nonlin_core Module Reference

nonlin_core More...

Data Types
type	equation_optimizer
	A base class for optimization of an equation of multiple variables. More...
type	equation_solver
	A base class for various solvers of nonlinear systems of equations. More...
type	equation_solver_1var
	A base class for various solvers of equations of one variable. More...
interface	fcn1var
	Describes a function of one variable. More...
type	fcn1var_helper
	Defines a type capable of encapsulating an equation of one variable of the form: f(x) = 0. More...
interface	fcnnvar
	Describes a function of N variables. More...
type	fcnnvar_helper
	Defines a type capable of encapsulating an equation of N variables. More...
interface	gradientfcn
	Describes a routine capable of computing the gradient vector of an equation of N variables. More...
type	iteration_behavior
	Defines a set of parameters that describe the behavior of the iteration process. More...
interface	jacobianfcn
	Describes a routine capable of computing the Jacobian matrix of M functions of N unknowns. More...
interface	nonlin_optimize_fcn
	Describes the interface of a routine for optimizing an equation of N variables. More...
interface	nonlin_solver
	Describes the interface of a nonlinear equation solver. More...
interface	nonlin_solver_1var
	Describes the interface of a solver for an equation of one variable. More...
type	value_pair
	Defines a pair of numeric values. More...
interface	vecfcn
	Describes an M-element vector-valued function of N-variables. More...
type	vecfcn_helper
	Defines a type capable of encapsulating a system of nonlinear equations of the form: F(X) = 0. This type is used to establish the system of equations to solve, and provides a means for computing the Jacobian matrix for the system of equations, and any other ancillary operations that may be needed by the solver. More...

Functions/Subroutines
subroutine, public	print_status (iter, nfeval, njaceval, xnorm, fnorm)
	Prints the iteration status.

Detailed Description

nonlin_core

Purpose

To provide various routines to solve equations of one or many variables. Actual solvers are located in the following modules.

• Module: nonlin_solve
  • quasi_newton_solver
  • newton_solver
  • brent_solver
  • newton_1var_solver
• Module: nonlin_least_squares
  • least_squares_solver
• Module: nonlin_optimize
  • nelder_mead
  • bfgs

Function/Subroutine Documentation

print_status()

subroutine, public nonlin_core::print_status	(	integer(int32), intent(in)	iter,
		integer(int32), intent(in)	nfeval,
		integer(int32), intent(in)	njaceval,
		real(real64), intent(in)	xnorm,
		real(real64), intent(in)	fnorm )

Prints the iteration status.

Parameters

[in]	iter	The iteration number.
[in]	nfeval	The number of function evaluations.
[in]	njaceval	The number of Jacobian evaluations.
[in]	xnorm	The change in variable value.
[in]	fnorm	The residual.

Definition at line 1995 of file nonlin_core.f90.