SGTTRS(3) LAPACK routine of NEC Numeric Library Collection SGTTRS(3) NAME SGTTRS SYNOPSIS SUBROUTINE SGTTRS (TRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB, INFO) PURPOSE SGTTRS solves one of the systems of equations A*X = B or A**T*X = B, with a tridiagonal matrix A using the LU factorization computed by SGTTRF. ARGUMENTS TRANS (input) TRANS is CHARACTER*1 Specifies the form of the system of equations. = 'N': A * X = B (No transpose) = 'T': A**T* X = B (Transpose) = 'C': A**T* X = B (Conjugate transpose = Transpose) N (input) N is INTEGER The order of the matrix A. NRHS (input) NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. DL (input) DL is REAL array, dimension (N-1) The (n-1) multipliers that define the matrix L from the LU factorization of A. D (input) D is REAL array, dimension (N) The n diagonal elements of the upper triangular matrix U from the LU factorization of A. DU (input) DU is REAL array, dimension (N-1) The (n-1) elements of the first super-diagonal of U. DU2 (input) DU2 is REAL array, dimension (N-2) The (n-2) elements of the second super-diagonal of U. IPIV (input) IPIV is 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) B is 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) LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO (output) INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value LAPACK routine 31 October 2017 SGTTRS(3)