A preprocessing strategy for helioseismic inversions

Details A preprocessing strategy for helioseismic inversions A preprocessing strategy for helioseismic inversions

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...272l...1c&link_type=abstract

Astronomy and Astrophysics, Vol. 272, p. L1 (1993)

Astronomy and Astrophysics

Astrophysics

13

Sun: Oscillations Of, Sun: Rotation Of, Sun Structure Of, Methods: Data Analysis

Scientific paper

Helioseismic inversion in general involves considerable computational expense, due to the large number of modes that is typically considered. This is true in particular of the widely used optimally localized averages (OLA) inversion methods, which require the inversion of one or more matrices whose order is the number of modes in the set. However, the number of practically independent pieces of information that a large helioseismic mode set contains is very much less than the number of modes, suggesting that the set might first be reduced before the expensive inversion is performed. We demonstrate with a model problem that by first performing a singular value decomposition the original problem may be transformed into a much smaller one, reducing considerably the cost of the OLA inversion and with no significant loss of information.

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