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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def optimize(self, G, params0=None, n_times=10, verbose=False, vmax=5, perturb=1e-3, factr=1e7):
 """ Optimize the model considering G """

        # set params0 from null if params0 is None
        if params0 is None:
            if self.null is None:
                if verbose:     print(".. fitting null model")
                self.fitNull()
            if self.bgRE:
                params0 = sp.concatenate([self.null['params0_g'], self.null['params0_n']])
            else:
                params0 = self.null['params0_n']
            params_was_None = True
        else:
            params_was_None = False
        G *= sp.sqrt(self.N/(G**2).sum())
        self._gp.covar.G = G
        start = TIME.time()
        for i in range(n_times):
            if params_was_None:
                n_params = self.Cr.getNumberParams()
                _params0 = {'covar': sp.concatenate([1e-3*sp.randn(n_params), params0])}
            else:
                _params0 = {'covar': params0}
            self._gp.setParams(_params0)
            conv, info = self._gp.optimize(factr=factr, verbose=verbose)
            conv *= self.Cr.K().diagonal().max()<vmax
            conv *= self.getLMLgrad() < 0.1
            if conv or not params_was_None: break
        self.infoOpt = info
        if not conv:
            warnings.warn("not converged")
        # return value
        RV = {}
        if self.P>1:
            RV['Cr']  = self.Cr.K()
            if self.bgRE: RV['Cg']  = self.Cg.K()
            RV['Cn']  = self.Cn.K()
        RV['time']  = sp.array([TIME.time()-start])
        RV['params0'] = _params0
        RV['nit'] = sp.array([info['nit']])
        RV['funcalls'] = sp.array([info['funcalls']])
        RV['var']    = self.getVariances()
        RV['conv']  = sp.array([conv])
        RV['NLLAlt']  = sp.array([self.getNLLAlt()])
        RV['LLR']    = sp.array([self.getLLR()])
        RV['LMLgrad'] = sp.array([self.getLMLgrad()])
        return RV