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Optimal Inequality Factor for Ehrlich-Aberth's Method

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2 Author(s)
Cira, O. ; Fac. of Exact Sci., Aurel Vlaicu Univ., Arad, Romania ; Maruster, S.

The convergence condition for the simultaneous inclusion methods is w(0) <; cnd(0), where w(0) is the maximum Weierstrass factor Wk(0), k ∈In, and d(0) is the minimum distance between z1(0), z2(0), ...zn(0), the distinct approximations of the simple roots of the polynomial ζ1, ζ2, ...ζn. The i-factor (inequality-factor) is the positive function cn = c(a,b, n) = 1/an+b. The article presents the optimum i- factor for the simultaneous inclusion Ehrlich-Aberth's method.

Published in:

Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2011 13th International Symposium on

Date of Conference:

26-29 Sept. 2011