Formal solution to systems of interval linear or non-linear equations
type: Item
instance of: scholarly article
title: Formal solution to systems of interval linear or non-linear equations
zbMATH Open document ID: 1007.65018
DOI: 10.1023/A:1015561212728
author: Ernest Gardeñes
author: Lambert Jorba
author: Miguel Á. Sainz
published in: Reliable Computing
publication date: 2002-08-21T00:00:00Z
review text: The authors study a class of linear and nonlinear equations with interval coefficients in the setting of modal interval arithmetic. The latter provides a semantic relation between the formal algebraic solutions in the setting of Kaucher's generalized interval arithmetic and the solutions of corresponding real-valued systems with coefficients belonging to given intervals. Properties of the Jacobi interval operator are discussed. An iterative algorithm using this operator is formulated and studied with respect to convergence and numerical examples are presented.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 1785580
zbMATH Keywords: linear equations
zbMATH Keywords: systems
zbMATH Keywords: nonlinear equations
zbMATH Keywords: modal interval arithmetic
zbMATH Keywords: Kaucher's generalized interval arithmetic
zbMATH Keywords: iterative arithmetic
zbMATH Keywords: iterative algorithm
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
reviewed by: Svetoslav Markov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1785580