Titlebook: Inclusion Methods for Nonlinear Problems; With Applications in Jürgen Herzberger Conference proceedings 2003 Springer-Verlag/Wien 2003 algo

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,Schröder-like Methods for the Simultaneous Inclusion of Polynomial Zeros,omplex arithmetic. These methods are based on the fundamental work of Gargantini and Henrici [7] and belong to the class of the most efficient inclusion methods. Apart from a review of the existing methods of Schröder’s type, together with their convergence properties, a new, accelerated method in s

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,Interval Root-finding Methods of Laguerre’s Type*,ed in complex circular arithmetic and have the convergence order > 4. The proposed algorithms possess a great computational efficiency since the acceleration of the convergence is attained with few additional calculations. High convergence speed is demonstrated on numerical examples.

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978-3-211-83852-5Springer-Verlag/Wien 2003

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Inclusion Methods for Nonlinear Problems978-3-7091-6033-6Series ISSN 0344-8029

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https://doi.org/10.1007/978-3-7091-6033-6algorithm; algorithms; applied mathematics; computer applications; numerical mathematics; operator; scient

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Quadratic Convergence of Scaled Iterates by Kogbetliantz Method,trices so that diagonal elements are ones. The result is obtained for a scaled diagonally dominant complex triangular matrix with multiple singular values. The estimate depends on the relative separation of the singular values.