The restarted QR-algorithm for eigenvalue computation of structured matrices

Journal of Computational and Applied Mathematics

Volumn 149, Issue 2, 2002, Pages 415-422

  Calvetti, Daniela ^a   Kim, Sun Mi ^b   Reichel, Lothar ^b  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b KENT STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL METHODS;

AIRTHMETIC FLOATING POINT OPERATIONS;

MATRIX ALGEBRA;

EIGENVALUE;

EID: 0037114693     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00486-7     Document Type: Article

References (15)

1. Polynomial zerofinders based on Szegö polynomials
2. Continuation methods for the computation of zeros of Szegö polynomials
3. Algorithm 730: An implementation of a divide and conquer algorithm for the unitary eigenproblem
4. On a class of Gauss-like quadrature rules
5. Notes on TQR algorithms
6. Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
7. The QR algorithm for unitary Hessenberg matrices
8. Stabilization of the UHQR algorithm
9. A divide and conquer method for the unitary eigenproblem
10. A divide and conquer method for the unitary and orthogonal eigenproblems
11. Linear estimation for stationary and near-stationary processes
12. Convergence of the shifted QR algorithm for unitary Hessenberg matrices