- SUBROUTINE SGTTS2(
- ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB )
- INTEGER ITRANS, LDB, N, NRHS
- INTEGER IPIV( * )
- REAL B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * )
PURPOSESGTTS2 solves one of the systems of equations
A*X = B or A'*X = B, with a tridiagonal matrix A using the LU factorization computed by SGTTRF.
- ITRANS (input) INTEGER
Specifies the form of the system of equations.
= 0: A * X = B (No transpose)
= 1: A'* X = B (Transpose)
= 2: A'* X = B (Conjugate transpose = Transpose)
- N (input) INTEGER
- The order of the matrix A.
- NRHS (input) INTEGER
- The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
- DL (input) REAL array, dimension (N-1)
- The (n-1) multipliers that define the matrix L from the LU factorization of A.
- D (input) REAL array, dimension (N)
- The n diagonal elements of the upper triangular matrix U from the LU factorization of A.
- DU (input) REAL array, dimension (N-1)
- The (n-1) elements of the first super-diagonal of U.
- DU2 (input) REAL array, dimension (N-2)
- The (n-2) elements of the second super-diagonal of U.
- IPIV (input) INTEGER array, dimension (N)
- The pivot indices; for 1 <= i <= n, row i of the matrix was interchanged with row IPIV(i). IPIV(i) will always be either i or i+1; IPIV(i) = i indicates a row interchange was not required.
- B (input/output) REAL array, dimension (LDB,NRHS)
- On entry, the matrix of right hand side vectors B. On exit, B is overwritten by the solution vectors X.
- LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).