BLAS Level 2: r

r (defined in namespace flens::blas) computes rank-1 updates for general, symmetric and hermitian matrices.

General Matrix

Note: The following variant is identical with flens::blas::ru below.

template <typename ALPHA, typename VX, typename VY, typename MA>
    typename RestrictTo<IsDenseVector<VX>::value
                     && IsDenseVector<VY>::value
                     && IsGeMatrix<MA>::value,
             void>::Type
    r(const ALPHA &alpha, const VX &x, const VY &y, MA &&A);

alpha	`(input)` Scaling factor \(\alpha\).
x	`(input) real or complex valued DenseVector` Vector \(x\).
y	`(input) real or complex valued DenseVector` Vector \(y\).
A	`(input/output) real or complex valued GeMatrix` On entry, the initial matrix \(A\). On exit, the updated Matrix \(A \leftarrow \alpha x y^T\)

Unconjugated

template <typename ALPHA, typename VX, typename VY, typename MA>
    typename RestrictTo<IsDenseVector<VX>::value
                     && IsDenseVector<VY>::value
                     && IsGeMatrix<MA>::value,
             void>::Type
    ru(const ALPHA &alpha, const VX &x, const VY &y, MA &&A);

alpha	`(input)` Scaling factor \(\alpha\).
x	`(input) real or complex valued DenseVector` Vector \(x\).
y	`(input) real or complex valued DenseVector` Vector \(y\).
A	`(input/output) real or complex valued GeMatrix` On entry, the initial matrix \(A\). On exit, the updated Matrix \(A \leftarrow \alpha x y^T\)

Conjugated

template <typename ALPHA, typename VX, typename VY, typename MA>
    typename RestrictTo<IsDenseVector<VX>::value
                     && IsDenseVector<VY>::value
                     && IsGeMatrix<MA>::value,
             void>::Type
    rc(const ALPHA &alpha, const VX &x, const VY &y, MA &&A);

Symmetric Matrix

(Todo)

Hermitian Matrix

(Todo) ################################################################################ # # The following CODEREFs are automatically created stubs. # ################################################################################

template <typename ALPHA, typename VX, typename MA>
    typename RestrictTo<IsDenseVector<VX>::value
                     && IsSyMatrix<MA>::value,
             void>::Type
    r(const ALPHA &alpha, const VX &x, MA &&A);

Defined in namespace flens::blas. Function r with 3 template parameters.

template <typename ALPHA, typename VX, typename MA>
    typename RestrictTo<IsDenseVector<VX>::value
                     && IsHeMatrix<MA>::value,
             void>::Type
    r(const ALPHA &alpha, const VX &x, MA &&A);

Defined in namespace flens::blas. Function r with 3 template parameters.

template <typename ALPHA, typename VX, typename MA>
    typename RestrictTo<IsDenseVector<VX>::value
                     && IsHpMatrix<MA>::value,
             void>::Type
    r(const ALPHA &alpha, const VX &x, MA &&A);

Defined in namespace flens::blas. Function r with 3 template parameters.

template <typename ALPHA, typename VX, typename MA>
    typename RestrictTo<IsDenseVector<VX>::value
                     && IsSpMatrix<MA>::value,
             void>::Type
    r(const ALPHA &alpha, const VX &x, MA &&A);

Defined in namespace flens::blas. Function r with 3 template parameters.