Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part I Lectures on Basics with Examples
- Part II Further Contributions to Matrix Theory
- 12 LU (Spectral) Factorization
- 13 Matrix Schur Interpolation
- 14 The Scattering Picture
- 15 Constrained Interpolation
- 16 Constrained Model Reduction
- 17 Isometric Embedding for Causal Contractions
- Appendix: Data Model and Implementations
- References
- Index
14 - The Scattering Picture
from Part II - Further Contributions to Matrix Theory
Published online by Cambridge University Press: 24 October 2024
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part I Lectures on Basics with Examples
- Part II Further Contributions to Matrix Theory
- 12 LU (Spectral) Factorization
- 13 Matrix Schur Interpolation
- 14 The Scattering Picture
- 15 Constrained Interpolation
- 16 Constrained Model Reduction
- 17 Isometric Embedding for Causal Contractions
- Appendix: Data Model and Implementations
- References
- Index
Summary
This chapter introduces and develops the scattering formalism, whose usefulness for interpolation has been demonstrated in Chapter 13, for the case of systems described by state-space realizations. This is in preparation for the next three chapters that use it to solve various further interpolation and embedding problems.
Keywords
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- Chapter
- Information
- Time-Variant and Quasi-separable SystemsMatrix Theory, Recursions and Computations, pp. 223 - 241Publisher: Cambridge University PressPrint publication year: 2024