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On a class of higher order methods for simultaneous rootfinding of generalized polynomials (1993)

Carstensen, Carsten ; Reinders, Martin

Springer

Numerische Mathematik 64 (1993), S. 69-84

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ISSN: 0945-3245

Keywords: 65H05 ; 65H10

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary Using the argument principle higher order methods for simultaneous computation of all zeros of generalized polynomials (like algebraic, trigonometric and exponential polynomials or exponential sums) are derived. The methods can also be derived following the continuation principle from [3]. Thereby, the unified approach of [7] is enlarged to arbitrary orderN. The local convergence as well as a-priori and a-posteriori error estimates for these methods are treated on a general level. Numerical examples are included.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01388681

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