Separable Type Representations of Matrices and Fast Algorithms

Part V. The Eigenvalue Structure of Order One Quasiseparable Matrices

1. Quasiseparable of Order One Matrices.Characteristic Polynomials
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

2. Eigenvalues with Geometric Multiplicity One
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

3. Kernels of Quasiseparable of Order One Matrices
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

4. Multiple Eigenvalues
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

Part VI. Divide and Conquer Method for the Eigenproblem

5. Divide Step
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

6. Conquer Step and Eigenproblem for Rational Matrix Functions
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

7. Complete Algorithm for Hermitian Matrices
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

8. Complete Algorithm for Unitary Hessenberg Matrices
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

Part VII. Algorithms for QR Iterations and for Reduction to Hessenberg Form

9. The QR Iteration Method for Eigenvalues
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

10. The Reduction to Hessenberg Form
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

11. The Implicit QR Iteration Method for Eigenvalues of Upper Hessenberg Matrices
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

Part VIII. QR Iterations for Companion Matrices

12. Companion and Unitary Matrices
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

13. Explicit Methods
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

14. Implicit Methods with Compression
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

15. The Factorization Based Implicit Method
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

16. Implicit Algorithms Based on the QR Representation
Yuli Eidelman, Israel Gohberg, Iulian Haimovici

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