Quality of the solution sets of parameter-dependent interval linear systems

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 82, Issue 10, 2002, Pages 723-727

  Popova, E ^a  

^a INSTITUTE OF MATHEMATICS AND INFORMATICS   (Bulgaria)

Author keywords

Exact bounds; Interval linear systems; Parameter dependence; Solution set

Indexed keywords

EID: 23044533611     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200210)82:10<723::AID-ZAMM723>3.0.CO;2-A     Document Type: Article

References (7)

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2. ALEFELD, G.; MAYER, G.: The Cholesky method for interval data. LAA 194 (1993), 161-182.
3. ALEFELD, G.; KREINOVICH, V.; MAYER, G.: On the shape of the symmetric, pcrsymmetric, and skew-symmetric solution set. SIAM J. Matrix Anal. Appl. 18 (1997) 3, 693-705.
4. BEECK, H.: Zur scharfen Auenabschätzung der Lösungsmenge bei linearen Intervallgleichungssystemen. ZAMM 54 (1974), T 208-T 209.
5. BEECK, H.: Zur Problematik der Hüllenbestimmung von Intervallgleichungssystemen. In: NICKEL, K. (ed.): Interval mathematics. Springer-Verlag, 1975, pp. 150-159.
6. ROHN, J.: Systems of linear interval equations. Linear Algebra Appl. 126 (1989), 39-78.
7. WOLFRAM, S.: The Mathematica book. 4th ed. Wolfram Media/Cambridge University Press, 1999.