Interval Gauss-Seidel method for generalized solution sets to interval linear systems

Reliable Computing

Volumn 7, Issue 2, 2001, Pages 141-155

  Shary, Sergey P ^a  

^a INSTITUTE OF COMPUTATIONAL TECHNOLOGIES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035305035     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011422215157     Document Type: Article

References (16)

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3. Berman, A. and Plemmons, R. J.: Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York, 1979.
4. Gardeñes, E. and Trepat, A.: Fundamentals of SIGLA, an Interval Computing System over the Completed Set of Intervals, Computing 24 (1980), pp. 161-179.
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8. Lakeyev, A. V.: Computational Complexity of Estimation of the Generalized Solution Sets to Interval Linear Systems, in: Proceedings of XI International Conference "Optimization Methods and Their Applications", Irkutsk, Baikal, July 5-12, 1998, section 4, Irkutsk, 1998, pp. 115-118 (in Russian).
9. Neumaier, A.: Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.
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11. Shary, S. P.: Algebraic Approach to the Interval Linear Static Identification, Tolerance and Control Problems, or One More Application of Kaucher Arithmetic, Reliable Computing 2 (1) (1996), pp. 3-33.
12. Shary, S. P.: Algebraic Solutions to Interval Linear Equations and Their Applications, in: Alefeld, G. and Herzberger, J. (eds), Numerical Methods and Error Bounds, Berlin, Akademie Verlag, 1996, pp. 224-233.
13. Shary, S. P.: Linear Static Systems under Interval Uncertainty: Algorithms to Solve Control and Stabilization Problems, in: Reliable Computing. Supplement. Extended Abstracts of APIC'95, International Workshop on Applications of Interval Computations, El Paso, TX, 1995, pp. 181-184.
14. Shary, S. P.: Outer Estimation of Generalized Solution Sets to Interval Linear Systems, in: SCAN-98, IMACS/GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, Budapest, September 22-25, 1998, Volume of extended abstracts, Budapest, 1998, pp. 159-160.
15. Shary, S. P.: Outer Estimation of Generalized Solution Sets to Interval Linear Systems, Reliable Computing 5 (3) (1999), pp. 323-336. Also published in: Csendes, T. (ed.), Developments in Reliable Computing, Kluwer Academic Publishers, Dordrecht, 1999.
16. Shary, S. P.: Outer Estimation of Generalized Solution Sets to Interval Linear Systems, Reliable Computing 5 (3) (1999), pp. 323-336. Also published in: Csendes, T. (ed.), Developments in Reliable Computing, Kluwer Academic Publishers, Dordrecht, 1999.