Algebraic Methods for Toeplitz-like Matrices and Operators

G. Heinig; K. Rost

Published by De Gruyter 1984

Algebraic Methods for Toeplitz-like Matrices and Operators

G. Heinig and K. Rost

Volume 19 in the series Mathematical Research

https://doi.org/10.1515/9783112529003

Contents

Frontmatter Publicly Available Download PDF	I
INTRODUCTION Requires Authentication Unlicensed Licensed Download PDF	5
CONTENTS Publicly Available Download PDF	7
PART I. TOBELITZ AND HANKED MATRICES
0. Preliminaries Requires Authentication Unlicensed Licensed Download PDF	9
1. Inversion formulae Requires Authentication Unlicensed Licensed Download PDF	14
2. Bezoutians and resultant matrices Requires Authentication Unlicensed Licensed Download PDF	33
3. Recursion formulae and inversion algorithm for strongly regular T- and H-matrices Requires Authentication Unlicensed Licensed Download PDF	55
4. Transformations of OD- and Hnmatrices and Bezoutians Requires Authentication Unlicensed Licensed Download PDF	70
5. Kernel structure Requires Authentication Unlicensed Licensed Download PDF	79
6. T- and H-matrices with non-regular principal sections Requires Authentication Unlicensed Licensed Download PDF	102
7. Generalized inverses of H-matrices Requires Authentication Unlicensed Licensed Download PDF	112
8. Canonical representation Requires Authentication Unlicensed Licensed Download PDF	121
PART II. TOEELITZ-LIKE OPERATORS
0. Fredholm Operators Requires Authentication Unlicensed Licensed Download PDF	136
1. Toeplitz-like operators - first general considerations Requires Authentication Unlicensed Licensed Download PDF	137
2. Inversion formulae for Toeplitz-like matrices Requires Authentication Unlicensed Licensed Download PDF	145
3. Inversion algorithms for Toeplitz-like matrices Requires Authentication Unlicensed Licensed Download PDF	161
4. Inversion of integral operators with displacement kernel and their generalizations Requires Authentication Unlicensed Licensed Download PDF	168
5. Singular integral and Toeplitz operators Requires Authentication Unlicensed Licensed Download PDF	181
6. Kernel structure and partial indices of TLO Requires Authentication Unlicensed Licensed Download PDF	186
REFERENCES Requires Authentication Unlicensed Licensed Download PDF	204
SUBJECT INDEX Requires Authentication Unlicensed Licensed Download PDF	211
NOTATION INDEX Requires Authentication Unlicensed Licensed Download PDF	212
Backmatter Requires Authentication Unlicensed Licensed Download PDF	213

Languages: German, English
Publisher: De Gruyter
Original publisher: Akademie-Verlag Berlin
Edition: Reprint 2021
Audience: College/higher education;
Pages
- Main content: 298

eBook

Published: January 19, 2022
ISBN: 9783112529003

Hardcover

Published: January 14, 1985
ISBN: 9783112528990