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authorjason <jason@8a072113-8704-0410-8d35-dd094bca7971>2008-10-28 01:38:50 +0000
committerjason <jason@8a072113-8704-0410-8d35-dd094bca7971>2008-10-28 01:38:50 +0000
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+ SUBROUTINE DPTSV( 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 ..
+ INTEGER INFO, LDB, N, NRHS
+* ..
+* .. Array Arguments ..
+ DOUBLE PRECISION B( LDB, * ), D( * ), E( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DPTSV computes the solution to a real system of linear equations
+* A*X = B, where A is an N-by-N symmetric positive definite tridiagonal
+* matrix, and X and B are N-by-NRHS matrices.
+*
+* A is factored as A = L*D*L**T, and the factored form of A is then
+* used to solve the system of equations.
+*
+* Arguments
+* =========
+*
+* N (input) INTEGER
+* The order of the 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/output) DOUBLE PRECISION array, dimension (N)
+* On entry, the n diagonal elements of the tridiagonal matrix
+* A. On exit, the n diagonal elements of the diagonal matrix
+* D from the factorization A = L*D*L**T.
+*
+* E (input/output) DOUBLE PRECISION array, dimension (N-1)
+* On entry, the (n-1) subdiagonal elements of the tridiagonal
+* matrix A. On exit, the (n-1) subdiagonal elements of the
+* unit bidiagonal factor L from the L*D*L**T factorization of
+* A. (E can also be regarded as the superdiagonal of the unit
+* bidiagonal factor U from the U**T*D*U factorization of A.)
+*
+* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
+* On entry, the N-by-NRHS right hand side matrix B.
+* On exit, if INFO = 0, the N-by-NRHS solution matrix X.
+*
+* LDB (input) INTEGER
+* The leading dimension of the array B. LDB >= max(1,N).
+*
+* INFO (output) INTEGER
+* = 0: successful exit
+* < 0: if INFO = -i, the i-th argument had an illegal value
+* > 0: if INFO = i, the leading minor of order i is not
+* positive definite, and the solution has not been
+* computed. The factorization has not been completed
+* unless i = N.
+*
+* =====================================================================
+*
+* .. External Subroutines ..
+ EXTERNAL DPTTRF, DPTTRS, XERBLA
+* ..
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF( N.LT.0 ) THEN
+ INFO = -1
+ ELSE IF( NRHS.LT.0 ) THEN
+ INFO = -2
+ ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
+ INFO = -6
+ END IF
+ IF( INFO.NE.0 ) THEN
+ CALL XERBLA( 'DPTSV ', -INFO )
+ RETURN
+ END IF
+*
+* Compute the L*D*L' (or U'*D*U) factorization of A.
+*
+ CALL DPTTRF( N, D, E, INFO )
+ IF( INFO.EQ.0 ) THEN
+*
+* Solve the system A*X = B, overwriting B with X.
+*
+ CALL DPTTRS( N, NRHS, D, E, B, LDB, INFO )
+ END IF
+ RETURN
+*
+* End of DPTSV
+*
+ END