Title: On the solution of certain overdetermined systems of linear equations that arise in geophysics
Abstract: Journal of Geophysical Research (1896-1977)Volume 74, Issue 4 p. 1045-1051 On the solution of certain overdetermined systems of linear equations that arise in geophysics R. S. Anderssen, R. S. AnderssenSearch for more papers by this author R. S. Anderssen, R. S. AnderssenSearch for more papers by this author First published: 15 February 1969 https://doi.org/10.1029/JB074i004p01045Citations: 19AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract Recent results in numerical analysis on the solution of overdetermined systems of linear equations by the least-squares method are used to shed more light on a series of papers that have appeared in this Journal, which discussed the best procedure for generating a spherical harmonic analysis of a magnetic disturbance. This discussion was initially stimulated by a suggestion of P. F. Fougere (1963). Fougere's original suggestion has certain computational advantages over other suggestions, but its implementation should be reformulated. As a result of the reformulation, the method of solution for an overdetermined system of linear equations (such as arises in the generation of a spherical harmonic analysis) must be based on the use of modified Gram-Schmidt orthonormalization. Though the generation of a spherical harmonic analysis is the only geophysical application discussed in any detail, the conclusions of this paper apply to any geophysical analysis that reduces to the solution of an overdetermined system of linear equations. Citing Literature Volume74, Issue415 February 1969Pages 1045-1051 RelatedInformation
Publication Year: 1969
Publication Date: 1969-02-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 21
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