https://orcid.org/0000-0001-9371-3525
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Abstract
In geodesy, in addition to observation information, there are also parameters additional useful information. Making full use of them can make up for the lack of observation information and form effective constraints on unknown parameters. In order to make the adjustment results unique and stable, we build a function model to solve inequality constraints, and based on the linear complementarity theory, propose to use the potential function descent interior point algorithm to solve the rank deficient problem. After that, we also extend this idea to the study of the ill-posed problem in this paper. Finally, examples are given to demonstrate the efficiency of the proposed algorithm. It is shown that this algorithm satisfies the uniqueness and stability of the solution, and provides a new reference for the research of rank-deficient and ill-posed problems in the future.
Acknowledgement
The authors appreciate the comments and suggestions of the anonymous reviewers, which led a significant improvement in this paper.
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No potential conflict of interest was reported by the author(s).
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Notes on contributors
Zhao Shaojie
Zhao Shaojie, School of Geoscience and Info-Physics Central South University People’s Republic of China, His main research direction is geodetic data processing.
Song Yingchun
Song Yingchun, Ph.D. School of Geoscience and Info-Physics Central South University Changsha People’s Republic of China, His main research direction is survey adjustment theory and geodetic data processing.
Li Wenna
Li Wenna,School of Geoscience and Info-Physics Central South University Changsha People’s Republic of China.