How to find intersection points of a vector-valued curve and a function?

Hello

I have two curves,one has function and another one is just vector-valued matrix

How can I find the cross points between those two?

Answer 1

[Star Strider]

It is likely easiest to evaluate the function, then interpolate to find the intersection.

Example —

x = linspace(0, 2);
vector = x.^2;

f = @(z) 5./(1 + z);

intx = interp1(f(x) - vector, x, 0, 'linear');

figure
plot(x, vector)
hold on
plot(x, f(x))
plot(intx, f(intx), 'pg', 'MarkerSize',10)
hold off
grid
legend('Vector', 'Evaluated Function', 'Intersection')

.