I have 3 vectors X(i,j);Y(i,j) and Z(i,j).Z is a function of x and y numerically. I want to plot the gradient of z with respect to x and y. Can anyone suggest me how to find the gradient in the above case? Thanks, -Bhaskar
MATLAB: Gradient of a vector
vector gradient
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It is because your function f is not updated. Here is what you need to do.
syms x y z f = x^2 + x + y^2 - y; f = subs(f,y,z); g = gradient(f, [x,z])The result is
g = 2*x + 1 2*z - 1If you don't have an equation of your dataset, then it will be simpler to use the following methods
spline()
rng(0)x = 1:10; % x-values
y = rand(size(x)); % random y-values
xv = linspace(min(x), max(x), 100); % more points on x-axis to make a smooth curve
yv = spline(x, y, xv); % interpolation using spline
plot(x, y, 'ro-', xv, yv, 'b-')
pchip()
rng(0)x = 1:10; % x-valuesy = rand(size(x)); % random y-valuesxv = linspace(min(x), max(x), 100); % more points on x-axis to make a smooth curveyv = pchip(x, y, xv); % interpolation using pchip
plot(x, y, 'ro-', xv, yv, 'b-')
makima()
rng(0)x = 1:10; % x-valuesy = rand(size(x)); % random y-valuesxv = linspace(min(x), max(x), 100); % more points on x-axis to make a smooth curveyv = makima(x, y, xv); % interpolation using makima
plot(x, y, 'ro-', xv, yv, 'b-')
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