CGTSV(l) LAPACK routine (version 1.1) CGTSV(l)
NAME
CGTSV - solve the equation A*X = B,
SYNOPSIS
SUBROUTINE CGTSV( N, NRHS, DL, D, DU, B, LDB, INFO )
INTEGER INFO, LDB, N, NRHS
COMPLEX B( LDB, * ), D( * ), DL( * ), DU( * )
PURPOSE
CGTSV solves the equation
where A is an N-by-N tridiagonal matrix, by Gaussian elimination with par-
tial pivoting.
Note that the equation A'*X = B may be solved by interchanging the order
of the arguments DU and DL.
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.
DL (input/output) COMPLEX array, dimension (N-1)
On entry, DL must contain the (n-1) subdiagonal elements of A. On
exit, DL is overwritten by the (n-2) elements of the second super-
diagonal of the upper triangular matrix U from the LU factorization
of A, in DL(1), ..., DL(n-2).
D (input/output) COMPLEX array, dimension (N)
On entry, D must contain the diagonal elements of A. On exit, D is
overwritten by the n diagonal elements of U.
DU (input/output) COMPLEX array, dimension (N-1)
On entry, DU must contain the (n-1) superdiagonal elements of A.
On exit, DU is overwritten by the (n-1) elements of the first
superdiagonal of U.
B (input/output) COMPLEX 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)
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, U(i,i) is exactly zero, and the solution has not
been computed. The factorization has not been completed unless i =
N.
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