How can I calculate the gradient of a vector in MATLAB?

I have

The vector r, which is a 1x8 vector,

r=(r_1, r_2,…,r_8)^T,

and the Jacobian defined by J, as a 8x8 matrix

J = (\partial r_1/partial k_1 \partial r_1/partial k_2

\partial r_2/partial k_1 \partial r_2/partial k_2

…

\partial r_8/partial k_1 \partial r_8/partial k_2)

and I have F = 0.5 \sum_i r_i^2

How can I find the gradient of F with respect to k?

Thanks

Answer 1

[Star Strider]

That depends on how you want to do it.

The Symbolic Math Toolbox has the gradient and jacobian functions.

To do it numerically, use the gradient function.