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NEW OPERATOR AND METHOD FOR SOLVING REAL PRECONDITIONED INTERVAL LINEAR EQUATIONS

Publication at Faculty of Mathematics and Physics |
2014

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.