Matrix completions, moments, and sums of hermitian squares [electronic resource]

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자료유형	단행본
서명/저자사항	Matrix completions, moments, and sums of hermitian squares [electronic resource] / Miha?ly Bakonyi and Hugo J. Woerdeman.
개인저자	Bakonyi, M. (Miha?ly), 1962-. Woerdeman, Hugo J. (Hugo Jan), 1962-.
발행사항	Princeton: Princeton University Press, c2011.
형태사항	1 online resource (xii, 518 p.) : ill.
총서사항	Princeton series in applied mathematics
기타형태 저록	Print version: Bakonyi, M. (Mihaly), 1962- Matrix Completions, moments, and sums of Hermitian squares. Princeton, N.J. ; Oxford : Princeton UP, c2011 9780691128894 0691128898
ISBN	9781400840595 (electronic bk.) 1400840597 (electronic bk.)
서지주기	Includes bibliographical references (p. [475]-512) and indexes.
내용주기	Cover -- 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.
요약	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.
일반주제명	Algebras, Linear. Hermitian forms. Matrices. MATHEMATICS --Matrices.
분류기호(DDC)	512.9434
언어	영어
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