Matrix model and Yukawa couplings on the magnetized noncommutative torus

<!--HTML-->The IKKT model is proposed as a non-perturbative formulation of superstring theory. I consider the magnetized toroidal compactifications of the IKKT model. I find that the chirality and the generation structure are almost same with the magnetized toroidal compactifications of the super Yang-Mills theory. In addition, I compute the Yukawa couplings including a noncommutative parameter. In comparison with the magnetized toroidal compactifications of the super Yang-Mills theory, I find that the effect of the noncommutative parameter appears the overall factor of the Yukawa couplings.