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    STUDIA MATHEMATICA - Issue no. 4 / 2014  
         
  Article:   ENCLOSING THE SOLUTION SET OF OVERDETERMINED SYSTEMS OF INTERVAL LINEAR EQUATIONS.

Authors:  . 		 
       
         
  Abstract:   We describe two methods to bound the solution set of full rank intervallinear equation systems Ax = b where A Î IRm×n, m > n is a full rank interval matrix and b Î IRm is an interval vector. The methods are based on the concept of generalized solution of overdetermined systems of linear equations. We use two type of preconditioning the m × n system: multiplying the system with the generalized inverse of the midpoint matrix or with the transpose of the midpoint matrix. It results an n × n system which we solve using Gaussian elimination or the method provided by J. Rohn in [8]. We give some examples in which we compare the efficiency of our methods and compare the results with the interval Householder method [11].

Mathematics Subject Classification (2010): 65G06.
Keywords: Interval linear equation, overdetermined, preconditioning.
 
         
     
         
         
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