Title
A Sign Function Approach to Solve Algebraically Interval System of Linear Equations for Nonnegative Solutions.
Abstract
This paper deals with solving interval system of linear equations. The problem is to find a nonnegative algebraic solution. Based on sign function approach and using interval center and radius arithmetic operations, we propose an algorithm for computation of an algebraic interval solution vector. We also discuss fundamental properties of this solution vector, such as existence and uniqueness. Further, the nonnegative solution algorithm has been extended to other sign-restricted approach. Numerical examples of interval system of linear equations show efficiency of the algorithms presented.
Year
DOI
Venue
2017
10.3233/FI-2017-1510
FUNDAMENTA INFORMATICAE
Keywords
Field
DocType
Interval matrix,Interval analysis,Linear system of equations,Linear interval systems,Nonnegative solution
Discrete mathematics,Interval matrix,System of linear equations,Sign function,Interval arithmetic,Mathematics
Journal
Volume
Issue
ISSN
152
1
0169-2968
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Snehashish Chakraverty1347.60
Milan Hladík226836.33
Nisha Rani Mahato300.34