I am using R for some estimation purposes. I am applying MLE, MME and MQLE and some other related techniques to estimated parameters.

Particularly, in my case, I have to solve 3 simultaneous equations in order to obtain the 3 parameter estimates under some of the methods stated above. I am using "optim" for optimization purposes for MLE, however I am struggling with solving simultaneous equations iteratively.

Any suggestion would be greatly appreciable!

thank you.