A Fixed Point Method for Tchebycheff Solution of Inconsistent Linear Equations

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Abstract
The problem of solving an inconsistent set of linear equations in the Tchebycheff sense is reduced to solving a finite sequence of inconsistent sets of linear equations in the least-squares sense. The method, which is not a variant of either the simplex method or the well known ascent and descent methods, requires no restrictive assumptions concerning the system of equations. A single solution is obtained, whether or not the problem has a unique Tchebycheff solution.

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