Please check My solution

Hi,

this is my first time I am using mathlab please help me by checking my solution if it is okay or not? also please I don't know how to rum the math lab after to see the 3 D OF THE SURGACE after finish the solution.

Q/ Run gardeint ascent , starting at (-1.6, -1.6), with Alfa= 0.2 and 63 iterations for the surface , z =f(x,y)=(e)^(-x^(2 )y^(2)) sinxy, -Pi <= x and x < Pi, -Pi <= y and y < Pi

Soluation:

>> [x,y]=meshgrid(-pi:0.1:pi,-pi:0.1:pi);
>> z=exp(-x.^2*y.^2).*sin(x*y);
>> mesh(x,y,z); axis image;
>> options= {,'interpreter','latex','fontSize',14}; % Use LATEX for labeling
>>  xlabel('$x$-axis',options{:}); ylabel('$y$-axis',options{:});
>> title('ASCENT',options{:});
>> hold on
>> p=[-1.6,-1.6];
>> plot(p(1,1),p(1,2),'or','MarkerSize',10);
>> for i=1:63
x=p(1,size(p,2));
y=p(2,size(p,2));
fx=-2*x*y^2*exp(-x^2*y^2)*sin(x*y);
fy= -2*x^2*y*exp(-x^2*y^2)*sin(x*y);
p=[p p(:,size(p,2))+0.2*[fx;fy]];  % the only line that really maters
x=p(1,:);  % so that you copy z componenet copy from maple
y=p(2,:); 
plot(p(1,:),p(2,:),'k.-','MarkSize',7);
stem3(p(1,:),p(2,:),exp(-x.^2*y.^2).*(sinx*y),'b-+');
 
>> 'end'

[Walter Roberson]

No,

y=p(2,size(p,2));

p(2,2) does not exist on the first iteration.

p=[-1.6,-1.6];

I would suggest to you that you are using the second column to store the y coordinates, instead of the second row

x = p(i, 1);
y = p(i, 2);

[Yousif Hamzah]

Thank You , can you explain to me what do you mean that p(2,2) not exist on the first iteration

do yiu mean x= (pi,1);

y= (pi,2);

[Walter Roberson]

You assign

p=[-1.6,-1.6];

That makes p a 1 x 2 scalar.

plot(p(1,1),p(1,2),'or','MarkerSize',10);

That statement is okay because p(1,1) and p(1,2) both exist.

for i=1:63
x=p(1,size(p,2));

That statement is okay because size(p,2) is 2 because p is 1 x 2, and p(1,(2)) exists.

y=p(2,size(p,2));

size(p,2) is 2 because p is 1 x 2, so you are asking to access p(2,2), but p is only 1 x 2 so that will fail.

do yiu mean x= (pi,1);

No, that would be invalid syntax.

x = (pi,1)

↑

Error: Invalid expression. When calling a function or indexing a variable, use parentheses. Otherwise, check for mismatched delimiters.

You cannot have (expression,expression) in MATLAB, except in the context of indexing or passing parameters to functions.

It is not obvious to me why you would think that the transcendtal constant π would be useful for your calculations.