pRC::Solver::LU Class Reference

Class representing an LU solver for linear equations A*x=b. More...

#include <lu.hpp>

Public Member Functions
template<Operator::Transform OT = Operator::Transform::None, Operator::Restrict OR = Operator::Restrict::None, Operator::Hint OH = Operator::Hint::None, class XA , class RA = RemoveConstReference<XA>, class XB , class RB = RemoveReference<XB>, class XX = decltype(zero<RB>()), class RX = RemoveReference<XX>> requires IsInvocable<Apply<OT, OR, OH>, XA, XX>
constexpr auto	operator() (XA &&A, XB &&b) const
	Solves the linear system A*x=b using an LU decomposition.

Detailed Description

Class representing an LU solver for linear equations A*x=b.

This solver utilizes the LU decomposition to solve linear equations exactly.

Member Function Documentation

operator()()

template<Operator::Transform OT = Operator::Transform::None, Operator::Restrict OR = Operator::Restrict::None, Operator::Hint OH = Operator::Hint::None, class XA , class RA = RemoveConstReference<XA>, class XB , class RB = RemoveReference<XB>, class XX = decltype(zero<RB>()), class RX = RemoveReference<XX>>
requires IsInvocable<Apply<OT, OR, OH>, XA, XX>

auto pRC::Solver::LU::operator() ( XA && A, XB && b ) const

inlineconstexpr

Solves the linear system A*x=b using an LU decomposition.

Template Parameters

OT	Operator::Transform, indicates if the operator should be transformed before application (default is Operator::Transform::None)
OR	Operator::Restrict, indicates if a restriction should be applied to the operator before application (default is Operator::Restrict::None)
H	Operator::Hint, indicates if the matrix has a special format (e.g., lower triangular) (default is Operator::Hint::None)
XA	pRC tensorish class (inferred)
XB	pRC tensorish class (inferred)

Parameters

A	object of class XA, operator of the linear equation
b	object of class XB, right hand side of the linear equation

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

• pRC/prc/algorithms/solver/lu.hpp