Israel Gohberg,
Peter Lancaster,
Leiba Rodman
Indefinite Linear Algebra and Applications
Paperback Engels 2005 2005e druk 9783764373498Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This book covers recent results in linear algebra with indefinite inner product. It includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications are based on linear algebra in spaces with indefinite inner product. The latter forms an independent branch of linear algebra called indefinite linear algebra. This new subject is presented following the principles of a standard linear algebra course.
Specificaties
ISBN13:9783764373498
Taal:Engels
Bindwijze:paperback
Aantal pagina's:357
Uitgever:Birkhäuser Basel
Druk:2005
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Inhoudsopgave
Preface.- 1. Introduction and Outline.- 2. Indefinite Inner Products.- 3. Orthogonalization and Orthogonal Polynomials.- 4. Classes of Linear Transformations.- 5. Canonical Forms.- 6. Real H-Selfadjoint Matrices.- 7. Functions of H-Selfadjoint Matrices.- 8. H-Normal Matrices.- 9. General Perturbations. Stability of Diagonalizable Matrices.- 10. Definite Invariant Subspaces.- 11. Differential Equations of First Order.- 12. Matrix Polynomials.- 13. Differential and Difference Equations of Higher Order.- 14. Algebraic Riccati Equations.- Appendix: Topics from Linear Algebra.- Bibliography.- Index
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