BLAS Level 3: sm

sm (defined in namespace flens::blas) solves one of the matrix equations

\[ \text{op}(A)\,X = \alpha\,B \]

\[ X\,\text{op}(A) = \alpha\,B \]

where \(\alpha\) is a scalar, \(X\) and \(B\) are general \(m \times n\) matrices, \(A\) is a unit, or non-unit, upper or lower triangular matrix and \(\text{op}(X)\) denotes \(X\), \(X^T\) or \(X^H\).

The matrix \(X\) is overwritten on B.

template <typename ALPHA, typename MA, typename MB>
    typename RestrictTo<IsTrMatrix<MA>::value
                     && IsGeMatrix<MB>::value,
             void>::Type
    sm(Side             side,
       Transpose        transA,
       const ALPHA      &alpha,
       const MA         &A,
       MB               &&B);

side

(input)
Specify the type of matrix-matrix product:

Left	\(\text{op}(A)\,X = \alpha\,B\)
Right	\(X\,\text{op}(A) = \alpha\,B\)

transA

(input)
Specifiy \(\text{op}(A)\):

NoTrans	\(A\)
Trans	\(A^T\)
ConjTrans	\(A^H\)

alpha

(input)
Scaling factor \(\alpha\).

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

(input/output) real or complex valued GeMatrix
On entry the original matrix \(B\).
On exit overwritten with the solution matrix \(X\).