sstevx.f.html
来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 375 行 · 第 1/2 页
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INFO = -2
ELSE IF( N.LT.0 ) THEN
INFO = -3
ELSE
IF( VALEIG ) THEN
IF( N.GT.0 .AND. VU.LE.VL )
$ INFO = -7
ELSE IF( INDEIG ) THEN
IF( IL.LT.1 .OR. IL.GT.MAX( 1, N ) ) THEN
INFO = -8
ELSE IF( IU.LT.MIN( N, IL ) .OR. IU.GT.N ) THEN
INFO = -9
END IF
END IF
END IF
IF( INFO.EQ.0 ) THEN
IF( LDZ.LT.1 .OR. ( WANTZ .AND. LDZ.LT.N ) )
$ INFO = -14
END IF
<span class="comment">*</span><span class="comment">
</span> IF( INFO.NE.0 ) THEN
CALL <a name="XERBLA.191"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>( <span class="string">'<a name="SSTEVX.191"></a><a href="sstevx.f.html#SSTEVX.1">SSTEVX</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> M = 0
IF( N.EQ.0 )
$ RETURN
<span class="comment">*</span><span class="comment">
</span> IF( N.EQ.1 ) THEN
IF( ALLEIG .OR. INDEIG ) THEN
M = 1
W( 1 ) = D( 1 )
ELSE
IF( VL.LT.D( 1 ) .AND. VU.GE.D( 1 ) ) THEN
M = 1
W( 1 ) = D( 1 )
END IF
END IF
IF( WANTZ )
$ Z( 1, 1 ) = ONE
RETURN
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Get machine constants.
</span><span class="comment">*</span><span class="comment">
</span> SAFMIN = <a name="SLAMCH.218"></a><a href="slamch.f.html#SLAMCH.1">SLAMCH</a>( <span class="string">'Safe minimum'</span> )
EPS = <a name="SLAMCH.219"></a><a href="slamch.f.html#SLAMCH.1">SLAMCH</a>( <span class="string">'Precision'</span> )
SMLNUM = SAFMIN / EPS
BIGNUM = ONE / SMLNUM
RMIN = SQRT( SMLNUM )
RMAX = MIN( SQRT( BIGNUM ), ONE / SQRT( SQRT( SAFMIN ) ) )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Scale matrix to allowable range, if necessary.
</span><span class="comment">*</span><span class="comment">
</span> ISCALE = 0
IF ( VALEIG ) THEN
VLL = VL
VUU = VU
ELSE
VLL = ZERO
VUU = ZERO
ENDIF
TNRM = <a name="SLANST.235"></a><a href="slanst.f.html#SLANST.1">SLANST</a>( <span class="string">'M'</span>, N, D, E )
IF( TNRM.GT.ZERO .AND. TNRM.LT.RMIN ) THEN
ISCALE = 1
SIGMA = RMIN / TNRM
ELSE IF( TNRM.GT.RMAX ) THEN
ISCALE = 1
SIGMA = RMAX / TNRM
END IF
IF( ISCALE.EQ.1 ) THEN
CALL SSCAL( N, SIGMA, D, 1 )
CALL SSCAL( N-1, SIGMA, E( 1 ), 1 )
IF( VALEIG ) THEN
VLL = VL*SIGMA
VUU = VU*SIGMA
END IF
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> If all eigenvalues are desired and ABSTOL is less than zero, then
</span><span class="comment">*</span><span class="comment"> call <a name="SSTERF.253"></a><a href="ssterf.f.html#SSTERF.1">SSTERF</a> or <a name="SSTEQR.253"></a><a href="ssteqr.f.html#SSTEQR.1">SSTEQR</a>. If this fails for some eigenvalue, then
</span><span class="comment">*</span><span class="comment"> try <a name="SSTEBZ.254"></a><a href="sstebz.f.html#SSTEBZ.1">SSTEBZ</a>.
</span><span class="comment">*</span><span class="comment">
</span> TEST = .FALSE.
IF( INDEIG ) THEN
IF( IL.EQ.1 .AND. IU.EQ.N ) THEN
TEST = .TRUE.
END IF
END IF
IF( ( ALLEIG .OR. TEST ) .AND. ( ABSTOL.LE.ZERO ) ) THEN
CALL SCOPY( N, D, 1, W, 1 )
CALL SCOPY( N-1, E( 1 ), 1, WORK( 1 ), 1 )
INDWRK = N + 1
IF( .NOT.WANTZ ) THEN
CALL <a name="SSTERF.267"></a><a href="ssterf.f.html#SSTERF.1">SSTERF</a>( N, W, WORK, INFO )
ELSE
CALL <a name="SSTEQR.269"></a><a href="ssteqr.f.html#SSTEQR.1">SSTEQR</a>( <span class="string">'I'</span>, N, W, WORK, Z, LDZ, WORK( INDWRK ), INFO )
IF( INFO.EQ.0 ) THEN
DO 10 I = 1, N
IFAIL( I ) = 0
10 CONTINUE
END IF
END IF
IF( INFO.EQ.0 ) THEN
M = N
GO TO 20
END IF
INFO = 0
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Otherwise, call <a name="SSTEBZ.283"></a><a href="sstebz.f.html#SSTEBZ.1">SSTEBZ</a> and, if eigenvectors are desired, <a name="SSTEIN.283"></a><a href="sstein.f.html#SSTEIN.1">SSTEIN</a>.
</span><span class="comment">*</span><span class="comment">
</span> IF( WANTZ ) THEN
ORDER = <span class="string">'B'</span>
ELSE
ORDER = <span class="string">'E'</span>
END IF
INDWRK = 1
INDIBL = 1
INDISP = INDIBL + N
INDIWO = INDISP + N
CALL <a name="SSTEBZ.294"></a><a href="sstebz.f.html#SSTEBZ.1">SSTEBZ</a>( RANGE, ORDER, N, VLL, VUU, IL, IU, ABSTOL, D, E, M,
$ NSPLIT, W, IWORK( INDIBL ), IWORK( INDISP ),
$ WORK( INDWRK ), IWORK( INDIWO ), INFO )
<span class="comment">*</span><span class="comment">
</span> IF( WANTZ ) THEN
CALL <a name="SSTEIN.299"></a><a href="sstein.f.html#SSTEIN.1">SSTEIN</a>( N, D, E, M, W, IWORK( INDIBL ), IWORK( INDISP ),
$ Z, LDZ, WORK( INDWRK ), IWORK( INDIWO ), IFAIL,
$ INFO )
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> If matrix was scaled, then rescale eigenvalues appropriately.
</span><span class="comment">*</span><span class="comment">
</span> 20 CONTINUE
IF( ISCALE.EQ.1 ) THEN
IF( INFO.EQ.0 ) THEN
IMAX = M
ELSE
IMAX = INFO - 1
END IF
CALL SSCAL( IMAX, ONE / SIGMA, W, 1 )
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> If eigenvalues are not in order, then sort them, along with
</span><span class="comment">*</span><span class="comment"> eigenvectors.
</span><span class="comment">*</span><span class="comment">
</span> IF( WANTZ ) THEN
DO 40 J = 1, M - 1
I = 0
TMP1 = W( J )
DO 30 JJ = J + 1, M
IF( W( JJ ).LT.TMP1 ) THEN
I = JJ
TMP1 = W( JJ )
END IF
30 CONTINUE
<span class="comment">*</span><span class="comment">
</span> IF( I.NE.0 ) THEN
ITMP1 = IWORK( INDIBL+I-1 )
W( I ) = W( J )
IWORK( INDIBL+I-1 ) = IWORK( INDIBL+J-1 )
W( J ) = TMP1
IWORK( INDIBL+J-1 ) = ITMP1
CALL SSWAP( N, Z( 1, I ), 1, Z( 1, J ), 1 )
IF( INFO.NE.0 ) THEN
ITMP1 = IFAIL( I )
IFAIL( I ) = IFAIL( J )
IFAIL( J ) = ITMP1
END IF
END IF
40 CONTINUE
END IF
<span class="comment">*</span><span class="comment">
</span> RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> End of <a name="SSTEVX.348"></a><a href="sstevx.f.html#SSTEVX.1">SSTEVX</a>
</span><span class="comment">*</span><span class="comment">
</span> END
</pre>
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