A modified interval symmetric single step procedure ISS-5D for simultaneous inclusion of polynomial zeros (original) (raw)
Abstract
The aim of this paper is to present a new modified interval symmetric single-step procedure ISS-5D which is the extension from the previous procedure, ISS1. The ISS-5D method will produce successively smaller intervals that are guaranteed to still contain the zeros. The efficiency of this method is measured on the CPU times and the number of iteration. The procedure is run on five test polynomials and the results obtained are shown in this paper.
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.
References (13)
- Aitken, A.C., Proc. Roy. Soc. Edinburg Sec. A, 63, 52-60 (1950).
- Alefeld, G., Herzberger, J., SIAM J. Numer.Anal. 11, 237-243 (1974).
- Alefeld,G.,Herzberger,J., Introduction to Interval Computations, NewYork: Academic Press, 1983.
- Gargantini, I. and Henrici, P.Numer. Math. 18, 305-320 (1972).
- Gargantini, I., SIAM J. Numer. Anal. 15, 497-510(1978) and Number. Math. 18, 305-320 (1972).
- L.W. Ehrlic, Communications of the ACM 10, 107-107 (1967).
- Monsi, M., Malaysian Journal of Mathematical Sciences 5(2), 211-227 (2011).
- Monsi, M. and Wolfe, M.A., Applied Mathematics and Computations 25, 333-346 (1988).
- Nourein, A.W., J.Comput. And Appli. Math. 1, 251-254(1975).
- O. Aberth, Mathematics of Computations 27, 339-344 (1973).
- Petcovic, M.S., Milovanovic, G.V., Journal of Computational and Applied Mathematics 9, 65-69 (1983).
- Petcovic, M.S., Journal of Computational and AppliedMathematics 18, 305-320 (1982).
- R. E. Moore, SIAM Publications, (1979).