This book presents a version of the modern theory of Toeplitz, Hankel and other classes of structured matrices. These classes play an important role in many problems of pure and applied character. Fast algorithms of inversion, rank and signature and root localization, connections with Bezutian and r
Algebraic Methods for Toeplitz-like Matrices and Operators
β Scribed by Doz. Dr. sc. Georg Heinig, Dr. rer. nat. Karla Rost (auth.)
- Publisher
- BirkhΓ€user Basel
- Year
- 1984
- Tongue
- English
- Leaves
- 213
- Series
- Operator Theory: Advances and Applications 13
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages 1-8
Toeplitz and Hankel Matrices....Pages 9-135
Toeplitz-Like Operators....Pages 136-203
Back Matter....Pages 204-212
β¦ Subjects
Science, general
π SIMILAR VOLUMES
The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others.
Why Toeplitz-Hankel? Motivations and panorama -- Hankel and Toeplitz--brother pperators on the Space H2 -- H2 theory of Toeplitz operators -- Applications : Riemann-Hilbert, Wiener-Hopf, and SIO -- Toeplitz matrices : moments, spectra, asymptotics.
<p></p><p>This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes ofΒ operators, including a range of applications.</p> <p>Most of the papers included were presented at the International Workshop on Operator Alge