PTTS2 - 5.2 English - 68552

AOCL API Guide (68552)

Document ID
68552
Release Date
2025-12-29
Version
5.2 English
template<typename T>
void ptts2(integer *n, integer *nrhs, T *d, T *e, T *b, integer *ldb)#

PTTS2 solves a tridiagonal system of the form AX=B using

the L D LH factorization computed by spttrf.

Purpose:

 PTTS2 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).

template<typename T, typename Ta>
void ptts2(integer *iuplo, integer *n, integer *nrhs, Ta *d, T *e, T *b, integer *ldb)#