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