tenzr::scipy::linalg¶

Functions¶

Functions Documentation¶

function Det¶

TENZR_APIArray Det(
    const Array & A
)

Parameters:

• A The input matrix.
• A Rank-2 square matrix.

Return:

• The determinant.
• Scalar determinant.

Computes the determinant of a square matrix. Determinant of a square matrix, computed on the host via Eigen.

function Inv¶

TENZR_APIArray Inv(
    const Array & A
)

Parameters:

• A The input matrix.
• A Rank-2 square matrix.

Return:

• The inverse matrix.
• The matrix inverse.

Computes the inverse of a square matrix. Inverse of a square matrix, computed on the host via Eigen.

function Solve¶

TENZR_APIArray Solve(
    const Array & A,
    const Array & b
)

Parameters:

• A The coefficient matrix.
• b The right-hand side.
• A Rank-2 square matrix.
• b Rank-1 right-hand side.

Return:

• The solution x.
• The solution vector x.

Solves the linear system A x = b. Solve A x = b for a 1-D right-hand side, using a QR factorization on the host.

function Cholesky¶

TENZR_APIArray Cholesky(
    const Array & A,
    bool lower =true
)

Parameters:

• A The input matrix.
• lower Whether to return the lower (or upper) triangular factor.
• A Rank-2 symmetric positive-definite matrix.
• lower Select the lower (L) factor when true, the upper (U) otherwise.

Return:

• The triangular factor.
• The requested triangular factor.

Computes the Cholesky decomposition of a symmetric positive-definite matrix. Cholesky factorization of a positive-definite matrix.