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Article information
2002 , Volume 7, ¹ 6, p.90-113
Shary S.P.
Optimal external estimation of solution sets of interval systems of equations. Part 1.
A new class of adaptive and sequentially guaranteeing (parameter partitioning methods) (PPS-methods) for computing optimal (exact) component-wise bounds of the solution sets to interval linear systems of equations is presented. A possible generalization of the new technique to the general nonlinear case is considered. The results of numerical calculations and the comparison to other known approaches for solving the given problem are presented.
[full text] Classificator Msc2000:- *65F10 Iterative methods for linear systems
- 65G30 Interval and finite arithmetic
- 65H10 Systems of equations
Classificator Computer Science:- *G.1.0 General (Numerical Analysis)
- G.1.3 Numerical Linear Algebra
- G.1.5 Roots of Nonlinear Equations
Keywords: interval arithmetic, system of equations with interval coefficients, optimal solution, Kaucher arithmetic, numerical example, comparison of methods, parameter partitioning methods, component-wise bounds
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. Optimal external estimation of solution sets of interval systems of equations. Part 1. // Computational technologies. 2002. V. 7. ¹ 6. P. 90-113
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