TOLERANCE-CONTROL SOLUTIONS TO INTERVAL LINEAR EQUATIONS

Li Guo Tian, Li Wei, Qin Wang · 2013

In this paper, we discuss the solution of interval linear equations from the point of view of the vector components.Tolerance solutions, control solutions, algebraic solutions and localized solutions are defined based on the relationship of two vectors as a whole, this paper detailed considerate the relationship of components between the two vectors.A new type of solutions, tolerance-control solutions, to interval linear equations are proposed, and the characteristics of the new solutions are described, which is similar to the well-know Oettli-Prager inequality.

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