How do i write the code of lagrange multiplier in lagrange function?

How do i write the code of lagrange multiplier in lagrange function ? Because the lagrange multiplier is a varible ,like x,y,z.not a random value,so for example,the function i want to optimize is as below

then how do i write the matlab code of lagrage multiplier ? because there are lots of a_k and b_k,and they all should be calculated,so i can't just use "rand" to produce them.

Does anyone know how to write the code of this? or is there any reference i can refer?

[madhan ravi]

https://www.mathworks.com/company/newsletters/articles/optimization-using-symbolic-derivatives.html

https://www.mathworks.com/help/optim/examples/using-symbolic-mathematics-with-optimization-toolbox-solvers.html

[Torsten]

Which of the K k's do you mean when you define your objective function as

min: x_k^2+y_k^2

?

Answer 1

[Stephan]

Hi,

here is an example, which you can use to learn how you can tackle this problem in Matlab:

https://de.mathworks.com/matlabcentral/answers/436044-is-there-anyone-to-help-me-for-lagrange-multipliers-method

Best regards

Stephan

[Taiwo Fasae]

I beg to differ. That link didn't lead to a solution for dealing with nonlinear constraints in langrange multipliers. Please show me one when you find it.