dgbcon.f.html
来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 251 行 · 第 1/2 页
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</span><span class="comment">*</span><span class="comment"> Test the input parameters.
</span><span class="comment">*</span><span class="comment">
</span> INFO = 0
ONENRM = NORM.EQ.<span class="string">'1'</span> .OR. <a name="LSAME.111"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( NORM, <span class="string">'O'</span> )
IF( .NOT.ONENRM .AND. .NOT.<a name="LSAME.112"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( NORM, <span class="string">'I'</span> ) ) THEN
INFO = -1
ELSE IF( N.LT.0 ) THEN
INFO = -2
ELSE IF( KL.LT.0 ) THEN
INFO = -3
ELSE IF( KU.LT.0 ) THEN
INFO = -4
ELSE IF( LDAB.LT.2*KL+KU+1 ) THEN
INFO = -6
ELSE IF( ANORM.LT.ZERO ) THEN
INFO = -8
END IF
IF( INFO.NE.0 ) THEN
CALL <a name="XERBLA.126"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>( <span class="string">'<a name="DGBCON.126"></a><a href="dgbcon.f.html#DGBCON.1">DGBCON</a>'</span>, -INFO )
RETURN
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Quick return if possible
</span><span class="comment">*</span><span class="comment">
</span> RCOND = ZERO
IF( N.EQ.0 ) THEN
RCOND = ONE
RETURN
ELSE IF( ANORM.EQ.ZERO ) THEN
RETURN
END IF
<span class="comment">*</span><span class="comment">
</span> SMLNUM = <a name="DLAMCH.140"></a><a href="dlamch.f.html#DLAMCH.1">DLAMCH</a>( <span class="string">'Safe minimum'</span> )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Estimate the norm of inv(A).
</span><span class="comment">*</span><span class="comment">
</span> AINVNM = ZERO
NORMIN = <span class="string">'N'</span>
IF( ONENRM ) THEN
KASE1 = 1
ELSE
KASE1 = 2
END IF
KD = KL + KU + 1
LNOTI = KL.GT.0
KASE = 0
10 CONTINUE
CALL <a name="DLACN2.155"></a><a href="dlacn2.f.html#DLACN2.1">DLACN2</a>( N, WORK( N+1 ), WORK, IWORK, AINVNM, KASE, ISAVE )
IF( KASE.NE.0 ) THEN
IF( KASE.EQ.KASE1 ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Multiply by inv(L).
</span><span class="comment">*</span><span class="comment">
</span> IF( LNOTI ) THEN
DO 20 J = 1, N - 1
LM = MIN( KL, N-J )
JP = IPIV( J )
T = WORK( JP )
IF( JP.NE.J ) THEN
WORK( JP ) = WORK( J )
WORK( J ) = T
END IF
CALL DAXPY( LM, -T, AB( KD+1, J ), 1, WORK( J+1 ), 1 )
20 CONTINUE
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Multiply by inv(U).
</span><span class="comment">*</span><span class="comment">
</span> CALL <a name="DLATBS.176"></a><a href="dlatbs.f.html#DLATBS.1">DLATBS</a>( <span class="string">'Upper'</span>, <span class="string">'No transpose'</span>, <span class="string">'Non-unit'</span>, NORMIN, N,
$ KL+KU, AB, LDAB, WORK, SCALE, WORK( 2*N+1 ),
$ INFO )
ELSE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Multiply by inv(U').
</span><span class="comment">*</span><span class="comment">
</span> CALL <a name="DLATBS.183"></a><a href="dlatbs.f.html#DLATBS.1">DLATBS</a>( <span class="string">'Upper'</span>, <span class="string">'Transpose'</span>, <span class="string">'Non-unit'</span>, NORMIN, N,
$ KL+KU, AB, LDAB, WORK, SCALE, WORK( 2*N+1 ),
$ INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Multiply by inv(L').
</span><span class="comment">*</span><span class="comment">
</span> IF( LNOTI ) THEN
DO 30 J = N - 1, 1, -1
LM = MIN( KL, N-J )
WORK( J ) = WORK( J ) - DDOT( LM, AB( KD+1, J ), 1,
$ WORK( J+1 ), 1 )
JP = IPIV( J )
IF( JP.NE.J ) THEN
T = WORK( JP )
WORK( JP ) = WORK( J )
WORK( J ) = T
END IF
30 CONTINUE
END IF
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Divide X by 1/SCALE if doing so will not cause overflow.
</span><span class="comment">*</span><span class="comment">
</span> NORMIN = <span class="string">'Y'</span>
IF( SCALE.NE.ONE ) THEN
IX = IDAMAX( N, WORK, 1 )
IF( SCALE.LT.ABS( WORK( IX ) )*SMLNUM .OR. SCALE.EQ.ZERO )
$ GO TO 40
CALL <a name="DRSCL.211"></a><a href="drscl.f.html#DRSCL.1">DRSCL</a>( N, SCALE, WORK, 1 )
END IF
GO TO 10
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Compute the estimate of the reciprocal condition number.
</span><span class="comment">*</span><span class="comment">
</span> IF( AINVNM.NE.ZERO )
$ RCOND = ( ONE / AINVNM ) / ANORM
<span class="comment">*</span><span class="comment">
</span> 40 CONTINUE
RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> End of <a name="DGBCON.224"></a><a href="dgbcon.f.html#DGBCON.1">DGBCON</a>
</span><span class="comment">*</span><span class="comment">
</span> END
</pre>
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