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Outer Estimation of Generalized Solution Sets to Interval Linear Systems
[chapter]
1999
Developments in Reliable Computing
In the paper, we advance a numerical technique for enclosing generalized AE-solution sets to interval linear systems. The main result of the paper is an extension of the well-known interval Gauss-Seidel method to the problems of outer estimation of these generalized solution sets. We give a theoretical study of the new method, prove an optimality property for the generalized interval Gauss-Seidel iteration applied to the systems with the interval M-matrices.
doi:10.1007/978-94-017-1247-7_25
dblp:conf/scan/Shary98
fatcat:pk73od3h6bbx7dpj4civk6tvai