Factorization of Matrix and Operator Functions: The State Space Method

1. Introduction
Part I.Motivating Problems, Systems and Realizations

2. Motivating Problems
3. Operator Nodes, Systems, and Operations on Systems
4. Various Classes of Systems
5. Realization and Linearization of Operator Functions
6. Factorization and Riccati Equations
7. Canonical Factorization and Applications
Part II.Minimal Realization and Minimal Factorization

8. Minimal Systems
9. Minimal Realizations and Pole-Zero Structure
10. Minimal Factorization of Rational Matrix Functions
Part III.Degree One Factors, Companion Based Rational Matrix Functions, and Job Scheduling

11. Factorization into Degree One Factors
12. Complete Factorization of Companion Based Matrix Functions
13. Quasicomplete Factorization and Job Scheduling
Part IV.Stability of Factorization and of Invariant Subspaces

14. Stability of Spectral Divisors
15. Stability of Divisors
16. Factorization of Real Matrix Functions

DRM-restrictions

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Keywords: MATHEMATICS / General MAT000000