L1NormComplex< Conf, Weight > Struct Template Reference

#include <alpaqa/functions/l1-norm.hpp>

Detailed Description

template<Config Conf, class Weight = typename Conf::real_t>
requires (std::is_same_v<Weight, typename Conf::real_t> || std::is_same_v<Weight, typename Conf::vec> || std::is_same_v<Weight, typename Conf::rvec> || std::is_same_v<Weight, typename Conf::crvec>)
struct alpaqa::functions::L1NormComplex< Conf, Weight >

ℓ₁-norm of complex numbers.

Template Parameters

Weight

Type of weighting factors. Either scalar or vector.

Definition at line 88 of file l1-norm.hpp.

Collaboration diagram for L1NormComplex< Conf, Weight >:

Public Types
using	weight_t = Weight

Public Member Functions
	L1NormComplex (weight_t λ)
	L1NormComplex ()
	L1NormComplex ()=default
real_t	prox (crcmat in, rcmat out, real_t γ=1)
real_t	prox (crmat in, rmat out, real_t γ=1)
	Note: a complex vector in ℂⁿ is represented by a real vector in ℝ²ⁿ.

Public Attributes
weight_t	λ

Static Public Attributes
static constexpr bool	scalar_weight = std::is_same_v<weight_t, real_t>

Member Typedef Documentation

weight_t

template<Config Conf, class Weight = typename Conf::real_t>

using weight_t = Weight

Definition at line 90 of file l1-norm.hpp.

Constructor & Destructor Documentation

L1NormComplex() [1/3]

template<Config Conf, class Weight = typename Conf::real_t>

L1NormComplex ( weight_t  λ )

inline

Definition at line 93 of file l1-norm.hpp.

L1NormComplex() [2/3]

template<Config Conf, class Weight = typename Conf::real_t>

L1NormComplex ( )

inline

Definition at line 104 of file l1-norm.hpp.

L1NormComplex() [3/3]

template<Config Conf, class Weight = typename Conf::real_t>

L1NormComplex ( )

default

Member Function Documentation

prox() [1/2]

template<Config Conf, class Weight = typename Conf::real_t>

real_t prox ( crcmat  in, rcmat  out, real_t  γ = 1  )

inline

Definition at line 113 of file l1-norm.hpp.

prox() [2/2]

template<Config Conf, class Weight = typename Conf::real_t>

real_t prox ( crmat  in, rmat  out, real_t  γ = 1  )

inline

Note: a complex vector in ℂⁿ is represented by a real vector in ℝ²ⁿ.

Definition at line 148 of file l1-norm.hpp.

Member Data Documentation

scalar_weight

template<Config Conf, class Weight = typename Conf::real_t>

constexpr bool scalar_weight = std::is_same_v<weight_t, real_t>

staticconstexpr

Definition at line 91 of file l1-norm.hpp.

λ

template<Config Conf, class Weight = typename Conf::real_t>

weight_t λ

Definition at line 111 of file l1-norm.hpp.

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The documentation for this struct was generated from the following file:

• src/alpaqa/include/alpaqa/functions/l1-norm.hpp