Visible to Intel only — GUID: GUID-408CCF11-7138-4242-A84F-6124C5C85EB6
Visible to Intel only — GUID: GUID-408CCF11-7138-4242-A84F-6124C5C85EB6
?dttrsv
Solves a general tridiagonal system of linear equations using the LU factorization computed by ?dttrf.
Syntax
call sdttrsv(uplo, trans, n, nrhs, dl, d, du, b, ldb, info)
call ddttrsv(uplo, trans, n, nrhs, dl, d, du, b, ldb, info)
call cdttrsv(uplo, trans, n, nrhs, dl, d, du, b, ldb, info)
call zdttrsv(uplo, trans, n, nrhs, dl, d, du, b, ldb, info)
Description
The ?dttrsvroutine solves one of the following systems of linear equations:
L*X = B, LT*X = B, or LH*X = B,
U*X = B, UT*X = B, or UH*X = B
with factors of the tridiagonal matrix A from the LU factorization computed by ?dttrf.
Input Parameters
- uplo
-
CHARACTER*1.
Specifies whether to solve with L or U.
- trans
-
CHARACTER. Must be 'N' or 'T' or 'C'.
Indicates the form of the equations:
If trans = 'N', then A*X=B is solved for X (no transpose).
If trans = 'T', then AT*X = B is solved for X (transpose).
If trans = 'C', then AH*X = B is solved for X (conjugate transpose).
- n
-
INTEGER. The order of the matrix A(n ≥ 0).
- nrhs
-
INTEGER. The number of right-hand sides, that is, the number of columns in the matrix B(nrhs ≥ 0).
- dl,d,du,b
-
REAL for sdttrsv
DOUBLE PRECISION for ddttrsv
COMPLEX for cdttrsv
COMPLEX*16 for zdttrsv.
The array dl of size (n - 1) contains the (n - 1) multipliers that define the matrix L from the LU factorization of A.
The array d of size n contains n diagonal elements of the upper triangular matrix U from the LU factorization of A.
The array du of size (n - 1) contains the (n - 1) elements of the first super-diagonal of U.
On entry, the array b of size (ldb,nrhs) contains the right-hand side of matrix B.
- ldb
-
INTEGER. The leading dimension of the array b; ldb ≥ max(1, n).
Output Parameters
- b
-
Overwritten by the solution matrix X.
- info
-
INTEGER. If info=0, the execution is successful.
If info = -i, the i-th parameter had an illegal value.