Article
Revisiting Hua-Marcus-Bellman-Ando Inequalities on Contractive Matrices
Linear Algebra and its Applications
Document Type
Article
Publication Date
3-1-2009
Keywords
- Contractions,
- Contractive matrices,
- Determinantal inequalities,
- Hua's determinant,
- Inequality,
- Hua's matrix inequality,
- Matrix inequalities,
- Schur complements
Disciplines
Abstract
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
DOI
10.1016/j.laa.2007.11.011
Citation Information
Changqing Xu, Zhaodi Xu and Fuzhen Zhang. "Revisiting Hua-Marcus-Bellman-Ando Inequalities on Contractive Matrices" Linear Algebra and its Applications Vol. 430 Iss. 5-6 (2009) p. 1499 - 1508 ISSN: 0024-3795 Available at: http://works.bepress.com/fuzhen-zhang/132/
Under an Elsevier user license
AMS classification