42 static function [f , r ] =
F3() {
43 f = @(x,~,~)(1.25 + cos(5.4*x(2,:))) ./ (6+6*(3*x(1,:)-1).^2);
53 static function [f , r ] =
F7() {
54 f = @(x,~,~)2*cos(10*x(1,:)).*sin(10*x(2,:)) + sin(10*x(1,:).*x(2,:));
64 static function [f , r ] =
F8() {
65 f = @(x,~,~)exp(-((5-10*x(1,:)).^2)/2) + .75*exp(-((5-10*x(2,:)).^2)/2)...
66 +.75*exp(-((5-10*x(1,:)).^2)/2).*exp(-((5-10*x(2,:)).^2)/2);
76 static function [f , r ] =
F10() {
77 f = @(x,~,~)exp(-0.04*sqrt(sum((80*x(1,:)-40).^2 + (90*x(2,:)-45).^2)))...
78 *cos(.15*sqrt(sum((80*x(1,:)-40).^2 + (90*x(2,:)-45).^2)));
89 f = @(x,~,~).75*exp(-sum((9*x-2).^2)/4) ...
90 + .75*exp(-((9*x(1,:)+1).^2)/49 - (9*x(2,:)+1)/10) ...
91 + .5*exp(-((9*x(1,:)-7).^2 + (9*x(2,:)-3).^2)/4) ...
92 - .2*exp(-(9*x(1,:)-4).^2 - (9*x(2,:)-7).^2);
103 f = @(x,~,~).75*exp(-sum((9*x-2).^2)/4) ...
104 + .75*exp(-((9*x(1,:)+1).^2)/49 - sum((9*x(2:3,:)+1)/10)) ...
105 + .5*exp(-((9*x(1,:)-7).^2 + (9*x(2,:)-3).^2 + (9*x(3,:)-5).^2)/4) ...
106 - .2*exp(-(9*x(1,:)-4).^2 - (9*x(2,:)-7).^2 - (9*x(3,:)-5).^2);
static function [ f , r ] = F10()
Function "F10" from [RB99].
static function [ f , r ] = F7()
Function "F10" from [RB99].
static function [ f , r ] = F8()
Function "F8" from [RB99].
static function [ f , r ] = F3()
Function "F3" from [RB99].
static function [ f , r ] = Franke3D()
Test function from [LM05, FN80].
static function [ f , r ] = Franke2D()
Test function from [FN80].
TestFunctions: Some test functions for nonlinear approximation methods.