Inequalities: Theory of Majorization and Its Applications I Theory of Majorization 1 Introduction 3 A Motivation and Basic Definitions . . . . . . . . . . 3 B Majorization as a Partial Ordering . . . . . . . . . 18 C Order-Preserving Functions . . .
The singular value decomposition (SVD) is not only a classical theory in matrix computation and analysis, but also is a powerful tool in ma- chine learning and modern data analysis. In this tutorial we first study the basic notion of SVD and then sh
A projected gradient algorithm (PGA) which is derived from the majorization-minimization (MM) framework has been proposed recently for Hessian-matrix Frobenius norm regularization image restoration model so that it currently p