My name is (Huda Younus Najm), I am an assistant lecturer in the department of Mathematics with a specialization in Mathematics computer (applied) at Duhok University. I have got my Masters of Mathematics from the Mosul University in the Mosul in 2010-2011, as well as a Bachelors of Mathematics in Mosul University in 2008-2009. My Master was on numerical optimization, I studied unconstrained optimization problems, by used conjugate gradient method and I evaluate a new parameter and find the optimal solution by minimized unconstrained problem . then I studied a hybrid unconstrained optimization problem and I find a new formula for by define it in the following form: .also I minimized the problems by depend of .