部分多变量变量误差模型及其在结算监测中的应用

IF 0.4 Q4 MATHEMATICS, APPLIED Numerical Analysis and Applications Pub Date : 2024-09-13 DOI:10.1134/s1995423924030017

Q. Wang, F. Hu

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引用次数: 0

摘要

摘要针对多元变量误差（MEIV）模型的系数矩阵包含常数列的问题，将MEIV模型扩展为部分多元变量误差（PEIV）模型，并根据部分变量误差（PEIV）模型的原理和间接调整的方法，提出了PEIV模型的新算法。该算法简单易行。以坐标变换为例进行验证，并将结果与现有的 MEIV 模型算法进行比较，结果表明了所提算法的有效性。最后，将 P-MEIV 算法应用于沉降监测的多点灰色模型（MGM(1,N)）。结果表明，本文提出的 P-MEIV 模型能较好地考虑监测点误差的影响，估计结果与实际情况吻合较好。

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Partial Multivariate Errors-in-Variables Model and Its Application in Settlement Monitoring

Abstract

Aiming at the problem that the coefficient matrix of multivariate errors-in-variables (MEIV) model contains constant columns, the MEIV model is extended to Partial multivariate errors-in-variables (P-MEIV), and the new algorithm of P-MEIV model is proposed based on the principle of Partial errors-in-variables (PEIV) model and indirect adjustment. The algorithm is simple and easy to implement. An example of coordinate transformation is used for verifying, and the results are compared with the existing MEIV model algorithm, which shows the effectiveness of the proposed algorithm. Finally, the P-MEIV algorithm is applied to the multi-point grey model (MGM(1,N)) of settlement monitoring. The results show that the P-MEIV model proposed in this paper can better consider the influence of monitoring point errors, and the estimated results are in good agreement with the actual situation.

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来源期刊

Numerical Analysis and Applications MATHEMATICS, APPLIED-

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Numerical Analysis and Applications is the translation of Russian periodical Sibirskii Zhurnal Vychislitel’noi Matematiki (Siberian Journal of Numerical Mathematics) published by the Siberian Branch of the Russian Academy of Sciences Publishing House since 1998. The aim of this journal is to demonstrate, in concentrated form, to the Russian and International Mathematical Community the latest and most important investigations of Siberian numerical mathematicians in various scientific and engineering fields. The journal deals with the following topics: Theory and practice of computational methods, mathematical physics, and other applied fields; Mathematical models of elasticity theory, hydrodynamics, gas dynamics, and geophysics; Parallelizing of algorithms; Models and methods of bioinformatics.