Keywords: 
• 张量网络模型 /
• 张量网络态 /
• 数值重正化群

Abstract: The tensor renormalization group is a new class of numerical methods devel-oped in recent years. It combines the tensor network representations of the classical partition function and quantum wave function with the renormalization group techniques, and plays a more and more important role in the numerical study of strongly correlated systems. Taking the classical statistical models and quantum lattice models as two examples, we give a brief introduction to its basics and the general routine for studying a given physical model, and discuss possible future developments as well as the problems that need to be solved in this field.