Interval Gauss-Seidel Method for Generalized Solution Sets to Interval Linear Systems

نویسنده

  • Sergey P. Shary
چکیده

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.

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عنوان ژورنال:
  • Reliable Computing

دوره 7  شماره 

صفحات  -

تاریخ انتشار 2001