next up previous
Next: About this document ... Up: Accuracy Analysis of Hybrid Previous: Summary

Bibliography

1
D. Braess, Nonlinear Approximation Theory, Springer-Verlag, 1986.

2
J.-P. Berrut and H. D. Mittelmann, Lebesgue Constant Minimizing Linear Rational Interpolation of Continuous Functions over the Interval, Computers Math. Applic., 33, 77-86, 1997.

3
M. T. Noda and E. Miyahiro, A Hybrid Approach for the Integration of a Rational Function, J. Comput. Appl. Math., 40, 256-268, 1992.

4
M. T. Noda, E. Miyahiro and H. Kai, Hybrid rational function approximation and its use in the hybrid integration, in Advances in Computer Methods for Partial Differential Equations VII, IMACS, 565-571, 1992.

5
N. Karmarkar and Y. N. Lakshman, Approximate Polynomial Greatest Common Divisors and Nearest Singular Polynomials, ISSAC, 35-39, 1996.

6
R. M. Corless, P. M. Gianni, B. M. Trager and S. M. Watt, The Singular Value Decomposition for polynomial systems, ISSAC, 195-207, 1995.

7
A. Schönhage, Quasi-GCD Computations, J. Complexity, 1, 118-137, 1985.

8
V. Hribernig and H. J. Stetter, Detection and Validation of Clusters of Polynomial Zeros, J. Symb. Comp., 24, 667-681, 1997.

9
V. Y. Pan, Numerical Computation of A Polynomial GCD and Extensions, preprint(submitted to SIAM Review), 1996.

10
T. W. Sederberg and G-Z Chang, Best Linear Common Divisors for Approximate Degree Reduction, Computer-aided design, 25, 163-168, 1993.

11
T. Sasaki and M. T. Noda, Approximate square-free decomposition and root-finding of ill-conditioned algebraic equations, J. Inf. Proc., 12, 159-168, 1989.


IMACS ACA'98 Electronic Proceedings