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For questions about mathematical optimization problems involving a nonlinear objective function and/or nonlinear constraints.

1 vote
2 answers
178 views

Linear approximation of fraction for a maximization problem

I have a problem given as \begin{align*} \underset{\mathbf{x}}{max} & \left|\mathop{\sum_{n=1}^{N}}\left[\frac{\mathbf{a}\left(n\right)}{\mathbf{b}\left(n\right)+\mathbf{x}\left(n\right)}\right]\right …
Muhammad's user avatar
1 vote
2 answers
611 views

Non linear programming

I want to solve a large scale non linear optimization problem and there are two methods interior point method and sequential quadric programing usually used to solve non linear optimization problem. I …
Muhammad's user avatar
1 vote
2 answers
137 views

My barrier function is always giving a complex number

I am working on implementing the interior point method, and the barrier function always gives me a complex number. B(x) = f(x) - t * sum(ln(hi(x))). I have changed the value of 't' to see the B(x) be …
Muhammad's user avatar
2 votes
2 answers
116 views

Potential methods for solving quadratic optmization problem

I am trying to solve a non-convex optimization problem with the help of sequential quadratic programming. I need to develop an algorithm inside SQP to solve this subproblem. What potential methods (c …
Muhammad's user avatar