Home Browse Files

BLAS Level 2: sv

sv (defined in namespace flens::blas) solves a system of linear equations whose coefficients are in a triangular matrix.

Interface

template <typename MA, typename VX>
    typename RestrictTo<IsTrMatrix<MA>::value
                     && IsDenseVector<VX>::value,
             void>::Type
    sv(Transpose trans, const MA &A, VX &&x);

trans

(input)
Specifiy the operation, i.e.

NoTrans

\(x \leftarrow A^{-1} x\)

Trans

\(x \leftarrow \left( A^T \right)^{-1} x\)

ConjTrans

\(x \leftarrow \left( A^H \right)^{-1} x\)

A

(input) real or complex valued TrMatrix
Triangular matrix \(A\).

x

(input/output) real or complex valued DenseVector
On entry the original vector \(x\).
On exit overwritten with \(A^{-1}x\).
template <typename MA, typename VX>
    typename RestrictTo<IsTbMatrix<MA>::value
                     && IsDenseVector<VX>::value,
             void>::Type
    sv(Transpose trans, const MA &A, VX &&x);

Defined in namespace flens::blas. Function sv with 2 template parameters.

template <typename MA, typename VX>
    typename RestrictTo<IsTpMatrix<MA>::value
                     && IsDenseVector<VX>::value,
            void>::Type
    sv(Transpose trans, const MA &A, VX &&x);

Defined in namespace flens::blas. Function sv with 2 template parameters.

Home