tlapack/ungrq_8hpp_source.html

//

// Copyright (c) 2025, University of Colorado Denver. All rights reserved.

//

// This file is part of <T>LAPACK.

// <T>LAPACK is free software: you can redistribute it and/or modify it under

// the terms of the BSD 3-Clause license. See the accompanying LICENSE file.


#ifndef TLAPACK_UNGRQ_HH

#define TLAPACK_UNGRQ_HH


#include "tlapack/base/utils.hpp"

#include "tlapack/blas/scal.hpp"

#include "tlapack/lapack/larf.hpp"

#include "tlapack/lapack/larfb.hpp"

#include "tlapack/lapack/larft.hpp"

#include "tlapack/lapack/ungq.hpp"


namespace tlapack {


struct UngrqOpts {

    size_t nb = 32;

};


template <TLAPACK_SMATRIX matrix_t, TLAPACK_SVECTOR vector_t>


int ungrq(matrix_t& A, const vector_t& tau, const UngrqOpts& opts = {})

{

    return ungq(BACKWARD, ROWWISE_STORAGE, A, tau, UngqOpts{opts.nb});

}


}  // namespace tlapack


#endif  // TLAPACK_UNGRQ_HH

utils.hpp

scal.hpp

tlapack::ungq
int ungq(direction_t direction, storage_t storeMode, matrix_t &A, const vector_t &tau, const UngqOpts &opts={})
Generates a matrix Q that is the product of elementary reflectors.
Definition ungq.hpp:352

tlapack::ungrq
int ungrq(matrix_t &A, const vector_t &tau, const UngrqOpts &opts={})
Generates an m-by-n matrix Q with orthonormal columns, which is defined as the last m rows of a produ...
Definition ungrq.hpp:56

larf.hpp

larfb.hpp
Applies a Householder block reflector to a matrix.

larft.hpp
Forms the triangular factor T of a block reflector.

tlapack
Sort the numbers in D in increasing order (if ID = 'I') or in decreasing order (if ID = 'D' ).
Definition arrayTraits.hpp:15

tlapack::real_type
typename traits::real_type_traits< Types..., int >::type real_type
The common real type of the list of types.
Definition scalar_type_traits.hpp:113

tlapack::BACKWARD
constexpr internal::Backward BACKWARD
Backward direction.
Definition types.hpp:383

tlapack::ROWWISE_STORAGE
constexpr internal::RowwiseStorage ROWWISE_STORAGE
Rowwise storage.
Definition types.hpp:416

tlapack::UngrqOpts
Options struct for ungrq.
Definition ungrq.hpp:27

tlapack::UngrqOpts::nb
size_t nb
Block size.
Definition ungrq.hpp:28

ungq.hpp