*Article* **Mechanical Models for Hermite Interpolation on the Unit Circle**

**Elías Berriochoa 1,\*,†, Alicia Cachafeiro 1,\*,†, Héctor García Rábade 2,† and José Manuel García-Amor 3,†**


**Abstract:** In the present paper, we delve into the study of nodal systems on the unit circle that meet certain separation properties. Our aim was to study the Hermite interpolation process on the unit circle by using these nodal arrays. The target was to develop the corresponding interpolation theory in order to make practical use of these nodal systems linked to certain mechanical models that fit these distributions.

**Keywords:** Hermite interpolation; nodal systems; unit circle; convergence
