Systems of linear interval equations

Systems of linear interval equations
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DOI:
10.1016/0024-3795(89)90004-9
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发表时间:
1989-12
影响因子:
1.1
通讯作者:
J. Rohn
J. Rohn
中科院分区:
数学3区
文献类型:
--
作者:
J. Rohn

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本文给出了系数和右端在某个真实的区间内变化的多元非线性方程组解的精确界的计算理论和方法。基于线性互补理论的结果,给出了有限和迭代方法。也正则性条件,正则性测试,并计算精确逆的区间矩阵处理。
This paper presents theory and methods for computing the exact bounds on the solution of a system ofnlinear equations innvariables whose coefficients and right-hand sides vary in some real intervals. Finite and iterative methods are given, based on results from linear complementarity theory. Also regularity conditions, regularity testing, and computing the exact inverse of an interval matrix are dealt with.