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SUBROUTINE <a name="ZPTTRS.1"></a><a href="zpttrs.f.html#ZPTTRS.1">ZPTTRS</a>( UPLO, N, NRHS, D, E, B, LDB, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> -- LAPACK routine (version 3.1) --
</span><span class="comment">*</span><span class="comment"> Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment"> November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> .. Scalar Arguments ..
</span> CHARACTER UPLO
INTEGER INFO, LDB, N, NRHS
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Array Arguments ..
</span> DOUBLE PRECISION D( * )
COMPLEX*16 B( LDB, * ), E( * )
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Purpose
</span><span class="comment">*</span><span class="comment"> =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> <a name="ZPTTRS.19"></a><a href="zpttrs.f.html#ZPTTRS.1">ZPTTRS</a> solves a tridiagonal system of the form
</span><span class="comment">*</span><span class="comment"> A * X = B
</span><span class="comment">*</span><span class="comment"> using the factorization A = U'*D*U or A = L*D*L' computed by <a name="ZPTTRF.21"></a><a href="zpttrf.f.html#ZPTTRF.1">ZPTTRF</a>.
</span><span class="comment">*</span><span class="comment"> D is a diagonal matrix specified in the vector D, U (or L) is a unit
</span><span class="comment">*</span><span class="comment"> bidiagonal matrix whose superdiagonal (subdiagonal) is specified in
</span><span class="comment">*</span><span class="comment"> the vector E, and X and B are N by NRHS matrices.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Arguments
</span><span class="comment">*</span><span class="comment"> =========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> UPLO (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment"> Specifies the form of the factorization and whether the
</span><span class="comment">*</span><span class="comment"> vector E is the superdiagonal of the upper bidiagonal factor
</span><span class="comment">*</span><span class="comment"> U or the subdiagonal of the lower bidiagonal factor L.
</span><span class="comment">*</span><span class="comment"> = 'U': A = U'*D*U, E is the superdiagonal of U
</span><span class="comment">*</span><span class="comment"> = 'L': A = L*D*L', E is the subdiagonal of L
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> N (input) INTEGER
</span><span class="comment">*</span><span class="comment"> The order of the tridiagonal matrix A. N >= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> NRHS (input) INTEGER
</span><span class="comment">*</span><span class="comment"> The number of right hand sides, i.e., the number of columns
</span><span class="comment">*</span><span class="comment"> of the matrix B. NRHS >= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> D (input) DOUBLE PRECISION array, dimension (N)
</span><span class="comment">*</span><span class="comment"> The n diagonal elements of the diagonal matrix D from the
</span><span class="comment">*</span><span class="comment"> factorization A = U'*D*U or A = L*D*L'.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> E (input) COMPLEX*16 array, dimension (N-1)
</span><span class="comment">*</span><span class="comment"> If UPLO = 'U', the (n-1) superdiagonal elements of the unit
</span><span class="comment">*</span><span class="comment"> bidiagonal factor U from the factorization A = U'*D*U.
</span><span class="comment">*</span><span class="comment"> If UPLO = 'L', the (n-1) subdiagonal elements of the unit
</span><span class="comment">*</span><span class="comment"> bidiagonal factor L from the factorization A = L*D*L'.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
</span><span class="comment">*</span><span class="comment"> On entry, the right hand side vectors B for the system of
</span><span class="comment">*</span><span class="comment"> linear equations.
</span><span class="comment">*</span><span class="comment"> On exit, the solution vectors, X.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> LDB (input) INTEGER
</span><span class="comment">*</span><span class="comment"> The leading dimension of the array B. LDB >= max(1,N).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> INFO (output) INTEGER
</span><span class="comment">*</span><span class="comment"> = 0: successful exit
</span><span class="comment">*</span><span class="comment"> < 0: if INFO = -k, the k-th argument had an illegal value
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> .. Local Scalars ..
</span> LOGICAL UPPER
INTEGER IUPLO, J, JB, NB
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. External Functions ..
</span> INTEGER <a name="ILAENV.72"></a><a href="hfy-index.html#ILAENV">ILAENV</a>
EXTERNAL <a name="ILAENV.73"></a><a href="hfy-index.html#ILAENV">ILAENV</a>
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. External Subroutines ..
</span> EXTERNAL <a name="XERBLA.76"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>, <a name="ZPTTS2.76"></a><a href="zptts2.f.html#ZPTTS2.1">ZPTTS2</a>
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Intrinsic Functions ..
</span> INTRINSIC MAX, MIN
<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 arguments.
</span><span class="comment">*</span><span class="comment">
</span> INFO = 0
UPPER = ( UPLO.EQ.<span class="string">'U'</span> .OR. UPLO.EQ.<span class="string">'u'</span> )
IF( .NOT.UPPER .AND. .NOT.( UPLO.EQ.<span class="string">'L'</span> .OR. UPLO.EQ.<span class="string">'l'</span> ) ) THEN
INFO = -1
ELSE IF( N.LT.0 ) THEN
INFO = -2
ELSE IF( NRHS.LT.0 ) THEN
INFO = -3
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
INFO = -7
END IF
IF( INFO.NE.0 ) THEN
CALL <a name="XERBLA.97"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>( <span class="string">'<a name="ZPTTRS.97"></a><a href="zpttrs.f.html#ZPTTRS.1">ZPTTRS</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> IF( N.EQ.0 .OR. NRHS.EQ.0 )
$ RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Determine the number of right-hand sides to solve at a time.
</span><span class="comment">*</span><span class="comment">
</span> IF( NRHS.EQ.1 ) THEN
NB = 1
ELSE
NB = MAX( 1, <a name="ILAENV.111"></a><a href="hfy-index.html#ILAENV">ILAENV</a>( 1, <span class="string">'<a name="ZPTTRS.111"></a><a href="zpttrs.f.html#ZPTTRS.1">ZPTTRS</a>'</span>, UPLO, N, NRHS, -1, -1 ) )
END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Decode UPLO
</span><span class="comment">*</span><span class="comment">
</span> IF( UPPER ) THEN
IUPLO = 1
ELSE
IUPLO = 0
END IF
<span class="comment">*</span><span class="comment">
</span> IF( NB.GE.NRHS ) THEN
CALL <a name="ZPTTS2.123"></a><a href="zptts2.f.html#ZPTTS2.1">ZPTTS2</a>( IUPLO, N, NRHS, D, E, B, LDB )
ELSE
DO 10 J = 1, NRHS, NB
JB = MIN( NRHS-J+1, NB )
CALL <a name="ZPTTS2.127"></a><a href="zptts2.f.html#ZPTTS2.1">ZPTTS2</a>( IUPLO, N, JB, D, E, B( 1, J ), LDB )
10 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="ZPTTRS.133"></a><a href="zpttrs.f.html#ZPTTRS.1">ZPTTRS</a>
</span><span class="comment">*</span><span class="comment">
</span> END
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