4.5 Article

An algorithm for computing the hull of the solution set of interval linear equations

Journal

LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 435, Issue 2, Pages 193-201

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2011.02.021

Keywords

Interval linear equations; Solution set; Interval hull; Algorithm; Absolute value inequality

Funding

  1. Czech Republic Grant Agency [201/09/1957, 201/08/J020]
  2. Institutional Research Plan [AV0Z10300504]

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Described is a not-a-priori-exponential algorithm which for each n x n interval matrix A and for each interval n-vector b in a finite number of steps either computes the interval hull of the solution set of the system of interval linear equations Ax = b, or finds a singular matrix S is an element of A. (C) 2011 Elsevier Inc. All rights reserved.

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