Outer solution of linear systems whose elements are affine functions of interval parameters

Reliable Computing

Volumn 8, Issue 6, 2002, Pages 493-501

  Kolev, Lubomir V ^a  

^a TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; MATRIX ALGEBRA; SET THEORY; VECTORS;

AFFINE FUNCTIONS;

LINEAR EQUATIONS;

EID: 0036894140     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021320711392     Document Type: Article

References (10)

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3. Hansen, E.: The Hull of Preconditioned Interval Linear Equations, Reliable Computing 6 (2) (2000), pp. 95-103.
4. Jansson, C.: Interval Linear Systems with Symmetric Matrices, Skew-Symmetric Matrices and Dependencies in the Right-Hand Side, Computing 46 (1991), pp. 265-274.
5. Kolev, L.: Interval Methods for Circuit Analysis, World Scientific Ltd., Singapore, 1993.
6. Kolev, L. and Nenov I.: Cheap and Tight Bounds on the Solution Set of Perturbed Systems, Reliable Computing 7 (5) (2001), pp. 399-408.
7. Neumaier, A.: Interval Methods for Systems of Equations, Cambridge University Press, London, 1990.
8. Ning, S. and Kearfott, R.: A Comparison of Some Methods for Solving Linear Interval Equations, SIAM J. Numer. Anal. 34 (1) (1997), pp. 1289-1305.
9. Rohn, J.: Cheap and Tight Bounds: The Recent Result by E. Hansen Can Be Made More Efficient, Interval Computations 4 (1993), pp. 13-21.
10. Rohn, J.: Linear Interval Equations with Dependent Coefficients, oral communication at the Int. Conf. on Interval Methods for Numerical Computation, Oberwolfach, Germany, 1990.