How to Find root of continuous function of one vector

I want to find ALL the y vectors that give me f(y)=0. Do you have a better function or method to do that ?

thanks

function [] = TryCode() 

options = optimset('Display','Iter'); 

[sol,fval,exitflag] = fsolve(@MyFunc,zeros(1,5),options) ;

end

function f = MyFunc(y)

R1 = 0.5*(y(1)+y(2))+8*(y(1)-y(2));

R2 = 0.5*(y(2)+y(3))+8*(y(2)-y(3));

R3 = 0.5*(y(3)+y(4))+8*(y(3)-y(4));

R4 = 0.5*(y(4)+y(5))+8*(y(4)-y(5));

f = (1+R1)*(1+R2)*(1+R3)*(1+R4) - 1 ;

end

[Matt J]

One equation in five unknowns? There are surely infinitely many solutions, probably not even countably many.

[Mukul Rao]

Try the non-linear system of equations solver in the symbolic toolbox. It has the capability to express solutions as a union of vector spaces.

web(fullfile(docroot, 'symbolic/mupad_ug/solve-algebraic-systems.html#math-solving-equations-systems-nonlinear'))