Singular value decomposition, Moore-Penrose inverse and kernel norm will be introduced in detail in some mathematics textbooks, thank you.
Look at matrix theory: introduce the basic contents of linear space, linear mapping, unitary space, Euclidean space, Jordan canonical form, matrix decomposition, matrix norm, matrix derivative, integral, series, matrix function, generalized inverse matrix and so on. Singular value decomposition, Moore-Penrose inverse and kernel norm are just some concepts in matrix.