1986•Numerical Functional Analysis and OptimizationRequires access
Chebyshev and L1solutions of overdetermined systems of linear equations with bounded variables
Nabih N. Abdelmalek
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Abstract
Two algorithms are here presented. The first one is for obtaining a Chebyshev solution of an overdetermined system of linear equations subject to bounds on the elements of the solution vector. The second algorithm is for obtaining an L1 solution of an overdetermined system of linear equations subject to the same constraints. Efficient solutions are obtained using linear programming techniques. Numerical results and comments are given.