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Matrix completions, moments, and sums of hermitian squares / / Mihály Bakonyi and Hugo J. Woerdeman



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Autore: Bakonyi Mihály Visualizza persona
Titolo: Matrix completions, moments, and sums of hermitian squares / / Mihály Bakonyi and Hugo J. Woerdeman Visualizza cluster
Pubblicazione: Princeton, N.J., : Princeton University Press, 2011
Edizione: Course Book
Descrizione fisica: 1 online resource (533 p.)
Disciplina: 512.9434
Soggetto topico: Matrices
Soggetto non controllato: Bernstein–Szeg ő measures
Carathéodory problem
Christoel–Darboux formulas
Corona problem
Fejér–Riesz factorization
Hamburger problem
Hermitian matrices
Hermitian matrix expressions
Hermitian squares problems
Hilbert spaces
Hilbert–Schmidt norm control
MATLAB codes
Nehari problem
Nevanlinna–Pick problem
Schur complement
Toeplitz case
Toeplitz matrices
banded case
chordal case
completion problems
complex function theory
cones
contractive completions
control theory
electrical engineering
linear algebra
mathematics
measure theory
minimal rank completions
multivariables
operator theory
partial operator matrices
positive Carathéodory interpolation
positive definite completions
positive semidefinite completion
quantum information
semidefinite completions
semidefinite matrices
semidefinite operator matrices
semidefinite programming
separability problem
signal processing
trigonometric polynomials
Altri autori: WoerdemanHugo J  
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and indexes.
Nota di contenuto: Front matter -- Contents -- Preface -- Chapter 1. Cones of Hermitian matrices and trigonometric polynomials -- Chapter 2. Completions of positive semidefinite operator matrices -- Chapter 3. Multivariable moments and sums of Hermitian squares -- Chapter 4. Contractive analogs -- Chapter 5. Hermitian and related completion problems -- Bibliography -- Subject Index -- Notation Index
Sommario/riassunto: Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly developing area of mathematics and applications and gives complete proofs of many recently solved problems. With MATLAB codes and more than 200 exercises, the book is ideal for a special topics course for graduate or advanced undergraduate students in mathematics or engineering, and will also be a valuable resource for researchers. Often driven by questions from signal processing, control theory, and quantum information, the subject of this book has inspired mathematicians from many subdisciplines, including linear algebra, operator theory, measure theory, and complex function theory. In turn, the applications are being pursued by researchers in areas such as electrical engineering, computer science, and physics. The book is self-contained, has many examples, and for the most part requires only a basic background in undergraduate mathematics, primarily linear algebra and some complex analysis. The book also includes an extensive discussion of the literature, with close to 600 references from books and journals from a wide variety of disciplines.
Titolo autorizzato: Matrix completions, moments, and sums of hermitian squares  Visualizza cluster
ISBN: 1-283-10154-8
9786613101549
1-4008-4059-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910824018303321
Lo trovi qui: Univ. Federico II
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Serie: Princeton series in applied mathematics.