Function xlarft 

pub fn xlarft<TV: DataTypeLike, TTau: DataTypeLike, TT: DataTypeLike>(
    ctx: &Context,
    params: &Params,
    direct: DirectMode,
    storev: StorevMode,
    n: usize,
    k: usize,
    v: MatrixRef<'_, TV>,
    tau: VectorRef<'_, TTau>,
    t: MatrixMut<'_, TT>,
    compute_type: DataType,
    workspace: ByteWorkspaceMut<'_>,
) -> Result<()>

Use the matching buffer-size helper to calculate the sizes needed for pre-allocated workspace.

Forms the triangular factor T of a real block reflector H of order n, which is defined as a product of k elementary reflectors.

Only StorevMode::Columnwise storage is supported. This means the vector defining the elementary reflector H(i) is stored in the ith column of V, and $H = I - V \cdot T \cdot V^{T}$ ($H = I - V \cdot T \cdot V^{H}$ for complex types).

Provide device and host workspace through workspace. Use xlarft_buffer_size to determine the required sizes for workspace.device and workspace.host.

Currently, only the n >= k scenario is supported.

The generic cuSOLVER routine has four data types:

xlarft only supports the following four combinations.

Valid combinations of data types and compute types

data_type_v	data_type_tau	data_type_t	compute_type	Meaning
DataType::F32	DataType::F32	DataType::F32	DataType::F32	SLARFT
DataType::F64	DataType::F64	DataType::F64	DataType::F64	DLARFT
DataType::ComplexF32	DataType::ComplexF32	DataType::ComplexF32	DataType::ComplexF32	CLARFT
DataType::ComplexF64	DataType::ComplexF64	DataType::ComplexF64	DataType::ComplexF64	ZLARFT

Errors

Returns an error if cuSOLVER has not been initialized, if the reflector dimensions or storage mode are invalid, or if cuSOLVER reports an internal failure.