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A Method for Outer Interval Solution of Systems of Linear Equations Depending Linearly on Interval Parameters

✍ Scribed by Iwona Skalna


Publisher
Springer
Year
2006
Tongue
English
Weight
266 KB
Volume
12
Category
Article
ISSN
1385-3139

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A method is described for solving a system of n linear equations in n unknowns when the coefficients and constants of the equations are specified as intervals. Here a solution is considered to be the supplying of optimal interval bounds for the unknowns. Even for small n, such systems of interval eq

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A standard system of interval linear equations is defined by Ax = b, where A is an m x n coefficient matrix with (compact) intervals as entries, and b is an m-dimensional vector whose components are compact intervals. It is known that for systems of interval linear equations the solution set, i. e.,