Title
New Operator and Method for Solving Real Preconditioned Interval Linear Equations.
Abstract
We deal with real preconditioned interval linear systems of equations. We present a new operator, which generalizes the interval Gauss-Seidel operator. Also, based on the new operator and properties of well-known methods, we propose a new algorithm, called the magnitude method. We illustrate by numerical examples that our approach outperforms some classical methods with respect to both time and sharpness of enclosures.
Year
DOI
Venue
2014
10.1137/130914358
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
linear interval systems,solution set,interval matrix
Linear equation,Magnitude (mathematics),Mathematical optimization,Semi-elliptic operator,Linear system,Multiplication operator,Mathematical analysis,Operator (physics),Solution set,Operator (computer programming),Mathematics
Journal
Volume
Issue
ISSN
52
1
0036-1429
Citations 
PageRank 
References 
6
0.55
0
Authors
1
Name
Order
Citations
PageRank
Milan Hladík126836.33