Tensor Eigenvalue and SVD from the Viewpoint of Linear Transformation

A linear transformation from vector space to another can be represented as a matrix. This close relationship between the matrix and is helpful for study of matrices. In this paper, tensor regarded generalization viewpoint instead quadratic form in theory; we discuss some operations present definitions theorems related tensors. For example, provide triangular eigenvalue tensor, QR decomposition singular value decomposition. Furthermore, explain significance our their differences existing definitions.