ZGTTRS(3)      LAPACK routine of NEC Numeric Library Collection      ZGTTRS(3)



NAME
       ZGTTRS

SYNOPSIS
       SUBROUTINE ZGTTRS (TRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB, INFO)



PURPOSE
            ZGTTRS solves one of the systems of equations
               A * X = B,  A**T * X = B,  or  A**H * X = B,
            with a tridiagonal matrix A using the LU factorization computed
            by ZGTTRF.




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**H * X = B  (Conjugate 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 COMPLEX*16 array, dimension (N-1)
                     The (n-1) multipliers that define the matrix L from the
                     LU factorization of A.

           D         (input)
                     D is COMPLEX*16 array, dimension (N)
                     The n diagonal elements of the upper triangular matrix U from
                     the LU factorization of A.

           DU        (input)
                     DU is COMPLEX*16 array, dimension (N-1)
                     The (n-1) elements of the first super-diagonal of U.

           DU2       (input)
                     DU2 is COMPLEX*16 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 COMPLEX*16 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 = -k, the k-th argument had an illegal value



LAPACK routine                  31 October 2017                      ZGTTRS(3)