A study of the efficiency of some inversion techniques applied to a simple model of the moon

Details A study of the efficiency of some inversion techniques applied to a simple model of the moon A study of the efficiency of some inversion techniques applied to a simple model of the moon

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...184..373d&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 184, no. 1-2, Oct. 1987, p. 373-380.

Astronomy and Astrophysics

Astronomy

Moon, Planetary Structure, Inversions, Singularity (Mathematics), Moon, Models, Techniques, Astronomy, Structure, Oscillations, Density, Numerical Methods, Parameters, Shear Modulus, Calculations, Data

Scientific paper

Aspects of the Backus-Gilbert, Moore-Penrose, and singular value decomposition inversion techniques are considered, and a close connection is shown to exist between the generalized Moore-Penrose inverse and the solution obtained by singular value decomposition. Simple lunar models are used to investigate the degree of nonuniqueness in inverting the free oscillation data. An algorithm using the singular value decomposition inversion scheme is shown to be capable of handling both inconsistent and rank-deficient data within prescribed tolerances.

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