Invariant Subspaces of Matrices with Applications
£97.00
Part of Classics in Applied Mathematics
- Authors:
- Israel Gohberg, Tel-Aviv University
- Peter Lancaster, University of Calgary
- Leiba Rodman, College of William and Mary, Virginia
- Date Published: March 2006
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9780898716085
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This unique book addresses advanced linear algebra from a perspective in which invariant subspaces are the central notion and main tool. It contains comprehensive coverage of geometrical, algebraic, topological, and analytic properties of invariant subspaces. The text lays clear mathematical foundations for linear systems theory and contains a thorough treatment of analytic perturbation theory for matrix functions.
Read more- Appropriate for students, instructors and researchers in applied linear algebra, linear systems theory, and signal processing
- Readers who have had undergraduate-level courses in linear theory and complex function theory will find this text readily accessible
- The mathematical foundations for linear systems theory are clearly presented, as well as a thorough treatment of analytic perturbation theory for matrix functions
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×Product details
- Date Published: March 2006
- format: Paperback
- isbn: 9780898716085
- length: 184 pages
- dimensions: 228 x 152 x 27 mm
- weight: 0.776kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
Preface to the classics edition
Preface to the first edition
Introduction
Part I. Fundamental Properties of Invariant Subspaces and Applications:
1. Invariant subspaces
2. Jordan form and invariant subspaces
3. Coinvariant and semiinvariant subspaces
4. Jordan form for extensions and completions
5. Applications to matrix polynomials
6. Invariant subspaces for transformations between different spaces
7. Rational matrix functions
8. Linear systems
Part II. Algebraic Properties of Invariant Subspaces:
9. Commuting matrices and hyperinvariant subspaces
10. Description of invariant subspaces and linear transformation with the same invariant subspaces
11. Algebras of matrices and invariant subspaces
12. Real linear transformations
Part III. Topological Properties of Invariant Subspaces and Stability:
13. The metric space of subspaces
14. The metric space of invariant subspaces
15. Continuity and stability of invariant subspaces
16. Perturbations of lattices of invariant subspaces with restrictions on the Jordan structure
17. Applications
Part IV. Analytic Properties of Invariant Subspaces:
18. Analytic families of subspaces
19. Jordan form of analytic matrix functions
20. Applications
Appendix
References
Author index
Subject index.
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