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Public Member Functions |
Static Public Member Functions |
Protected Member Functions |
Protected Attributes |
List of all members
NewtonWithLineSearch Class Reference
The nonlinear solver solves a nonlinear system of equations. More...
Detailed Description
The nonlinear solver solves a nonlinear system of equations.
The Newton-Raphson method is used to iteratively update the initial guess until the residual becomes zero within specified tolerances.
Armijo line search strategy is used to search along the direction of the full Newton step for a decreasing residual norm.
#include <NewtonWithLineSearch.h>
Inheritance diagram for NewtonWithLineSearch:
Public Member Functions | |
| NewtonWithLineSearch (const OptionSet &options) | |
 Public Member Functions inherited from Newton | |
| Newton (const OptionSet &options) | |
| virtual std::tuple< bool, size_t > | solve (NonlinearSystem &system, Tensor &x) override |
| Solve the given nonlinear system. | |
| Public Member Functions inherited from NonlinearSolver | |
| NonlinearSolver (const OptionSet &options) | |
| Construct a new NonlinearSolver object. | |
| Public Member Functions inherited from Solver | |
| Solver (const OptionSet &options) | |
| Construct a new Solver object. | |
| Public Member Functions inherited from NEML2Object | |
| NEML2Object (const OptionSet &options) | |
| Construct a new NEML2Object object. | |
| virtual | ~NEML2Object ()=default |
| const OptionSet & | input_options () const |
| virtual void | setup () |
| Setup this object. | |
| const std::string & | name () const |
| A readonly reference to the object's name. | |
| const std::string & | type () const |
| A readonly reference to the object's type. | |
| const std::string & | path () const |
| A readonly reference to the object's path. | |
| const std::string & | doc () const |
| A readonly reference to the object's docstring. | |
| template<typename T = NEML2Object> | |
| const T * | host () const |
| Get a readonly pointer to the host. | |
| template<typename T = NEML2Object> | |
| T * | host () |
| Get a writable pointer to the host. | |
Static Public Member Functions | |
| static OptionSet | expected_options () |
| Static Public Member Functions inherited from Newton | |
| static OptionSet | expected_options () |
| Static Public Member Functions inherited from NonlinearSolver | |
| static OptionSet | expected_options () |
| Static Public Member Functions inherited from Solver | |
| static OptionSet | expected_options () |
| Static Public Member Functions inherited from NEML2Object | |
| static OptionSet | expected_options () |
Protected Member Functions | |
| virtual void | update (NonlinearSystem &system, Tensor &x) override |
| Update trial solution. | |
| virtual void | linesearch (NonlinearSystem &system, const Tensor &x, const Tensor &dx) |
| Perform Armijo linesearch. | |
| Protected Member Functions inherited from Newton | |
| virtual void | prepare (const NonlinearSystem &, const Tensor &) |
| Prepare solver internal data before the iterative update. | |
| virtual bool | converged (size_t itr, const torch::Tensor &nR, const torch::Tensor &nR0) const |
| Check for convergence. The current iteration is said to be converged if the residual norm is below the absolute tolerance or or the ratio between the residual norm and the initial residual norm is below the relative tolerance. | |
| virtual void | final_update (NonlinearSystem &system, Tensor &x) |
| Do a final update to track AD function graph. | |
| virtual Tensor | solve_direction (const NonlinearSystem &system) |
| Find the current update direction. | |
Protected Attributes | |
| unsigned int | _linesearch_miter |
| Linesearch maximum iterations. | |
| Real | _linesearch_sigma |
| Decrease factor for linesearch. | |
| Real | _linesearch_c |
| Stopping criteria for linesearch. | |
| Scalar | _alpha |
| The line search parameter. | |
Additional Inherited Members | |
| Public Attributes inherited from NonlinearSolver | |
| Real | atol |
| Absolute tolerance. | |
| Real | rtol |
| Relative tolerance. | |
| unsigned int | miters |
| Maximum number of iterations. | |
| Public Attributes inherited from Solver | |
| const bool | verbose |
| Whether to print additional (debugging) information during the solve. | |
Constructor & Destructor Documentation
◆ NewtonWithLineSearch()
| NewtonWithLineSearch | ( | const OptionSet & | options | ) |
Member Function Documentation
◆ expected_options()
|
static |
◆ linesearch()
Perform Armijo linesearch.
◆ update()
|
overrideprotectedvirtual |
Update trial solution.
Reimplemented from Newton.
Member Data Documentation
◆ _alpha
|
protected |
The line search parameter.
◆ _linesearch_c
|
protected |
Stopping criteria for linesearch.
◆ _linesearch_miter
◆ _linesearch_sigma
|
protected |
Decrease factor for linesearch.
