Hugo Jan Woerdeman's Books

Abstract Band Method via Factorization, Positive and Band Extensions of Multivariable Almost Periodic Matrix Functions, and Spectral Estimation

By: L. Rodman,Ilya M. Spitkovskiĭ,Hugo Jan Woerdeman

Write a review Read reviews Take a Quiz Solve Book Puzzle

Abstract Band Method via Factorization, Positive and Band Extensions of Multivariable Almost Periodic Matrix Functions, and Spectral Estimation

By: L. Rodman,Ilya M. Spitkovskiĭ,Hugo Jan Woerdeman

In this work, versions of an abstract scheme are developed, which are designed to provide a framework for solving a variety of extension problems. The abstract scheme is commonly known as the band method. The main feature of the new versions is that they express directly the conditions for existence of positive band extensions in terms of abstract factorizations (with certain additional properties). The results prove, amongst other things, that the band extension is continuous in an appropriate sense.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829963

ISBN 13

9780821829967

Model Theory and Linear Extreme Points in the Numerical Radius Unit Ball

By: Michael A. Dritschel,Hugo Jan Woerdeman

Write a review Read reviews Take a Quiz Solve Book Puzzle

Model Theory and Linear Extreme Points in the Numerical Radius Unit Ball

By: Michael A. Dritschel,Hugo Jan Woerdeman

This memoir initiates a model theory-based study of the numerical radius norm. Guided by the abstract model theory of Jim Agler, the authors propose a decomposition for operators that is particularly useful in understanding their properties with respect to the numerical radius norm. Of the topics amenable to investigation with these tools, the following are presented: a complete description of the linear extreme points of the non-matrix (numerical radius) unit ball; several equivalent characterizations of matricial extremals in the unit ball, that is, those members which do not allow a nontrivial extension remaining in the unit ball; and applications to numerical ranges of matrices, including a complete parameterization of all matrices whose numerical ranges are closed disks.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821806513

ISBN 13

9780821806517

Matrix Completions, Moments, and Sums of Hermitian Squares

By: Mihály Bakonyi,Hugo J. Woerdeman

Write a review Read reviews Take a Quiz Solve Book Puzzle

Matrix Completions, Moments, and Sums of Hermitian Squares

By: Mihály Bakonyi,Hugo J. Woerdeman

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

533

Publisher

Princeton University Press

Published Date

ISBN 10

1400840597

ISBN 13

9781400840595

Book's by Hugo Jan Woerdeman

Abstract Band Method via Factorization, Positive and Band Extensions of Multivariable Almost Periodic Matrix Functions, and Spectral Estimation

Abstract Band Method via Factorization, Positive and Band Extensions of Multivariable Almost Periodic Matrix Functions, and Spectral Estimation

Model Theory and Linear Extreme Points in the Numerical Radius Unit Ball

Model Theory and Linear Extreme Points in the Numerical Radius Unit Ball

Matrix Completions, Moments, and Sums of Hermitian Squares

Matrix Completions, Moments, and Sums of Hermitian Squares

Username

Password

Username

Password

Password again

Birthday

Email