Positive Definite Matrices
jaan 2009 · Princeton University Press
E-raamat
240
lehekülge
family_home
Sobilik
info
reportHinnangud ja arvustused pole kinnitatud. Lisateave
Teave selle e-raamatu kohta
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.
Positive Definite Matrices is an informative and useful reference book for mathematicians and other researchers and practitioners. The numerous exercises and notes at the end of each chapter also make it the ideal textbook for graduate-level courses.
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.
Positive Definite Matrices is an informative and useful reference book for mathematicians and other researchers and practitioners. The numerous exercises and notes at the end of each chapter also make it the ideal textbook for graduate-level courses.
Teave autori kohta
Rajendra Bhatia is Professor of Mathematics at the Indian Statistical Institute in New Delhi. He is the author of five books, including Matrix Analysis.
Hinnake seda e-raamatut
Andke meile teada, mida te arvate.
Lugemisteave
Nutitelefonid ja tahvelarvutid
Installige rakendus Google Play raamatud Androidile ja iPadile/iPhone'ile. See sünkroonitakse automaatselt teie kontoga ja see võimaldab teil asukohast olenemata lugeda nii võrgus kui ka võrguühenduseta.
Sülearvutid ja arvutid
Google Playst ostetud audioraamatuid saab kuulata arvuti veebibrauseris.
E-lugerid ja muud seadmed
E-tindi seadmetes (nt Kobo e-lugerid) lugemiseks peate faili alla laadima ja selle oma seadmesse üle kandma. Failide toetatud e-lugeritesse teisaldamiseks järgige üksikasjalikke abikeskuse juhiseid.
