |
VALUE = MAX( VALUE, ABS( DBLE( A( I+J*LDA ) ) ) ) |
TEMP = ABS( DBLE( A( I+J*LDA ) ) ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
END IF |
END IF |
END IF |
END IF |
END IF |
END IF |
Line 608
|
Line 720
|
WORK( J ) = WORK( J ) + S |
WORK( J ) = WORK( J ) + S |
END DO |
END DO |
10 CONTINUE |
10 CONTINUE |
I = IDAMAX( N, WORK, 1 ) |
VALUE = WORK( 0 ) |
VALUE = WORK( I-1 ) |
DO I = 1, N-1 |
|
TEMP = WORK( I ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
END DO |
ELSE |
ELSE |
* ilu = 1 & uplo = 'L' |
* ilu = 1 & uplo = 'L' |
K = K + 1 |
K = K + 1 |
Line 646
|
Line 762
|
END DO |
END DO |
WORK( J ) = WORK( J ) + S |
WORK( J ) = WORK( J ) + S |
END DO |
END DO |
I = IDAMAX( N, WORK, 1 ) |
VALUE = WORK( 0 ) |
VALUE = WORK( I-1 ) |
DO I = 1, N-1 |
|
TEMP = WORK( I ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
END DO |
END IF |
END IF |
ELSE |
ELSE |
* n is even & A is n+1 by k = n/2 |
* n is even & A is n+1 by k = n/2 |
Line 681
|
Line 801
|
END DO |
END DO |
WORK( J ) = WORK( J ) + S |
WORK( J ) = WORK( J ) + S |
END DO |
END DO |
I = IDAMAX( N, WORK, 1 ) |
VALUE = WORK( 0 ) |
VALUE = WORK( I-1 ) |
DO I = 1, N-1 |
|
TEMP = WORK( I ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
END DO |
ELSE |
ELSE |
* ilu = 1 & uplo = 'L' |
* ilu = 1 & uplo = 'L' |
DO I = K, N - 1 |
DO I = K, N - 1 |
Line 715
|
Line 839
|
END DO |
END DO |
WORK( J ) = WORK( J ) + S |
WORK( J ) = WORK( J ) + S |
END DO |
END DO |
I = IDAMAX( N, WORK, 1 ) |
VALUE = WORK( 0 ) |
VALUE = WORK( I-1 ) |
DO I = 1, N-1 |
|
TEMP = WORK( I ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
END DO |
END IF |
END IF |
END IF |
END IF |
ELSE |
ELSE |
Line 778
|
Line 906
|
END DO |
END DO |
WORK( J ) = WORK( J ) + S |
WORK( J ) = WORK( J ) + S |
END DO |
END DO |
I = IDAMAX( N, WORK, 1 ) |
VALUE = WORK( 0 ) |
VALUE = WORK( I-1 ) |
DO I = 1, N-1 |
|
TEMP = WORK( I ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
END DO |
ELSE |
ELSE |
* ilu=1 & uplo = 'L' |
* ilu=1 & uplo = 'L' |
K = K + 1 |
K = K + 1 |
Line 839
|
Line 971
|
END DO |
END DO |
WORK( J ) = WORK( J ) + S |
WORK( J ) = WORK( J ) + S |
END DO |
END DO |
I = IDAMAX( N, WORK, 1 ) |
VALUE = WORK( 0 ) |
VALUE = WORK( I-1 ) |
DO I = 1, N-1 |
|
TEMP = WORK( I ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
END DO |
END IF |
END IF |
ELSE |
ELSE |
* n is even & A is k=n/2 by n+1 |
* n is even & A is k=n/2 by n+1 |
Line 909
|
Line 1045
|
* A(k-1,k-1) |
* A(k-1,k-1) |
S = S + AA |
S = S + AA |
WORK( I ) = WORK( I ) + S |
WORK( I ) = WORK( I ) + S |
I = IDAMAX( N, WORK, 1 ) |
VALUE = WORK( 0 ) |
VALUE = WORK( I-1 ) |
DO I = 1, N-1 |
|
TEMP = WORK( I ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
END DO |
ELSE |
ELSE |
* ilu=1 & uplo = 'L' |
* ilu=1 & uplo = 'L' |
DO I = K, N - 1 |
DO I = K, N - 1 |
Line 980
|
Line 1120
|
END DO |
END DO |
WORK( J-1 ) = WORK( J-1 ) + S |
WORK( J-1 ) = WORK( J-1 ) + S |
END DO |
END DO |
I = IDAMAX( N, WORK, 1 ) |
VALUE = WORK( 0 ) |
VALUE = WORK( I-1 ) |
DO I = 1, N-1 |
|
TEMP = WORK( I ) |
|
IF( VALUE .LT. TEMP .OR. DISNAN( TEMP ) ) |
|
$ VALUE = TEMP |
|
END DO |
END IF |
END IF |
END IF |
END IF |
END IF |
END IF |