The code highlights the Gradient Descent method. The algorithm works with any quadratic function (Degree 2) with two variables (X and Y). Refer comments for all the important steps in the code to understand the method. In order to implement the algorithm for higher order polynomial equations (more than degree 2); the optimal step length needs to be calculated using fmincon or fminbnd after every step which involves using function handles making the algorithm complex. However, one can easily assume the step size and arrive at the minimum or optimum answer at the cost of more computations. So, to implement the code for higher order polynomials, instead of computing step length at each iteration, one can assume h (step length) as a constant. Let me know if you are interested in the code for higher order polynomials with 2 variables.
- Thank you
Soumitra Sitole (2022). Gradient Descent (Solving Quadratic Equations with Two Variables) (https://www.mathworks.com/matlabcentral/fileexchange/62010-gradient-descent-solving-quadratic-equations-with-two-variables), MATLAB Central File Exchange. 取得済み .
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