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Geometric precision evaluation methodology of multiple reference station network algorithms
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作者 李显 吴美平 +1 位作者 张开东 黄杨明 《Journal of Central South University》 SCIE EI CAS 2013年第1期134-141,共8页
To evaluate the performance of real time kinematic (RTK) network algorithms without applying actual measurements, a new method called geometric precision evaluation methodology (GPEM) based on covariance analysis was ... To evaluate the performance of real time kinematic (RTK) network algorithms without applying actual measurements, a new method called geometric precision evaluation methodology (GPEM) based on covariance analysis was presented. Three types of multiple reference station interpolation algorithms, including partial derivation algorithm (PDA), linear interpolation algorithms (LIA) and least squares condition (LSC) were discussed and analyzed. The geometric dilution of precision (GDOP) was defined to describe the influence of the network geometry on the interpolation precision, and the different GDOP expressions of above-mentioned algorithms were deduced. In order to compare geometric precision characteristics among different multiple reference station network algorithms, a simulation was conducted, and the GDOP contours of these algorithms were enumerated. Finally, to confirm the validation of GPEM, an experiment was conducted using data from Unite State Continuously Operating Reference Stations (US-CORS), and the precision performances were calculated according to the real test data and GPEM, respectively. The results show that GPEM generates very accurate estimation of the performance compared to the real data test. 展开更多
关键词 network DGPS algorithms geometric precision evaluation covariance analysis partial derivation algorithm linearinterpolation algorithm least squares collocation
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AN ALGORITHM OF UNCONSTRAINED MINIMIZATION WITHOUT DERIVATIVE AND ITS CONVERGENCE
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作者 赖兰 《Acta Mathematica Scientia》 SCIE CSCD 1992年第2期139-143,共5页
In [1] the unconstrained minimization problem was considered and presented an algorithm without derivative. But the terminative conditions and convergence proof of the algorithm were not given. In this paper, we prese... In [1] the unconstrained minimization problem was considered and presented an algorithm without derivative. But the terminative conditions and convergence proof of the algorithm were not given. In this paper, we present a revised algorithm and prove its convergence. 展开更多
关键词 AN algorithm OF UNCONSTRAINED MINIMIZATION WITHOUT DERIVATIVE AND ITS CONVERGENCE
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A QUASI-NEWTON ALGORITHM WITHOUT CALCULATING DERIVATIVES FOR UNCONSTRAINED OPTIMIZATION 被引量:1
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作者 Sun Lin-ping(Depatheent of Mathematics, Nanjing Universitg, Jiangsu, China) 《Journal of Computational Mathematics》 SCIE CSCD 1994年第4期380-386,共7页
A new algorithm for unconstrained optimization is developed, by using the product form of the OCSSR1 update. The implementation is especially useful when gradient information is estimated by difference formulae. Preli... A new algorithm for unconstrained optimization is developed, by using the product form of the OCSSR1 update. The implementation is especially useful when gradient information is estimated by difference formulae. Preliminary tests show that new algorithm can perform well. 展开更多
关键词 TF LINE A QUASI-NEWTON algorithm WITHOUT CALCULATING DERIVATIVES FOR UNCONSTRAINED OPTIMIZATION MATH
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