Bera, Rajendra K (1975) *Functional approxmations to experimental data.* Technical Report. National Aeronautical Laboratory, Bangalore, India.

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## Abstract

In engineering sciences it is often necessary to approximate a function to a given set of experimental data either for computational ease or to evaluate the emperical constants in a semi-emperical formulation. In either case 9 one is basically interested in getting the closest fit to13; the provided data by selecting a function with one. or more13; unknown constants. A commonly used method is to choose a13; sequence of functions - usually polynomials - with unknow13; constants which is approximated in a linear least squares13; sense. This results in a set of linear simultaneous equations in the unknown constants. The drawbacks of the method are that not all types of experimental data have a good fit with few terms, and with larger number of terms the resulting coefficient matrix often becomes quickly ill-conditioned. One may cite. the straight polynomials as an example.

Item Type: | Proj.Doc/Technical Report (Technical Report) |
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Uncontrolled Keywords: | Gauss-Markov theorem |

Subjects: | AERONAUTICS > Aerodynamics |

Division/Department: | Aerodynamics |

Depositing User: | Poornima Narayana |

Date Deposited: | 31 Aug 2006 |

Last Modified: | 24 May 2010 09:49 |

URI: | http://nal-ir.nal.res.in/id/eprint/2557 |

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