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Article information
1999 , Volume 4, ¹ 4, p.33-44
Lakeyev A.V.
Existence and uniqueness of algebraic solutions to interval linear systems in Kaucher complete interval arithmetic
In this paper, existence and uniqueness of algebraic solutions to interval linear systems in Kaucher complete interval arithmetic is considered. We obtain sufficient uniqueness conditions which are similar to those derived by Neumaier and Rohn, and, for the square case, sufficient existence condition. A subclass of interval matrices has been singled out (``constant signs matrices") for which the above conditions are both necessary and sufficient.
[full text] Classificator Msc2000:- *65F10 Iterative methods for linear systems
- 65G30 Interval and finite arithmetic
Classificator Computer Science:- *G.1.0 General (Numerical Analysis)
- G.1.3 Numerical Linear Algebra
Keywords: Kaucher arithmetic, interval method, interval linear systems, interval arithmetic, interval matrices
Author(s):
Lakeyev Anatoly Valentinovich
PhD. , Associate Professor
Position: Head of Laboratory
Office: Irkutsk Institute of systems dynamics and control theory SB RAS
Address: 664033, Russia, Irkutsk, Lermontov str., 134
Phone Office: (3952) 311390
E-mail: lakeyev@icc.ru
Bibliography link:
Lakeyev A.V. Existence and uniqueness of algebraic solutions to interval linear systems in Kaucher complete interval arithmetic // Computational technologies. 1999. V. 4. ¹ 4. P. 33-44
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