دورية أكاديمية
On an Improved Iterative Reweighted Least Squares Algorithm in Robust Estimation
| العنوان: | On an Improved Iterative Reweighted Least Squares Algorithm in Robust Estimation |
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| المؤلفون: | FANG Xing, HUANG Lixiong, ZENG Wenxian, WU Yun |
| المصدر: | Acta Geodaetica et Cartographica Sinica, Vol 47, Iss 10, Pp 1301-1306 (2018) |
| بيانات النشر: | Surveying and Mapping Press |
| سنة النشر: | 2018 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | robust estimation, iterative reweighted least-squares, matrix inversion, Mathematical geography. Cartography, GA1-1776 |
| الوصف: | In geodesy,classical least squares (LS) estimation methods rely heavily on assumptions which are often not met in practice.In particular,it is often assumed that the data errors are zero mean distributed,at least appproximately.Unfortunately,when there are outliers in the data,the classical LS estimators frequently have meaningless performance.In this case,robust estimation such as M-type estimation is usually applied,which is numerically implemented by a so called iterative reweighted least squares algorithm.In the current reweighting process,however,the equivalent normal matrix is required to be inverted in every iteration,which needs an expensive computation demand,especially when the number of the unknown parameters is large.Therefore,in this contribution,the numerical process of the iterative reweighted least squares algorithm is essentially improved,which is mainly represented by avoiding the inversion of the equivalent normal matrix.The numerical example shows that the improved version is performed much superior to the previous one. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | Chinese |
| تدمد: | 1001-1595 |
| العلاقة: | http://html.rhhz.net/CHXB/html/2018-10-1301.htmTest; https://doaj.org/toc/1001-1595Test; https://doaj.org/article/152d32027938492fa472d87c07832b93Test |
| DOI: | 10.11947/j.AGCS.2018.20170576 |
| الإتاحة: | https://doi.org/10.11947/j.AGCS.2018.20170576Test https://doaj.org/article/152d32027938492fa472d87c07832b93Test |
| رقم الانضمام: | edsbas.9A2B4BEB |
| قاعدة البيانات: | BASE |
| تدمد: | 10011595 |
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| DOI: | 10.11947/j.AGCS.2018.20170576 |