I need to optimize a problem of the following form within Python
$ minimize$
$\qquad abs(\Delta w) \;\epsilon^T$
$s.t.$
$\qquad(w+\Delta w)C(w+\Delta w)^T \; \le 9500 (some\; finite\; number) \\\\[2ex] \qquad\frac{\Delta w_i}{w_i} \gt -1 \; \forall\; i$
$\text{w = Vector of weights}$
$\Delta\text{w = Vector of change in weights}$
$\epsilon\text{ = Vector of costs}$
$\text{C = Variance Covariance matrix}$