Outer Estimation of Generalized Solution Sets to Interval Linear Systems [chapter]

Sergey P. Shary
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