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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
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.​

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