Open AccessRanking and Winnowing Gross Earth Data for Inversion and Resolution
Author(s) -
Gilbert Freeman
Publication year - 1971
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1971.tb01807.x
Subject(s) - inversion (geology) , inverse , covariance matrix , mathematics , matrix (chemical analysis) , transformation (genetics) , algorithm , geology , geometry , chemistry , paleontology , biochemistry , structural basin , gene , chromatography
Summary It is proposed that the covariance matrix and the inner product matrix of Frechét kernels be diagonalized simultaneously to provide greater flexibility and numerical stability in solving inverse problems and calculating tradeoff curves. The transformation that performs the simultaneous diagonalization is given. The simplified calculations for tradeoff curves are presented.