Solve a system of equations with constraints

[Srini Nagaraj]

Hi,

I am trying to solve a system of equations of the form :

Ai = Bi [Xi - Sum {Bi*Xi}]

where we need to solve for Xi given that Ai and Bi are known numbers for i=1,2...30 and Sum is the summation operator, with constraints : 1) Sum of Bi=30 and 2) Sum of Xi=1

I am trying to use the procedure described in https://www.stata.com/support/faqs/p...ear-equations/, but I have 30 equations here. Is there a simple way to code this in Mata.

Any help is much appreciated.

Thank you

[Attaullah Shah]

Have you tried mm_root() function from the moremata package

ssc install moremata