It's correctly used in this context, where it's not referring to a particular well known algorithm in the context of computer science, but rather the " process

It's correctly used in this context, where it's not referring to a particular well known algorithm in the context of computer science, but rather the " process or set of rules to be followed in calculations or other problem-solving operations" that the computer takes to determine eligibility. Considering the context and the intended audience, it's used correctly here.