Solution set characterization of linear interval systems with a specific dependence structure

Reliable Computing

Volumn 13, Issue 4, 2007, Pages 361-374

  Hladík, Milan ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; LINEAR EQUATIONS; LINEAR SYSTEMS; THEOREM PROVING;

DEPENDENCE STRUCTURE; DERIVE EXTENSIONS; OETTLI-PRAGER THEOREM; SOLVABILITY; SUBMATRICES;

SET THEORY;

EID: 34347267304     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-007-9033-x     Document Type: Article

References (10)

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2. Comput. Suppl. 16 (2003), pp. 1-22.
3. Alefeld, G., Kreinovich, V., and Mayer, G.: The Shape of the Solution Set for Systems of Interval Linear Equations with Dependent Coefficients, Math. Nachr. 192 (1998), pp. 23-36.
4. Fiedler, M., Nedoma, J., Ramik, J., Rohn, J., and Zimmermann, K.: Linear Optimization Problems with Inexact Data, Springer-Verlag, New York, 2006.
5. Gerlach, W.: Zur Lösung linearer Ungleichungssysteme bei Störung der rechten Seite und der Koeffizientenmatrix, Math. Operationsforsch. Stat., Ser. Optimization 12 (1981), pp. 41-43.
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9. Oettli, W. and Prager, W. : Compatibility of Approximate Solution of Linear Equations with Given Error Bounds for Coefficients and Right-Hand Sides, Numer. Math. 6 (1964), pp. 405-09.
10. Popova, E.: On the Solution of Parameterised Linear Systems, in: Kraemer, W. and Wolff von Gudenberg, J. (eds), Scientific Computing, Validated Numerics, Interval Methods, Kluwer Academic Publishers, Boston, 2001, pp. 127-138.