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Positive Definite Matrices (Princeton Series in Applied Mathematics Book 24) by Bhatia, Rajendra is a nonfiction available to read on EtoBox.

What is Positive Definite Matrices (Princeton Series in Applied Mathematics Book 24) about?

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 defi

Who reads Positive Definite Matrices (Princeton Series in Applied Mathematics Book 24)?

Author

Bhatia, Rajendra

Publisher

Princeton University Press

Published

2009

Language

EN

ISBN

9780691168258

Category

nonfiction

Subjects

Mathematics, Stem