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IMA Journal of Applied Mathematics 1973 12(2):137-154; doi:10.1093/imamat/12.2.137
© 1973 by Institute of Mathematics and its Applications
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A Fixed Point Method for Tchebycheff Solution of Inconsistent Linear Equations

M. C. EASTON

Department of Applied Mathematics, State University of New York Stony Brook, Long Island, N. Y. 11790, U.S.A.

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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