A modified R1 X R1 method for helioseismic rotation inversions

F. P. Pijpers; M. J. Thompson

doi:10.1093/mnras/279.2.498

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arXiv · astro-ph/9510143

A modified R1 X R1 method for helioseismic rotation inversions

F. P. Pijpers·M. J. Thompson

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Abstract

We present an efficient method for two dimensional inversions for the solar rotation rate using the Subtractive Optimally Localized Averages (SOLA) method and a modification of the R1 X R1 technique proposed by Sekii (1993). The SOLA method is based on explicit construction of averaging kernels similar to the Backus-Gilbert method. The versatility and reliability of the SOLA method in reproducing a target form for the averaging kernel, in combination with the idea of the R1 X R1 decomposition, results in a computationally very efficient inversion algorithm. This is particularly important for full 2-D inversions of helioseismic data in which the number of modes runs into at least tens of thousands.

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F. P. Pijpers, M. J. Thompson. 1995-10-27. A modified R1 X R1 method for helioseismic rotation inversions. https://doi.org/10.1093/mnras%2F279.2.498

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