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Using Parameter Elimination to Solve Discrete Linear Chebyshev Approximation Problems

2020
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Mathematics
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We consider discrete linear Chebyshev approximation problems in which the unknown parameters of linear function are fitted by minimizing the least maximum absolute deviation of errors. Such problems find application in the solution of overdetermined systems of linear equations that appear in many practical contexts. The least maximum absolute deviation estimator is used in regression analysis in statistics when the distribution of errors has bounded support. To derive a direct solution of the

doi:10.3390/math8122210
fatcat:t6v5ynihf5ajvja6ehmjakdioa