The technique of mating was invented by A. Douady and J. Hubbard as a was to partially parameterize the space of rational functions in degree 2 by pairs of quadratic polynomials. The idea is to take the Julia sets of two polynomials f₁(z)=z²+c₁ and f₂(z)=z²+c₂ which have locally connected Julia sets and where c₁ and c₂ are not in conjugate limbs of the Mandelbrot set. Then f₁ and f₂ are mateable if one can glue their Julia sets in reverse order so that one obtains a homeomorphic copy of another Julia set of a rational map of degree 2. The mating conjecture states that this is possible whenever c₁ and c₂ are not in conjugate limbs of the Mandelbrot set. For postcritically finite maps, the mating conjecture was solved by T. Lei, M. Rees and M. Shishikura. M. Yampolsky and S. Zakeri showed existence of matings between Siegel quadratic polynomials of bounded type. In this talk I will present a result by M. Yampolsky and myself showing that the starlike polynomial f(z)=z²-1 is mateable with any non-renormalizable Yoccoz polynomial not laying in the 1/2-limb of the Mandelbrot set.