Introduction to Matrix Analysis and Applications

• Main Authors: Hiai, Fumio (Author), Petz, Dénes (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Matrix theory.; Algebra.; Linear and Multilinear Algebras, Matrix Theory.

Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related struc...

Table of Contents:

• Fundamentals of operators and matrices
• Mappings and algebras
• Functional calculus and derivation
• Matrix monotone functions and convexity
• Matrix means and inequalities
• Majorization and singular values
• Some applications.