yaeos__math_nonlinearsolvers Module

Uses

- yaeos__math_linalg
- yaeos__constants
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Used by

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Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.

Interfaces

public interface to_solve

public subroutine to_solve(X, F, J)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=pr),	intent(in)			::	X(:)
real(kind=pr),	intent(out)			::	F(:)
real(kind=pr),	intent(out)			::	J(:,:)

Subroutines

public subroutine homotopy(sub, x, tol, max_its, its)

Arguments

Type	Intent	Optional	Attributes		Name
procedure(to_solve)				::	sub
real(kind=pr),	intent(inout)			::	x(:)
real(kind=pr),	intent(in)			::	tol
integer,	intent(in)			::	max_its
integer,	intent(out)			::	its

public subroutine newton(sub, x, tol, max_its, its)

Muldimensional Newton method with simple damping.

Arguments

Type	Intent	Optional	Attributes		Name
procedure(to_solve)				::	sub	Subroutine with the system of equations to solve and its Jacobian matrix
real(kind=pr),	intent(inout)			::	x(:)	Vector of variables used for initialization, updated to the solution at the end
real(kind=pr),	intent(in)			::	tol	Absolute tolerance on the function equations
integer,	intent(in)			::	max_its	Maximum number of iterations
integer,	intent(out)			::	its	Number of iterations used