Is this objective convex? If not is there a way to make it convex?
I am trying to optimize the values of the matrix A for some defined values of the vectors x,y,w
$ min_A: \sum_{m} \Bigg({\dfrac{x_m * y_m + \sum (A_m\odot w)}{x_m + \sum A_m}}-10\Bigg)^2$
$A_m$ is the column m of the matrix $A$
$x_m$ is the value m of the vector $x$
Thank you
with $\odot$ I mean elementwise multiplication