Four magnetization models, now considered as classical, are presented: the
Stoner-Wolhfarth model, the Jiles-Atherton model, the Globus model, and the
Preisach model, The paper describes the methods each model uses to simulat
e the magnetization mechanisms, reversible and irreversible processes, majo
r and minor loops, and anhysteretic behavior. Improvements and changes are
proposed to the Stoner-Wolhfarth and Globus models, The necessary simplifyi
ng assumptions define the limits of applicability of the models. The paper
concludes with a table of the main characteristics of each model to help a
potential user to make a suitable choice.