Generalized Locally Toeplitz Sequences: Theory and Applications

1. Introduction
Carlo Garoni, Stefano Serra-Capizzano

2. Mathematical Background
Carlo Garoni, Stefano Serra-Capizzano

3. Singular Value and Eigenvalue Distribution of a Matrix-Sequence
Carlo Garoni, Stefano Serra-Capizzano

4. Spectral Distribution of Sequences of Perturbed Hermitian Matrices
Carlo Garoni, Stefano Serra-Capizzano

5. Approximating Classes of Sequences
Carlo Garoni, Stefano Serra-Capizzano

6. Toeplitz Sequences
Carlo Garoni, Stefano Serra-Capizzano

7. Locally Toeplitz Sequences
Carlo Garoni, Stefano Serra-Capizzano

8. Generalized Locally Toeplitz Sequences
Carlo Garoni, Stefano Serra-Capizzano

9. Summary of the Theory
Carlo Garoni, Stefano Serra-Capizzano

10. Applications
Carlo Garoni, Stefano Serra-Capizzano

11. Future Developments
Carlo Garoni, Stefano Serra-Capizzano

12. Solutions to the Exercises
Carlo Garoni, Stefano Serra-Capizzano

Keywords: Mathematics, Numerical Analysis, Linear and Multilinear Algebras, Matrix Theory, Partial Differential Equations