Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471026 | Computers & Mathematics with Applications | 2014 | 17 Pages |
Abstract
In this work, we extend the concept of generalized solution sets that is introduced for the first time by Shary (1996, 1999), to the interval generalized Sylvester matrix equation ∑i=1pAiXi+∑j=1qYjBj=C. Then AE-solution sets for this equation will be characterized and we develop some approaches (called algebraic approaches) in which the inner and outer estimation problems for some special cases of AE-solution sets reduce to problems of computing algebraic solutions of some auxiliary interval equations. Also we present a numerical technique that is an extension of the well-known interval Gauss–Seidel method for outer estimation of the solution set.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Marzieh Dehghani-Madiseh, Mehdi Dehghan,