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Article information
1998 , Volume 3, ¹ 2, p.55-66
Sharaya I.A.
On maximal inner estimation of solutions sets to interval linear equations
Complete interval arithmetic may be successfully used for maximal inner estimation of solutions sets to linear equations with interval parameters. It is demonstrated on interval systems of equations Ax = b as an example. An algebraic criterion was obtained for inner and maximal inner interval estimates of 
-solutions sets to interval linear equations. We propose a simple method that checks whether a proper algebraic solution to the dualization equation is a maximal inner interval estimate of the corresponding
-solutions set.
[full text] Classificator Msc2000:- *65F30 Other matrix algorithms
- 65G30 Interval and finite arithmetic
Classificator Computer Science:- *G.1.0 General (Numerical Analysis)
- G.1.3 Numerical Linear Algebra
Keywords: interval linear system, AE-solution set,maximal inner estimate, interval analysis, linear system, interval arithmetic, sets of solutions, maximal inner interval estimates
Author(s):
Sharaya Irene Alexandrovna
Position: Research Scientist
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
E-mail: sharia@ict.nsc.ru
Bibliography link:
Sharaya I.A. On maximal inner estimation of solutions sets to interval linear equations // Computational technologies. 1998. V. 3. ¹ 2. P. 55-66
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