Research Article
Nov 1971
Rigorous Formulas for Effects of Weight Changes
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VIEW THE REPLYPublication: Journal of the Surveying and Mapping Division
Volume 97, Issue 2
Abstract
A simple mathematical approach, in the form of basic matrix algebra relationships, is developed and numerically tested. This approach is followed in order to obtain rigorous formulas for the correction to a precomputed solution of a least squares problem due to changes in the weight matrix of the problem. Correction formulas for the methods of indirect observations and adjustment by conditions are developed. Two numerical examples that demonstrate the rigorousness of the developed formulas are presented. The developed approach can be extended in order to cover almost all possible cases of least squares problems.
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Published In
Journal of the Surveying and Mapping Division
Volume 97 • Issue 2 • November 1971
Pages: 173 - 184
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Nov 1971
Published online: Feb 12, 2021
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Authors
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Mohamed F. Madkour, M.ASCE
Aerial Surveying Div., Survey of Egypt, presently on leave with the Survey Dept. of Libya, Tripoli, Libya.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.