I'm facing this overdetermined system of equations and I'm looking for a numerical optimization method to solve it by minimizing and using least square method. I don't know how to write some formula here so I wrote it in mathjax and copied the picture here: A is the value of f_1(y) = f_2(y) = ... = f_N-1(y) =A. Is this minimization suitable for solving the system of equations? Do you have any suggestions? Which numerical method is suitable for solving this minimization if it is useful? Thanks
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Mahdi Khosravi fbahr ♦ |

I assume \(j=\sqrt{-1}\) and \(\left|\cdot\right|\) is complex modulus? That being the case, is \(y\in\mathbb{R}^K\) or is \(y\in\mathbb{C}^K\)?