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Article information
2003 , Volume 8, Special issue, p.146-160
Shary S.P.
Once again on inner estimation of solutions set to interval linear systems
For interval linear equations systems of the form , we consider the problem of inner estimation of its {it solution set} formed by all the solutions to the point systems with and . The so-called 'center' approach to the problem is developed that constructs an interval solution around an a priori known 'center point' from the solution set. Finally, we demonstrate that the initial problem can be reduced to minimization of a special quasiconcave function.
Classificator Msc2000:- *65F30 Other matrix algorithms
- 65G30 Interval and finite arithmetic
- 65H10 Systems of equations
Keywords: interval analysis, interval computations, interval matrix, interval uncertainty
Author(s):
Shary Sergey Petrovich
Dr. , Senior Scientist
Position: Leading research officer
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
Phone Office: (3832) 30 86 56
E-mail: shary@ict.nsc.ru
Bibliography link:
Shary S.P. Once again on inner estimation of solutions set to interval linear systems // Computational technologies. 2003. V. 8. Special issue. P. 146-160
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