zgecon.f.html

来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 218 行 · 第 1/2 页

</span><span class="comment">*</span><span class="comment">     .. Intrinsic Functions ..
</span>      INTRINSIC          ABS, DBLE, DIMAG, MAX
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Statement Functions ..
</span>      DOUBLE PRECISION   CABS1
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Statement Function definitions ..
</span>      CABS1( ZDUM ) = ABS( DBLE( ZDUM ) ) + ABS( DIMAG( ZDUM ) )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Executable Statements ..
</span><span class="comment">*</span><span class="comment">
</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.105"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( NORM, <span class="string">'O'</span> )
      IF( .NOT.ONENRM .AND. .NOT.<a name="LSAME.106"></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( LDA.LT.MAX( 1, N ) ) THEN
         INFO = -4
      ELSE IF( ANORM.LT.ZERO ) THEN
         INFO = -5
      END IF
      IF( INFO.NE.0 ) THEN
         CALL <a name="XERBLA.116"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>( <span class="string">'<a name="ZGECON.116"></a><a href="zgecon.f.html#ZGECON.1">ZGECON</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.130"></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
      KASE = 0
   10 CONTINUE
      CALL <a name="ZLACN2.143"></a><a href="zlacn2.f.html#ZLACN2.1">ZLACN2</a>( N, WORK( N+1 ), WORK, 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>            CALL <a name="ZLATRS.149"></a><a href="zlatrs.f.html#ZLATRS.1">ZLATRS</a>( <span class="string">'Lower'</span>, <span class="string">'No transpose'</span>, <span class="string">'Unit'</span>, NORMIN, N, A,
     $                   LDA, WORK, SL, RWORK, INFO )
<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="ZLATRS.154"></a><a href="zlatrs.f.html#ZLATRS.1">ZLATRS</a>( <span class="string">'Upper'</span>, <span class="string">'No transpose'</span>, <span class="string">'Non-unit'</span>, NORMIN, N,
     $                   A, LDA, WORK, SU, RWORK( 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="ZLATRS.160"></a><a href="zlatrs.f.html#ZLATRS.1">ZLATRS</a>( <span class="string">'Upper'</span>, <span class="string">'Conjugate transpose'</span>, <span class="string">'Non-unit'</span>,
     $                   NORMIN, N, A, LDA, WORK, SU, RWORK( 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>            CALL <a name="ZLATRS.166"></a><a href="zlatrs.f.html#ZLATRS.1">ZLATRS</a>( <span class="string">'Lower'</span>, <span class="string">'Conjugate transpose'</span>, <span class="string">'Unit'</span>, NORMIN,
     $                   N, A, LDA, WORK, SL, RWORK, INFO )
         END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Divide X by 1/(SL*SU) if doing so will not cause overflow.
</span><span class="comment">*</span><span class="comment">
</span>         SCALE = SL*SU
         NORMIN = <span class="string">'Y'</span>
         IF( SCALE.NE.ONE ) THEN
            IX = IZAMAX( N, WORK, 1 )
            IF( SCALE.LT.CABS1( WORK( IX ) )*SMLNUM .OR. SCALE.EQ.ZERO )
     $         GO TO 20
            CALL <a name="ZDRSCL.178"></a><a href="zdrscl.f.html#ZDRSCL.1">ZDRSCL</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>   20 CONTINUE
      RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     End of <a name="ZGECON.191"></a><a href="zgecon.f.html#ZGECON.1">ZGECON</a>
</span><span class="comment">*</span><span class="comment">
</span>      END

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