VectorNewton – Numerical Methods

public function VectorNewton(f, J, x0, err_x, err_f, max_iter) result(x)

Solves the vector non-linear equation: $f(x) = 0$ using Newton's method.

Arguments

Type

Intent

Optional

Attributes

Name

public function f(x) result(y)

function defining the non-linear equation

Arguments

Type	Intent	Optional	Attributes		Name
real,	intent(in)			::	x(:)	independent variable

Return Value real, (size(x))

dependent variable

public function J(x) result(y)

jacobian of function $f$

Arguments

Type	Intent	Optional	Attributes		Name
real,	intent(in)			::	x(:)	independent variable

Return Value real, (size(x),size(x))

dependent variable

real,

intent(in)

x0(:)

initial aproximation to the solution: $(x_0,y_0)$

real,

intent(in)

err_x

admisible error in the solution

real,

intent(in)

err_f

admisible error in the equation

integer,

intent(in)

max_iter

maximum number of iterations

Return Value real, (size(x0))

numerical aproximation to the solution

Calls

Help

Called by

Help

VectorNewton Function

Contents

public function VectorNewton(f, J, x0, err_x, err_f, max_iter) result(x)

Arguments

public function f(x) result(y)

Arguments

Return Value real, (size(x))

public function J(x) result(y)

Arguments

Return Value real, (size(x),size(x))

Return Value real, (size(x0))

Calls

Called by