Algebraic Methods for Toeplitz-like Matrices and Operators / K. Rost, G. Heinig.

Format:

Book

Author/Creator:

Heinig, G., Author.

Rost, K., Author.

Series:

Mathematical Research Series

Mathematical Research : Mathematische Forschung ; 19

Language:

German

Subjects (All):

Toeplitz matrices.

Toeplitz operators.

Physical Description:

1 online resource (298 p.)

Edition:

Reprint 2021

Place of Publication:

Berlin ; Boston : De Gruyter, [2022]

Language Note:

In German.

Summary:

Keine ausführliche Beschreibung für "Algebraic Methods for Toeplitz-like Matrices and Operators" verfügbar.

Contents:

Frontmatter

INTRODUCTION

CONTENTS

PART I. TOBELITZ AND HANKED MATRICES

0. Preliminaries

1. Inversion formulae

2. Bezoutians and resultant matrices

3. Recursion formulae and inversion algorithm for strongly regular T- and H-matrices

4. Transformations of OD- and Hnmatrices and Bezoutians

5. Kernel structure

6. T- and H-matrices with non-regular principal sections

7. Generalized inverses of H-matrices

8. Canonical representation

PART II. TOEELITZ-LIKE OPERATORS

0. Fredholm Operators

1. Toeplitz-like operators - first general considerations

2. Inversion formulae for Toeplitz-like matrices

3. Inversion algorithms for Toeplitz-like matrices

4. Inversion of integral operators with displacement kernel and their generalizations

5. Singular integral and Toeplitz operators

6. Kernel structure and partial indices of TLO

REFERENCES

SUBJECT INDEX

NOTATION INDEX

Backmatter

Notes:

Includes bibliographical references and indexes.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)

Description based on publisher supplied metadata and other sources.

ISBN:

3-11-252900-6

OCLC:

1583183439