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Design of fundamental gravity networks based on the approximation of the given variance-covariance matrix
Abstract Techniques will be presented for the design of one-dimensional gravity nets by means of given variance-covariance matrices. After a critical review of the methods for the solution of the matrix equation (ĀTP̄Ā)−1 = Q̄X, we shall compare different numerical results in order to judge the quality of the designs carried out by means of anSVD criterion matrix, by a criterion matrix created according to an assumed distance-dependence of the mean errors of the grid points, and by means of an iteratively improved criterion matrix respectively.
Design of fundamental gravity networks based on the approximation of the given variance-covariance matrix
Abstract Techniques will be presented for the design of one-dimensional gravity nets by means of given variance-covariance matrices. After a critical review of the methods for the solution of the matrix equation (ĀTP̄Ā)−1 = Q̄X, we shall compare different numerical results in order to judge the quality of the designs carried out by means of anSVD criterion matrix, by a criterion matrix created according to an assumed distance-dependence of the mean errors of the grid points, and by means of an iteratively improved criterion matrix respectively.
Design of fundamental gravity networks based on the approximation of the given variance-covariance matrix
Sárhidai, A. (author)
Bulletin Gæodésique ; 60
1986
Article (Journal)
English
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
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