GTTRS - 5.2 English - 68552

AOCL API Guide (68552)

Document ID
68552
Release Date
2025-12-29
Version
5.2 English
template<typename T>
void gttrs(char *trans, integer *n, integer *nrhs, T *dl, T *d, T *du, T *du2, integer *ipiv, T *b, integer *ldb, integer *info)#

GTTRS solves one of the systems of equations.

Purpose:

  GTTRS 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.
Parameters:
  • TRANS[in]

    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[in]

    N is INTEGER

    The order of the matrix A.

  • NRHS[in]

    NRHS is INTEGER

    The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.

  • DL[in]

    DL is REAL array, dimension (N-1)

    The (n-1) multipliers that define the matrix L from the LU factorization of A.

  • D[in]

    D is REAL array, dimension (N)

    The n diagonal elements of the upper triangular matrix U from the LU factorization of A.

  • DU[in]

    DU is REAL array, dimension (N-1)

    The (n-1) elements of the first super-diagonal of U.

  • DU2[in]

    DU2 is REAL array, dimension (N-2)

    The (n-2) elements of the second super-diagonal of U.

  • IPIV[in]

    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[inout]

    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[in]

    LDB is INTEGER

    The leading dimension of the array B. LDB >= fla_max(1,N).

  • INFO[out]

    INFO is INTEGER

    = 0: successful exit

    < 0: if INFO = -i, the i-th argument had an illegal value