Separable Type Representations of Matrices and Fast Algorithms, Volume 2, Eigenvalue Method

Yuli Eidelman, Israel Gohberg and Iulian Haimovici

Publisher:

Birkhäuser

Publication Date:

2013

Number of Pages:

359

Format:

Hardcover

Series:

Operator Theory Advances and Applications 235

Price:

129.00

ISBN:

9783034806114

Category:

Monograph

MAA Review
Table of Contents

We do not plan to review this book.

Part 5. The eigenvalue structure of order one quasiseparable matrices.- 21. Quasiseparable of order one matrices. Characteristic polynomials.- 22. Eigenvalues with geometric multiplicity one.- 23. Kernels of quasiseparable of order one matrices.- 24. Multiple eigenvalues.- Part 6. Divide and conquer method for eigenproblems.- 25. Divide step.- 26. Conquer step and rational matrix functions eigenproblem.- 27. Complete algorithm for Hermitian matrices.- 28. Complete algorithm for unitary Hessenberg matrices.- Part 7. Algorithms for qr iterations and for reduction to Hessenberg form.- 29. The QR iteration method for eigenvalues.- 30. The reduction to Hessenberg form.- 31. The implicit QR iteration method for eigenvalues of upper Hessenberg matrices.- Part 8. QR iterations for companion matrices.- 32. Companion and unitary matrices.- 33. Explicit methods.- 34. Implicit methods with compression.- 35. The factorization based implicit method.- 36. Implicit algorithms based on the QR representation.- Bibliography.

Tags:

Algorithms