A new approach to obtain algebraic solution of interval linear systems
type: Item
instance of: scholarly article
title: A new approach to obtain algebraic solution of interval linear systems
zbMATH Open document ID: 1264.65034
author: M. Ghanbari
author: Tofigh Allahviranloo
published in: Soft Computing
publication date: 2013-01-25T00:00:00Z
review text: This paper deals with the algebraic solution of an interval linear system involving a real square matrix and an interval right-hand side vector. A new method to solve such a system is introduced based on a new concept called ``inclusion linear system''. This method is simple and practical. It seems that this method can be extended to solve fuzzy linear systems.
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 6130815
zbMATH Keywords: interval linear system
zbMATH Keywords: inclusion linear system
zbMATH Keywords: uniqueness
zbMATH Keywords: fuzzy linear system
reviewed by: Liu Xinguo
describes a project that uses: INTOPT_90
MaRDI profile type: Publication
full work available at URL: s00500-011-0739-7
OpenAlex ID: W2083281976
cites work: Q3345690
cites work: The Cholesky method for interval data
cites work: On the Symmetric and Unsymmetric Solution Set of Interval Systems
cites work: Interval analysis: Theory and applications
cites work: Rigorous global search: continuous problems
cites work: Solving interval linear systems with linear programming techniques
cites work: Bounds on Solutions of Linear Systems with Inaccurate Data
cites work: A priori estimates for the zeros of interval polynomials
cites work: On the computation of solutions of systems of interval polynomial equations
cites work: Linear Optimization Problems with Inexact Data
cites work: Fuzzy linear systems
cites work: Interval Gaussian Elimination with Pivot Tightening
cites work: Q4874512
cites work: Q4851401
cites work: An iterative method for algebraic solution to interval equations
cites work: A contribution to the feasibility of the interval Gaussian algorithm
cites work: On regular and singular interval systems
cites work: Interval Methods for Systems of Equations
cites work: Bounding the zeros of an interval equation
cites work: On the Solution Set of a Linear System with Inaccurate Coefficients
cites work: Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
cites work: Interval solutions for interval algebraic equations
cites work: Checking solvability of systems of interval linear equations and inequalities via mixed integer programming
cites work: A new method for solving interval and fuzzy equations: linear case
cites work: Algebraic approach in the ``outer problem'' for interval linear equations
DOI: 10.1007/S00500-011-0739-7
description: scientific article; zbMATH DE number 6130815