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- DOUBLE PRECISION FUNCTION DLANST( NORM, N, D, E )
-*
-* -- LAPACK auxiliary routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- CHARACTER NORM
- INTEGER N
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION D( * ), E( * )
-* ..
-*
-* Purpose
-* =======
-*
-* DLANST returns the value of the one norm, or the Frobenius norm, or
-* the infinity norm, or the element of largest absolute value of a
-* real symmetric tridiagonal matrix A.
-*
-* Description
-* ===========
-*
-* DLANST returns the value
-*
-* DLANST = ( max(abs(A(i,j))), NORM = 'M' or 'm'
-* (
-* ( norm1(A), NORM = '1', 'O' or 'o'
-* (
-* ( normI(A), NORM = 'I' or 'i'
-* (
-* ( normF(A), NORM = 'F', 'f', 'E' or 'e'
-*
-* where norm1 denotes the one norm of a matrix (maximum column sum),
-* normI denotes the infinity norm of a matrix (maximum row sum) and
-* normF denotes the Frobenius norm of a matrix (square root of sum of
-* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
-*
-* Arguments
-* =========
-*
-* NORM (input) CHARACTER*1
-* Specifies the value to be returned in DLANST as described
-* above.
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0. When N = 0, DLANST is
-* set to zero.
-*
-* D (input) DOUBLE PRECISION array, dimension (N)
-* The diagonal elements of A.
-*
-* E (input) DOUBLE PRECISION array, dimension (N-1)
-* The (n-1) sub-diagonal or super-diagonal elements of A.
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ONE, ZERO
- PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
-* ..
-* .. Local Scalars ..
- INTEGER I
- DOUBLE PRECISION ANORM, SCALE, SUM
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* ..
-* .. External Subroutines ..
- EXTERNAL DLASSQ
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC ABS, MAX, SQRT
-* ..
-* .. Executable Statements ..
-*
- IF( N.LE.0 ) THEN
- ANORM = ZERO
- ELSE IF( LSAME( NORM, 'M' ) ) THEN
-*
-* Find max(abs(A(i,j))).
-*
- ANORM = ABS( D( N ) )
- DO 10 I = 1, N - 1
- ANORM = MAX( ANORM, ABS( D( I ) ) )
- ANORM = MAX( ANORM, ABS( E( I ) ) )
- 10 CONTINUE
- ELSE IF( LSAME( NORM, 'O' ) .OR. NORM.EQ.'1' .OR.
- $ LSAME( NORM, 'I' ) ) THEN
-*
-* Find norm1(A).
-*
- IF( N.EQ.1 ) THEN
- ANORM = ABS( D( 1 ) )
- ELSE
- ANORM = MAX( ABS( D( 1 ) )+ABS( E( 1 ) ),
- $ ABS( E( N-1 ) )+ABS( D( N ) ) )
- DO 20 I = 2, N - 1
- ANORM = MAX( ANORM, ABS( D( I ) )+ABS( E( I ) )+
- $ ABS( E( I-1 ) ) )
- 20 CONTINUE
- END IF
- ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN
-*
-* Find normF(A).
-*
- SCALE = ZERO
- SUM = ONE
- IF( N.GT.1 ) THEN
- CALL DLASSQ( N-1, E, 1, SCALE, SUM )
- SUM = 2*SUM
- END IF
- CALL DLASSQ( N, D, 1, SCALE, SUM )
- ANORM = SCALE*SQRT( SUM )
- END IF
-*
- DLANST = ANORM
- RETURN
-*
-* End of DLANST
-*
- END