cheev.f.html
来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 243 行 · 第 1/2 页
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<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> WANTZ = <a name="LSAME.109"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( JOBZ, <span class="string">'V'</span> )
LOWER = <a name="LSAME.110"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( UPLO, <span class="string">'L'</span> )
LQUERY = ( LWORK.EQ.-1 )
<span class="comment">*</span><span class="comment">
</span> INFO = 0
IF( .NOT.( WANTZ .OR. <a name="LSAME.114"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( JOBZ, <span class="string">'N'</span> ) ) ) THEN
INFO = -1
ELSE IF( .NOT.( LOWER .OR. <a name="LSAME.116"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( UPLO, <span class="string">'U'</span> ) ) ) THEN
INFO = -2
ELSE IF( N.LT.0 ) THEN
INFO = -3
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
INFO = -5
END IF
<span class="comment">*</span><span class="comment">
</span> IF( INFO.EQ.0 ) THEN
NB = <a name="ILAENV.125"></a><a href="hfy-index.html#ILAENV">ILAENV</a>( 1, <span class="string">'<a name="CHETRD.125"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>'</span>, UPLO, N, -1, -1, -1 )
LWKOPT = MAX( 1, ( NB+1 )*N )
WORK( 1 ) = LWKOPT
<span class="comment">*</span><span class="comment">
</span> IF( LWORK.LT.MAX( 1, 2*N-1 ) .AND. .NOT.LQUERY )
$ INFO = -8
END IF
<span class="comment">*</span><span class="comment">
</span> IF( INFO.NE.0 ) THEN
CALL <a name="XERBLA.134"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>( <span class="string">'<a name="CHEEV.134"></a><a href="cheev.f.html#CHEEV.1">CHEEV</a> '</span>, -INFO )
RETURN
ELSE IF( LQUERY ) THEN
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> IF( N.EQ.0 ) THEN
RETURN
END IF
<span class="comment">*</span><span class="comment">
</span> IF( N.EQ.1 ) THEN
W( 1 ) = A( 1, 1 )
WORK( 1 ) = 1
IF( WANTZ )
$ A( 1, 1 ) = CONE
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.156"></a><a href="slamch.f.html#SLAMCH.1">SLAMCH</a>( <span class="string">'Safe minimum'</span> )
EPS = <a name="SLAMCH.157"></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 = SQRT( BIGNUM )
<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> ANRM = <a name="CLANHE.165"></a><a href="clanhe.f.html#CLANHE.1">CLANHE</a>( <span class="string">'M'</span>, UPLO, N, A, LDA, RWORK )
ISCALE = 0
IF( ANRM.GT.ZERO .AND. ANRM.LT.RMIN ) THEN
ISCALE = 1
SIGMA = RMIN / ANRM
ELSE IF( ANRM.GT.RMAX ) THEN
ISCALE = 1
SIGMA = RMAX / ANRM
END IF
IF( ISCALE.EQ.1 )
$ CALL <a name="CLASCL.175"></a><a href="clascl.f.html#CLASCL.1">CLASCL</a>( UPLO, 0, 0, ONE, SIGMA, N, N, A, LDA, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Call <a name="CHETRD.177"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a> to reduce Hermitian matrix to tridiagonal form.
</span><span class="comment">*</span><span class="comment">
</span> INDE = 1
INDTAU = 1
INDWRK = INDTAU + N
LLWORK = LWORK - INDWRK + 1
CALL <a name="CHETRD.183"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>( UPLO, N, A, LDA, W, RWORK( INDE ), WORK( INDTAU ),
$ WORK( INDWRK ), LLWORK, IINFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> For eigenvalues only, call <a name="SSTERF.186"></a><a href="ssterf.f.html#SSTERF.1">SSTERF</a>. For eigenvectors, first call
</span><span class="comment">*</span><span class="comment"> <a name="CUNGTR.187"></a><a href="cungtr.f.html#CUNGTR.1">CUNGTR</a> to generate the unitary matrix, then call <a name="CSTEQR.187"></a><a href="csteqr.f.html#CSTEQR.1">CSTEQR</a>.
</span><span class="comment">*</span><span class="comment">
</span> IF( .NOT.WANTZ ) THEN
CALL <a name="SSTERF.190"></a><a href="ssterf.f.html#SSTERF.1">SSTERF</a>( N, W, RWORK( INDE ), INFO )
ELSE
CALL <a name="CUNGTR.192"></a><a href="cungtr.f.html#CUNGTR.1">CUNGTR</a>( UPLO, N, A, LDA, WORK( INDTAU ), WORK( INDWRK ),
$ LLWORK, IINFO )
INDWRK = INDE + N
CALL <a name="CSTEQR.195"></a><a href="csteqr.f.html#CSTEQR.1">CSTEQR</a>( JOBZ, N, W, RWORK( INDE ), A, LDA,
$ RWORK( INDWRK ), 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> IF( ISCALE.EQ.1 ) THEN
IF( INFO.EQ.0 ) THEN
IMAX = N
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"> Set WORK(1) to optimal complex workspace size.
</span><span class="comment">*</span><span class="comment">
</span> WORK( 1 ) = LWKOPT
<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="CHEEV.216"></a><a href="cheev.f.html#CHEEV.1">CHEEV</a>
</span><span class="comment">*</span><span class="comment">
</span> END
</pre>
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