<p>A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equa tions which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equa tions. This set of notes was initiated as a ch
Minimal Factorization of Matrix and Operator Functions
✍ Scribed by H. Bart, I. Gohberg, M. A. Kaashoek (auth.)
- Publisher
- Birkhäuser Basel
- Year
- 1979
- Tongue
- German
- Leaves
- 234
- Series
- Operator Theory: Advances and Applications 1
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
✦ Table of Contents
Front Matter....Pages N2-V
Introduction....Pages 1-4
Divisibility of Transfer Functions....Pages 5-43
Realization and Linearization....Pages 44-61
Minimal Nodes....Pages 62-76
Minimal Factorizations of Rational Matrix Functions....Pages 77-109
Divisibility and Riccati Equation....Pages 110-120
Application to Transport Equation....Pages 121-141
Stability of Spectral Divisors....Pages 142-168
Stability of Divisors....Pages 169-190
Factorization of Real Matrix Functions....Pages 191-215
Back Matter....Pages 217-227
✦ Subjects
Science, general
📜 SIMILAR VOLUMES
<p>Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions
The present book deals with factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of co