Positive Definite Matrices (Princeton Series in Applied Mathematics)

Princeton University Press | 2006-12-18 | ISBN: 0691129185 | 264 pages | PDF | 1,4 MB

This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, quantum information theory, and geometry. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia carefully develops general techniques that have wide applications in the study of such matrices.

Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry--all built around the central theme of positive definite matrices. He discusses positive and completely positive linear maps, and presents major theorems with simple and direct proofs. He examines matrix means and their applications, and shows how to use positive definite functions to derive operator inequalities that he and others proved in recent years. He guides the reader through the differential geometry of the manifold of positive definite matrices, and explains recent work on the geometric mean of several matrices.



[Fast Download] Positive Definite Matrices (Princeton Series in Applied Mathematics)

Related eBooks:
Control Engineering: MATLAB Exercises
Mathematical Physics: Applied Mathematics for Scientists and Engineers, 2nd edition
Problems and Solutions in Plane Trigonometry, LaTeX Edition: For the use of Colleges and Schools
Foundations of Iso-Differential Calculus, Volume 6 : Theory of Iso-Functions of a Real Iso-Variable
The Application of Mathematics in the Engineering Disciplines
Modeling and Simulation in Python
On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks by Lluis Puig
Introduction to Plane Algebraic Curves
Lineare Algebra: Eine Einf¨¹hrung f¨¹r Studienanf?nger
Numerical Analysis for Statisticians, Second Edition
Analysis, Bd.1
Mathematics and Computation in Music
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.