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Least‐squares collocation
Author(s) -
Moritz Helmut
Publication year - 1978
Publication title -
reviews of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.087
H-Index - 156
eISSN - 1944-9208
pISSN - 8755-1209
DOI - 10.1029/rg016i003p00421
Subject(s) - collocation (remote sensing) , least squares function approximation , mathematics , inverse problem , non linear least squares , field (mathematics) , harmonic , generalized least squares , geophysics , calculus (dental) , computer science , mathematical analysis , estimation theory , geology , algorithm , statistics , physics , remote sensing , medicine , dentistry , quantum mechanics , estimator , pure mathematics
Least‐squares collocation is a mathematical technique for determining the earth's figure and gravitational field by a combination of heterogeneous data of different kinds. The same formulas may be interpreted in very different ways: as the solution of a geophysical inverse problem, as a statistical estimation method combining least‐squares adjustment and least‐squares prediction, and as an analytical approximation to the earth's potential by means of harmonic functions. The present review article attempts a unified presentation of the subject with emphasis on theory.