• DOI:10.1137/1.9780898719093
• Corpus ID: 118438054

Invariant subspaces of matrices with applications

@inproceedings{Gohbert1986InvariantSO,
  title={Invariant subspaces of matrices with applications},
  author={Israel Gohbert and Peter Lancaster and Leiba Rodman},
  year={1986}
}

• I. Gohbert, P. Lancaster, L. Rodman
• Published 1986
• Mathematics

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.