PTTRS - 5.2 English - 68552

AOCL API Guide (68552)

Document ID
68552
Release Date
2025-12-29
Version
5.2 English
template<typename T>
void pttrs(integer *n, integer *nrhs, T *d, T *e, T *b, integer *ldb, integer *info)#

PTTRS solves a tridiagonal system of the form A * X = B.

Purpose:

  PTTRS solves a tridiagonal system of the form
     A * X = B
  using the L*D*L**T factorization of A computed by SPTTRF.  D is a
  diagonal matrix specified in the vector D, L is a unit bidiagonal
  matrix whose subdiagonal is specified in the vector E, and X and B
  are N by NRHS matrices.
Parameters:
  • N[in]

    N is INTEGER

    The order of the tridiagonal matrix A. N >= 0.

  • NRHS[in]

    NRHS is INTEGER

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

  • D[in]

    D is REAL array, dimension (N)

    The n diagonal elements of the diagonal matrix D from the L*D*L**T factorization of A.

  • E[in]

    E is REAL array, dimension (N-1)

    The (n-1) subdiagonal elements of the unit bidiagonal factor L from the L*D*L**T factorization of A. E can also be regarded as the superdiagonal of the unit bidiagonal factor U from the factorization A = U**T*D*U.

  • B[inout]

    B is REAL array, dimension (LDB,NRHS)

    On entry, the right hand side vectors B for the system of linear equations.

    On exit, 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 = -k, the k-th argument had an illegal value
template<typename T, typename Ta>
void pttrs(char *uplo, integer *n, integer *nrhs, Ta *d, T *e, T *b, integer *ldb, integer *info)#