Introduction to Matrix Analysis and Applications

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...

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Bibliographic Details
Published in:Springer eBooks
Main Authors: Hiai, Fumio (Author), Petz, Dénes (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Series:Universitext,
Subjects:
Online Access:http://dx.doi.org/10.1007/978-3-319-04150-6
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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.