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Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.

0 votes
1 answer
531 views

a sum of ratios of quadratic forms

I have the following function that I would like to optimize over the value A $$f(A)=\sum_k \frac{\mathbf{y}_k^H\left[\begin{array}{cc} 1&0\\ 0& A \end{array} \right]\mathbf{x}_k\mathbf{x}_k^H\left[\be …
Max Hamper's user avatar
1 vote
0 answers
90 views

Separable Least squares - is there a notion of conjugate directions?

I have a general question. Suppose I have the following to optimize $$\|Y-A(\mathbf{x})B(\mathbf{y})\|^2$$ where $Y$ is a vector, $A(\mathbf{x})$ is a matrix that depends on a vector $\mathbf{x}$ in a …
Max Hamper's user avatar