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References
- 1
-
G.S. Ammar, W.B. Gragg and L. Reichel,
Constructing a unitary Hessenberg matrix from spectral data,
in Numerical Linear Algebra,
Digital Signal Processing and Parallel Algorithms,
eds. G.H. Golub and P. Van Dooren, Springer, New York, 1991, pp. 385--396.
- 2
-
Å . Björck and V. Pereyra,
Solution of Vandermonde systems of equations,
Math. Comp. 24:893--903 (1970).
- 3
-
S. Elhay, G.H. Golub and J. Kautsky,
Updating and downdating of orthogonal polynomials with data fitting
applications, SIAM J. Matrix Anal. Appl. 12:327--353 (1991).
- 4
-
G.H. Golub and J.H. Welsch, Calculation of Gauss quadrature rules,
Math. Comp. 23:221--230 (1969).
- 5
-
W.B. Gragg, The QR algorithm for unitary Hessenberg matrices,
J. Comput. Appl. Math. 16:1--8 (1986).
- 6
-
W.B. Gragg and W.J. Harrod, The numerically stable reconstruction of Jacobi
matrices from spectral data, Numer. Math. 44:317--335 (1984).
- 7
-
U. Grenander and G. Szego,
Toeplitz Forms and Their Applications,
Chelsea, New York, 1984.
- 8
-
L. Reichel, Fast QR decomposition of Vandermonde-like matrices and polynomial
least squares approximation, SIAM J. Matrix Anal. Appl. 12:552--564
(1991).
- 9
-
L. Reichel, Construction of polynomials that are orthogonal with respect to a
discrete bilinear form, Report ICM-9112-22, Institute for Computational
Mathematics, Kent State University, Kent, OH, 1991.
- 10
-
L. Reichel, G.S. Ammar and W.B. Gragg,
Discrete least squares approximation by trigonometric polynomials,
Math. Comp. 57:273-289 (1991).
- 11
-
L.B. Scott and L.R. Scott, Efficient methods for data smoothing,
SIAM J. Numer. Anal. 26:681--692 (1989).
Greg Ammar
Tue Feb 14 12:51:53 CST 1995