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Interval algorithm for absolute value equations

Aixiang Wang, Haijun Wang, Yongkun Deng (2011)

Open Mathematics

We investigate the absolute value equations Ax−|x| = b. Based on ɛ-inflation, an interval verification method is proposed. Theoretic analysis and numerical results show that the new proposed method is effective.

Interval fuzzy matrix equations

Emília Draženská, Helena Myšková (2017)

Kybernetika

This paper deals with the solvability of interval matrix equations in fuzzy algebra. Fuzzy algebra is the algebraic structure in which the classical addition and multiplication are replaced by maximum and minimum, respectively. The notation 𝐀 X 𝐂 = 𝐁 , where 𝐀 , 𝐁 , 𝐂 are given interval matrices and X is an unknown matrix, represents an interval system of matrix equations. We can define several types of solvability of interval fuzzy matrix equations. In this paper, we shall deal with four of them. We define the...

Interval solutions of linear interval equations

Jiří Rohn (1990)

Aplikace matematiky

It is shown that if the concept of an interval solution to a system of linear interval equations given by Ratschek and Sauer is slightly modified, then only two nonlinear equations are to be solved to find a modified interval solution or to verify that no such solution exists.

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