Inequalities: Theory of Majorization and Its Applications

This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. … This work...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Marshall, Albert W. (Συγγραφέας), Olkin, Ingram (Συγγραφέας), Arnold, Barry C. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2011.
Έκδοση:Second.
Σειρά:Springer Series in Statistics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Introduction
  • Doubly Stochastic Matrices
  • Schur-Convex Functions
  • Equivalent Conditions for Majorization
  • Preservation and Generation of Majorization
  • Rearrangements and Majorization
  • Combinatorial Analysis
  • Geometric Inequalities
  • Matrix Theory
  • Numerical Analysis
  • Stochastic Majorizations
  • Probabilistic, Statistical, and Other Applications
  • Additional Statistical Applications
  • Orderings Extending Majorization
  • Multivariate Majorization
  • Convex Functions and Some Classical Inequalities
  • Stochastic Ordering
  • Total Positivity
  • Matrix Factorizations, Compounds, Direct Products, and M-Matrices
  • Extremal Representations of Matrix Functions.