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Efficient curve fitting: An application of multiobjective programming
Authors:L Pourkarimi  MA Yaghoobi  M Mashinchi
Institution:1. Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran;2. Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran
Abstract:Curve fitting is an interesting and important subject in mathematics and engineering. It has been studied extensively and a number of approaches, mostly based on polynomials and piecewise polynomials, have been employed. In the usual setting, some data points are given and one wants to find a polynomial function with the minimum violations measured by a norm in the given data points. In these approaches, norms are applied to aggregate all violations as a scalar.
Keywords:Multiobjective linear programming  Maximal efficient face  Efficiency  Curve fitting  Smoothness
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