3 Inversion Basics

Various inversion techniques are used to infer the internal rotation profile from the observed frequency splittings. The aim of the inversion procedure is to form linear combinations of the data that give well-localized inferences of the rotation at a particular location within the Sun. We will discuss only linear inversion methods, as non-linear approaches are not needed for the relatively low velocities involved in the global rotation.

 3.1 The inversion problem
 3.2 Averaging kernels
 3.3 Inversion errors
 3.4 Regularized least squares
 3.5 Optimally localized averaging
 3.6 Other methods
 3.7 Limitations

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