A symmetric iterative interval method for systems of nonlinear equations
type: Item
instance of: scholarly article
title: A symmetric iterative interval method for systems of nonlinear equations
zbMATH Open document ID: 0546.65032
DOI: 10.1007/BF02240186
published in: Computing
publication date: 1984-01-01T00:00:00Z
review text: An iterative methods for nonlinear systems of equations is presented that is based on the idea of symmetric methods known from linear systems. Due to the use of interval arithmetic the convergence to a solution can be proved under relatively weak conditions provided an initial inclusion of that solution is known. The concept of symmetry leads to a reduction of computation time compared to some well-known methods.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 3870496
zbMATH Keywords: symmetric methods
zbMATH Keywords: interval arithmetic
zbMATH Keywords: iterative methods
zbMATH Keywords: convergence
zbMATH Keywords: initial inclusion
author: Hartmut Schwandt
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02240186
OpenAlex ID: W24393008
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description: scientific article; zbMATH DE number 3870496