References

1

G.S. Ammar, W.B. Gragg and L. Reichel, On the eigenproblem for orthogonal matrices. In: Proceedings of the 25th Conference on Decision and Control, IEEE, New York, pp 1063--1066, 1986.

2

G.S. Ammar, W.B. Gragg and L. Reichel, Determination of Pisarenko frequency estimates as eigenvalues of an orthogonal matrix. In: F.T. Luk (Ed.), Advanced Algorithms and Architectures for Signal Processing II, Proc. SPIE 826, pp 143--145, 1987.

3

G.S. Ammar, W.B. Gragg and L. Reichel, Constructing a unitary Hessenberg matrix from spectral data. In: G.H. Golub and P. Van Dooren (Eds.), Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, Springer, New York, pp 385--396, 1991.

4

G.S. Ammar, W.B. Gragg and L. Reichel, Downdating of Szego polynomials and data fitting applications. Lin. Alg. Appl. 172, pp 315--336, 1992.

5

G.S. Ammar, L. Reichel, and D.C. Sorensen, An implementation of a divide and conquer algorithm for the unitary eigenproblem. ACM Trans. Math. Software, to appear.

6

A. Bunse-Gerstner and L. Elsner, Schur parameter pencils for the solution of the unitary eigenproblem. Lin. Alg. Appl. 154--156, pp 741--778, 1991.

7

A. Bunse-Gerstner and C. He, A Sturm sequence of polynomials for unitary Hessenberg matrices, preprint.

8

W.B. Gragg, Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle (in Russian). In: E.S. Nikolaev (Ed.), Numerical Methods in Linear Algebra, Moscow University Press, Moscow, pp 16-32, 1982.

9

W.B. Gragg, The QR algorithm for unitary Hessenberg matrices. J. Comput. Appl. Math. 16, pp 1--8, 1986.

10

W.B. Gragg and L. Reichel, A divide and conquer method for unitary and orthogonal eigenproblems. Numer. Math. 57, pp 695--718, 1990.

11

L. Reichel and G.S. Ammar, Fast approximation of dominant harmonics by solving an orthogonal eigenvalue problem. In: J. McWhirter et al. (Eds.), Proc. Second IMA Conference on Mathematics in Signal Processing, Oxford University Press, pp 575--591, 1990.

12

L. Reichel, G.S. Ammar and W.B. Gragg, Discrete least squares approximation by trigonometric polynomials. Math. Comp. 57, pp 273-289, 1991.

13

T.-L. Wang, Convergence of the QR Algorithm with Origin Shifts for Real Symmetric Tridiagonal and Unitary Hessenberg Matrices. Ph.D. Dissertation, Dept. of Mathematics, University of Kentucky, Lexington, KY, 1988.