  Efficiently solving sparse linear algebraic equations is an important
research topic of numerical simulation. Commonly used approaches include direct
methods and iterative methods. Compared with the direct methods, the iterative
methods have lower computational complexity and memory consumption, and are
thus often used to solve large-scale sparse linear equations. However, there
are numerous iterative methods, parameters and components needed to be
carefully chosen, and an inappropriate combination may eventually lead to an
inefficient solution process in practice. With the development of deep
learning, intelligent iterative methods become popular in these years, which
can intelligently make a sufficiently good combination, optimize the parameters
and components in accordance with the properties of the input matrix. This
survey then reviews these intelligent iterative methods. To be clearer, we
shall divide our discussion into three aspects: a method aspect, a component
aspect and a parameter aspect. Moreover, we summarize the existing work and
propose potential research directions that may deserve a deep investigation.
