Decomposition of data into a sum of nonlinear functions Application to astronomical observations

Mathematics

Scientific paper

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Astronomical Photometry, Astronomical Spectroscopy, Data Reduction, H Alpha Line, Nonlinear Equations, Superposition (Mathematics)

Scientific paper

In astronomical observations we often encounter spectra which are a result of superposition of individual contributions from phenomena of similar kind. We describe here a method together with its algorithm by which one can decompose a given set of data into a number of nonlinear functions and apply the method to a couple of astronomical data-sets. We discuss the modifications to be made in the algorithm, appropriate to the particular problem, in order to arrive at a solution. This method can be used in high-resolution spectroscopic and photometric data on astronomical objects to extract valuable information which otherwise is not apparent.

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