Revisiting Hua-Marcus-Bellman-Ando Inequalities on Contractive Matrices
Linear Algebra and its Applications
Contractions, Contractive matrices, Determinantal inequalities, Hua's determinant, Inequality, Hua's matrix inequality, Matrix inequalities, Schur complements
Loo-Keng Hua showed some elegant matrix and determinant inequalities via a matrix identity and proved the positive semidefiniteness of a matrix involving the determinants of contractive matrices through group representation theory. His study was followed by M. Marcus, R. Bellman and T. Ando. The purpose of current paper is to revisit the Hua’s original work and the results of Marcus, Bellman and Ando with our comments, and to present analogs and extensions to their results
Xu, Changqing; Xu, Zhaodi; and Zhang, Fuzhen, "Revisiting Hua-Marcus-Bellman-Ando Inequalities on Contractive Matrices" (2009). Mathematics Faculty Articles. 102.