SPTSV(3F)SPTSV(3F)NAME
SPTSV - compute 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
SYNOPSIS
SUBROUTINE SPTSV( N, NRHS, D, E, B, LDB, INFO )
INTEGER INFO, LDB, N, NRHS
REAL B( LDB, * ), D( * ), E( * )
PURPOSE
SPTSV 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) REAL 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) REAL 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) REAL array, dimension (LDB,N)
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
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SPTSV(3F)SPTSV(3F)
definite, and the solution has not been computed. The
factorization has not been completed unless i = N.
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